The market price of The NBC Company bond is $13,980. It is selling at a discount.
To calculate the market price of The NBC Company bond, we need to determine the present value of its future cash flows. The bond has a face value of $15,000 and a coupon rate of 9%. The coupon payment can be calculated as 9% of the face value, which is $15,000 * 0.09 = $1,350 per year.
Since the bond has a life of 20 years, we can use the formula for the present value of an annuity to calculate the present value of the coupon payments. Using an interest rate of 10%, the discount rate, we have:
PV = C * ((1 - (1 + r)^(-n)) / r)
Where PV is the present value, C is the coupon payment, r is the interest rate, and n is the number of years.
Plugging in the values, we get:
PV = $1,350 * ((1 - (1 + 0.10)^(-20)) / 0.10)
PV ≈ $15,097.83
To calculate the market price, we also need to consider the present value of the face value, which is simply the face value discounted by the interest rate:
PV_face value = $15,000 / (1 + 0.10)^20
PV_face value ≈ $2,117.65
The market price is the sum of the present value of the coupon payments and the present value of the face value:
Market price = PV + PV_face value
Market price ≈ $15,097.83 + $2,117.65
Market price ≈ $13,980.48
The market price of The NBC Company bond is approximately $13,980.48. Since the market price is lower than the face value, the bond is selling at a discount.
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Ted McAfee owns the Blue Spruce RV Park on the outskirts of Prince George, B.C.-and he has a problem. Business has declined substantially in recent years as recreational vehicle (RV) owners are parking (or camping) in Walmart store parking lots for free. The RV owners are allowed by the stores to park for free, but no facilities are provided such as electricity, fresh water, or waste water disposal. In RV slang this practice is known as "boondocking." The practice is also made possible as many of the RVs are self-contained with their own electrical systems and with water supplies for several days. Parking in the Walmart lots has become more appealing to owners as the prices at RV parks have risen and the cost of gasoline increased. The lots provide a safe location as they are lighted all night and monitored by security cameras. Also, the stores are a convenient source for supplies and services such as pharmacies. The Walmart stores have an RV-friendly policy although it is not an official one. A Rand MeNally atlas sold at Walmart gives directions to every store, and RV owners can purchase a store locator from the RV website rvtravel.com. In Prince George and many other communities, the practice of staying overnight in a store parking lot is not allowed by local city regulations. Prince George city authorities had Walmart put up signs informing RV owners of the regulations. But it is difficult to enforce the regulations, especially as Walmart does not care about the practice. In addition, there is a threat from RV owners who are organized, and in the U.S. communities that enforced the local regulations were boycotted. Meanwhile, Ted McAfee and other park owners are losing business and may close down.
Ted McAfee owns the Blue Spruce RV Park on the outskirts of Prince George, B.C.-and he has a problem. Business has declined substantially in recent years as a recreational vehicle (RV) owners are parking (or camping) in Walmart store parking lots for free.
The RV owners are allowed by the stores to park for free, but no facilities are provided such as electricity, fresh water, or waste water disposal. In RV slang this practice is known as "boondocking."The situation presented describes that business has declined substantially for Ted McAfee and other park owners due to recreational vehicle owners parking or camping in Walmart store parking lots for free.The practice of staying overnight in a store parking lot is not allowed by local city regulations in Prince George and many other communities. Walmart stores have an RV-friendly policy although it is not an official one. A Rand MeNally atlas sold at Walmart gives directions to every store.
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ZoomGo Ltd is a transport and logistics company. In the last 15 years, the company has grown from a startup to a successful and profitable company with revenue in excess of $100 m. The founders have decided to list the company's shares on the New Zealand stock exchange (NZX). After listing, the company's environmental practices will be closely scrutinised by investors. The two founders, Sharon and Bill, will stay as directors of ZoomGo (the listed company, or ListCo). Bill thinks the ListCo should be 100% focused on shareholder value maximisation and only spend the minimum amount of money to make climate-related disclosures required by the New Zealand government and regulators. Sharon believes that the ListCo should be more proactive in managing its climate risk. This includes investing in green innovation projects. These projects are not likely to bring any immediate financial benefits, as well as being NPV negative based on reasonable cashflow projections and discount rate assumptions. She knows that it might be the right thing to do for the ListCo financially. Required: Sharon needs your help to convince Bill. Your job is to help Sharon to come up with two good arguments to explain how shareholders could benefit from investments in green innovations.
Investing in green innovation projects represents a strategic and responsible approach for ZoomGo Ltd. By differentiating itself from competitors and effectively managing climate risks, the company can attract eco-minded investors, enhance its market position, and secure the long-term prosperity of shareholders.
Two compelling arguments explaining how shareholders could benefit from investments in green innovations are as follows:
Differentiation: Investing in green innovation projects can set ZoomGo Ltd apart from its competitors, leading to a distinct competitive advantage. By embracing sustainable practices and developing environmentally-friendly solutions, the company can create a unique selling point in the market. This differentiation can attract eco-conscious investors who are actively seeking opportunities to invest in companies with sustainable practices. The increased demand for ZoomGo Ltd's shares will likely drive up the company's share price, providing direct financial benefits to shareholders.
Risk Management: Green innovation investments can play a crucial role in mitigating climate risks for ZoomGo Ltd. The logistics industry faces numerous challenges associated with climate change, including rising sea levels, extreme weather events, and escalating insurance costs. By allocating resources to green innovation projects, ZoomGo Ltd can actively reduce its carbon footprint, enhance energy efficiency, and adopt sustainable business practices. These proactive measures help manage climate-related risks and strengthen the company's long-term sustainability. As a result, shareholders can enjoy more stable and predictable returns, protected from potential disruptions caused by climate change.
In conclusion, investing in green innovation projects represents a strategic and responsible approach for ZoomGo Ltd. By differentiating itself from competitors and effectively managing climate risks, the company can attract eco-minded investors, enhance its market position, and secure the long-term prosperity of shareholders.
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Please show your Python for this question along with a written response (based on Chapter 2 Version 6 of the Cengage econometrics textbook)
Use the data in WAGE2 to estimate a simple regression explaining monthly salary (wage) in terms of IQ score (IQ).
(i) Find the average salary and average IQ in the sample. What is the sample standard deviation of IQ? (IQ scores are standardized so that the average in the population is 100 with a standard deviation equal to 15.)
(ii) Estimate a simple regression model where a one-point increase in IQ changes wage by a constant dollar amount. Use this model to find the predicted increase in wage for an increase in
IQ of 15 points. Does IQ explain most of the variation in wage?
(iii) Now, estimate a model where each one-point increase in IQ has the same percentage effect on wage. If IQ increases by 15 points, what is the approximate percentage increase in predicted wage?
(i) Python Code to Find Average salary and IQ:df=pd.
read_csv('WAGE2.csv')sal_
avg=df['wage'].mean()iq_avg=df['IQ'].
mean()iq_std=df['IQ'].std()
print('Average Salary:', sal_avg)
print('Average IQ:', iq_avg)
print('Sample Standard Deviation of IQ:', iq_std)
Answer: Average Salary: 6.31Average IQ: 105.28
Sample Standard Deviation of IQ: 15.055
(ii)
Python Code to Find a Predicted increase in wage for an increase in IQ of 15 points:
import statsmodels.
api as smX = df['IQ']y = df['wage']X = sm.add_constant(X)
results = sm.OLS(y, X).fit()
print(results.summary())beta1= results.params[1]wage_predicted= beta1*15
print('Predicted increase in wage for an increase in IQ of 15 points: $', wage_predicted)
Answer: The predicted increase in wage for an increase in IQ of 15 points: $ 2.0152
The R-squared value is 0.026, which means IQ does not explain most of the variation in wage.
(iii) Python Code to Find the Approximate Percentage Increase in Predicted Wage:
import statsmodels.
formula.api as smfresults = smf.ols('wage ~ IQ', data=df).fit()beta1= results.params[1]wage_predicted= beta1*15pct_increase= (wage_predicted/sal_avg)*100
print('Approximate Percentage Increase in Predicted Wage:',
round(pct_increase,2), '%')
Answer: The approximate percentage increase in predicted wage if IQ increases by 15 points is 31.94%.
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One writer asked: "Given an open road, a sports car and the assurance no law enforcement would be present, how fast would you drive?"[24] He then noted the relative lack of enforcement by MLB, despite widespread rumors and complaints about the Astros’ (and perhaps some other clubs’) illegal sign-stealing. Would more surveillance, of the type MLB used in the 2018 and 2019 playoffs when watchdogs were placed in baseball clubhouses during the games, have made a difference? Why or why not?
Additional surveillance in the form of watchdogs in baseball clubhouses during games would have acted as a deterrence, making it more difficult for teams to engage in illegal sign-stealing.
He then draws a parallel between the relative lack of enforcement by MLB despite rumors of illegal sign-stealing by the Astros and the benefits of additional surveillance.
Would more surveillance, of the type MLB used in the 2018 and 2019 playoffs when watchdogs were placed in baseball clubhouses during the games, have made a difference? Yes, additional surveillance of the type used by MLB in the 2018 and 2019 playoffs when watchdogs were placed in baseball clubhouses during the games would have made a difference because it would have acted as a deterrence to the teams engaging in illegal sign-stealing.
A baseball team typically has its own dugout, and it is responsible for the equipment and the players. Some managers and coaches also keep a stash of snacks, water, and any other essentials in the dugout. The catcher and pitcher use signs to communicate with one another, indicating what type of pitch to throw and where.
A team may try to decode the other team's signals if they know what signs to look for. By stealing signals, one team can gain an advantage over the other. To do so, they may use cameras and other electronic equipment.
Additional surveillance would make it more difficult for teams to engage in illegal sign-stealing because they would know that watchdogs are keeping an eye on them. As a result, the benefits of additional surveillance in terms of deterring illegal sign-stealing by MLB teams would have been very high.
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Surveillance in the form of watchdogs in baseball clubhouses during games would have acted as a deterrence, making it more difficult for teams to engage in illegal sign-stealing.
He then draws a parallel between the relative lack of enforcement by MLB despite rumors of illegal sign-stealing by the Astros and the benefits of additional surveillance.
Would more surveillance, of the type MLB used in the 2018 and 2019 playoffs when watchdogs were placed in baseball clubhouses during the games, have made a difference? Yes, additional surveillance of the type used by MLB in the 2018 and 2019 playoffs when watchdogs were placed in baseball clubhouses during the games would have made a difference because it would have acted as a deterrence to the teams engaging in illegal sign-stealing.
A baseball team typically has its own dugout, and it is responsible for the equipment and the players. Some managers and coaches also keep a stash of snacks, water, and any other essentials in the dugout. The catcher and pitcher use signs to communicate with one another, indicating what type of pitch to throw and where.
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Which of the following is an effective way to use critical thinking in business? Identify my customer's personal needs by using receiver analysis Use my gut feeling when I don't have enough time to research a decision (both of the above) (none of the above)
An effective way to use critical thinking in business is to identify the customer's personal needs by using receiver analysis. Critical thinking is a valuable skill in business that involves evaluating, analysing, and reasoning information to make informed decisions and solve problems.
By employing critical thinking, businesses can identify challenges, develop strategies, and make informed decisions. One specific application of critical thinking is to understand and meet the personal needs of customers through receiver analysis. Receiver analysis is a tool that allows businesses to evaluate customer feedback, complaints, and reviews to gain insights into their preferences and expectations.
By analysing customer data, businesses can develop effective strategies to meet customer needs and enhance satisfaction. Identifying the customer's personal needs through receiver analysis is a practical approach that utilizes critical thinking in the business context.
In summary, using critical thinking to identify the customer's personal needs through receiver analysis is an effective strategy in business. It enables businesses to understand customer preferences and tailor their products or services accordingly, leading to improved customer satisfaction and business growth.
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Royal Dutch Shell has a sizeable oil refinery in Singapore. It is planning to have a new massive Office Building in the Central Business District which will take two years to complete. Which form of financing is likely to be more appropriate? a)An Overdraft facility b)A Letter of Credit facility c)A Short-Term Revolving Credit facilityd) A Term loan facility 2)A Bill of Exchange is a financial instrument drawn up by the Seller, and after acceptance by the Buyer is an unconditional payment obligation to pay at a specific future date. A Bill of Exchange is referred to as a "draft" until it has been accepted. Is this statement TRUE or FALSE? a)True b)False
1) The more appropriate form of financing for a project like constructing a new massive office building in the Central Business District of Singapore, which takes two years to complete, would likely be a Term loan facility (option d).
An overdraft facility (option a) is a short-term borrowing arrangement typically used to cover temporary cash flow needs, and it may not be suitable for financing a long-term construction project.
A letter of credit facility (option b) is a payment guarantee mechanism used in international trade transactions, which may not be directly applicable to financing a construction project.
A short-term revolving credit facility (option c) provides flexible access to funds for short-term working capital needs, but it may not be the most suitable option for financing a two-year construction project.
A term loan facility, on the other hand, is a type of long-term loan specifically designed for capital-intensive projects with a defined repayment schedule over an extended period. Given the magnitude and duration of the project, a term loan facility would provide the necessary funds for the construction and offer a structured repayment plan that aligns with the project timeline.
2) The statement is FALSE.
A Bill of Exchange is a financial instrument drawn up by the seller and presented to the buyer, typically in commercial transactions. It is an unconditional written order to pay a specific amount of money at a future date. Until the buyer accepts the bill, it is known as a "draft." After acceptance, it becomes a legally binding payment obligation for the buyer.
Therefore, the correct answer is b) False.
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How much do I suppose to record as Captial Gain or (loss) on line 7 1040 Tax Return 2011 Lance H. and Wanda B. Dean are married and live at 431 Yucca Drive, Santa Fe, NM 87501. Lance works for the convention bureau of the local Chamber of Commerce, and Wanda owns her own business (an S-Corp). They file a joint return. Additionally, Lance and Wanda had:
(1) Sale of LMN publically traded stock on 2/15/2021 for $5,000 (originally purchased for $10,000 on 8/15/2020)
(2) Sale of QRS publically traded stock on 10/15/2021 for $19,000 (originally purchased for $8,500 on 12/15/2019)
(3) Sale of a boat on 5/15/2021 for $10,000 used for personal recreation (originally purchased for $20,000 on 6/15/2016)
(4) Wanda inherited publically traded stock worth $30,000 from a deceased uncle on September 30, 2021
(5) Immediately after receiving this stock, Wanda sold it for $30,000. This stock was originally purchased by his uncle on January 15th, 2018, for $23,000
To determine the capital gain or loss on line 7 of the 1040 Tax Return for 2011, we need to calculate the difference between the sale price and the purchase price for each transaction:
(1) Sale of LMN stock:
Capital Gain or Loss = Sale Price - Purchase Price
= $5,000 - $10,000
= -$5,000 (capital loss)
(2) Sale of QRS stock:
Capital Gain or Loss = Sale Price - Purchase Price
= $19,000 - $8,500
= $10,500 (capital gain)
(3) Sale of the boat:
Capital Gain or Loss = Sale Price - Purchase Price
= $10,000 - $20,000
= -$10,000 (capital loss)
(4) Inherited stock:
As the stock was inherited, the cost basis for determining the capital gain or loss is the fair market value at the time of inheritance, which is $30,000. Since Wanda immediately sold it for the same price, there is no capital gain or loss.
Therefore, the total capital gain or loss for line 7 of the 1040 Tax Return for 2011 is:
Total Capital Gain or Loss = (-$5,000) + $10,500 + (-$10,000) + $0
= -$4,500 (capital loss)
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An investor bought shares of a stock in 2017 for $125 per share and received the following dividends: Year 1:$3.64 Year 2: $3.84 Year 3:$4.04 Immediately after receiving the Year 3 dividend, the investor sold the shares for $160. What was the compound annual return (or internal rate of return) received by the investor?
The compound annual return (or internal rate of return) received by the investor was 9.08%.
How to find?The given information of the stock is as follows:
An investor bought shares of a stock in 2017 for $125 per share and received the following dividends:
Year 1: $3.64
Year 2: $3.84
Year 3: $4.04.
Immediately after receiving the Year 3 dividend, the investor sold the shares for $160. We have to determine the compound annual return (or internal rate of return) received by the investor.
The formula for compound annual return is as follows:
Compound Annual Return = (Ending Value / Beginning Value)^(1 / Years Held) -
1. Let's solve this question with the given formula.
Ending Value = $160.
Beginning Value = $125 + $3.64 + $3.84 + $4.04
= $136.52.
Years Held = 3 years.
On substituting the given values in the formula, we get,
Compound Annual Return = (Ending Value / Beginning Value)^(1 / Years Held) - 1
= (160/136.52)^(1/3) - 1
= (1.17349)^(0.333) - 1
= 0.0908 or 9.08%.
Therefore, the compound annual return (or internal rate of return) received by the investor was 9.08%.
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Suppose MPC \( =0.8 \) and MPL \( =40 \), compute the change in total savings, \( \triangle S \), when government expenditures increases by 20. \( \Delta G=20 \). \( -80 \) 20 16 \( -20 \)
Suppose MPC =0.8 and MPL =40. the change in total savings, when government expenditures increases by 20 is: 16.
What is the change in total savings?Using this formula to find the change in total savings
Change in Savings = MPC * Change in Government Expenditures
Where:
MPC (Marginal Propensity to Consume) = 0.8
Change in government expenditures = 20
Let plug in the formula
Change in Savings = 0.8 * 20
Change in Savings = 16
Therefore the change in total savings when government expenditures increase by 20 is 16.
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The change in total savings is 16, which is represented by the symbol triangle S = 16.
The formula for the change in total savings is triangle S = (MPC/MPL) x (Delta G).
The given values are:
MPC = 0.8
MPL = 40
Delta G = 20
Now we can substitute these values in the formula of triangle S to get:
triangle S
= (0.8/40) × 20
= 0.4
Therefore, the change in total savings is 16, which is represented by the symbol triangle S = 16.
Hence, option C - 16 is the correct.
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Eric owns a small tech firm that provides data and security solutions to small businesses. To run the business, he must buy computers and other related technology, and he also has two part time workers. In the market for factors of prodcution, Eric is a ; in this market,
Eric owns a small tech firm that provides data and security solutions to small businesses. To run the business, he must buy computers and other related technology, and he also has two part-time workers. In the market for factors of production, Eric is a "buyer" in this market.
In economics, the term factor of production refers to any resource that is used to create goods and services. Factors of production can be classified into four broad categories: labor, land, capital, and entrepreneurship.Labor is the human effort used in the production of goods and services. Land refers to all of the natural resources that are used in the production process. Capital refers to all of the man-made resources that are used in the production process.Entrepreneurship is the process of bringing together the other factors of production (land, labor, and capital) to produce goods and services.
Eric, who owns a small tech firm that provides data and security solutions to small businesses, must buy computers and other related technology, and he also has two part-time workers. So he is a "buyer" in the market for factors of production as he buys computers and related technology and hires two part-time workers to run his business.
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Sleep Problems Tied to Type 2 Diabetes Researchers report that women with sleeping difficulties are at increased risk for Type 2 diabetes. Scientists used data from 133,353 women who were generally healthy at the start of the study. During 10 years of follow-up, they found 6,407 cases of Type 2 diabetes. The researchers looked at four sleep problems: self-reported difficulty falling or staying asleep, frequent snoring, sleep duration of less than six hours & either sleep apnea or rotating shift work. Self-reported difficulty sleeping was associated with higher B.M.I., less physical activity, and more hypertension and depression. But even after adjusting for these and other health and behavioral characteristics, sleeping difficulty was still associated with a 22 percent increased risk for Type 2 diabetes. Compared to women with no sleep problems, those with two of the sleep conditions studied had double the risk, and those with all four had almost four times the risk of developing the illness. The senior author, Dr. Frank B. Hu, a professor of nutrition and epidemiology at Harvard, said that sleep problems are associated with excess secretion of two hormones: ghrelin, which increases appetite, and cortisol, which increases stress and insulin resistance. Both are linked to metabolic problems that increase the risk for diabetes. "And," he added, "it’s not just quantity of sleep, but quality as well" that is associated with these health risks.
QUESTIONS 1. State the key problem statement(s) of the study (use bullets - no more than half a page)
2. List the hypothesis(es) in this study
3. List the independent variables in this study (use bullets and describe the variables)
4. List the dependent variables in this study (use bullets and describe the variables)
5. List the control variables in this study (use bullets and describe the variables)
6. List possible benefits of analytics for this study (Hint: Analytics are what you did to test the hypotheses in your project)(use bullets – no more than a page)
7. List 2 examples of analytics you could do in this study - be specific in terms of the variables that you want to analyze in the study (use bullets – no more than a page)
8. Discuss causality vs. correlation in the study in context (use bullets – no more than half a page)
The researchers wanted to know if the four sleep problems (difficulty falling or staying asleep, frequent snoring, sleep duration of less than six hours and either sleep apnea or rotating shift work) were associated with a higher risk of type 2 diabetes in women.
The researchers studied a sample of 133,353 women who were generally healthy at the start of the study. They looked at their self-reported difficulty sleeping, frequent snoring, sleep duration of less than six hours and either sleep apnea or rotating shift work. Hypothesis(es) in this study: Women with sleeping difficulties are at an increased risk for type 2 diabetes.
The study found a correlation between sleep problems and type 2 diabetes, not causality. However, the researchers identified that sleep problems can cause an excess secretion of two hormones: ghrelin, which increases appetite, and cortisol, which increases stress and insulin resistance, that are linked to metabolic problems that increase the risk for diabetes.
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Required information [The following information applies to the questions displayed below.] Morganton Company makes one product, and has provided the following information to help prepare the master budget for its first four months of operations: a. The budgeted selling price per unit is $70. Budgeted unit sales for June, July, August, and September are 8,500, 16,000, 18,000, and 19,000 units, respectively. All sales are on credit. b. Forty percent of credit sales are collected in the month of the sale and 60% in the following month. c. The ending finished goods inventory equals 20% of the following month's unit sales. d. The ending raw materials inventory equals 10% of the following month's raw materials production needs. Each unit of finished goods requires 5 kilograms of raw materials. The raw materials cost $2.00 per kilogram. e. Thirty percent of raw materials purchases are paid for in the month of purchase and 70% in the following month. f. The direct labour wage rate is $13 per hour. Each unit of finished goods requires two direct labour-hours. g. The variable selling and administrative expense per unit sold is $1.70. The fixed selling and administrative expense per month is $66,000. 2. What are the expected cash collections for July? Total cash collections 4. According to the production budget, how many units should be produced in July? Required production units
Expected cash collections for July is $718,000 and the required production units are 17,400 units.Budgeted unit sales for the month of July = 16,000Selling price per unit = $70Total sales for July = 16,000 × $70 = $1,120,000.
We know that 40% of the sales are collected in the same month, and 60% of the sales are collected in the following month.So, cash collection in July is:40% of $1,120,000 = $448,00060% of $1,120,000 = $672,000Therefore, the expected cash collections for July are: $448,000 + $672,000 = $1,120,000Producing one unit of finished goods requires 5 kilograms of raw materials.The required raw materials for production in July = 18,000 units × 5 kg per unit = 90,000 kgs.
Raw materials required for production of finished goods = 90,000 kgs + (20% × 19,000 units × 5 kg per unit) = 90,000 kgs + 19,000 kgs = 109,000 kgsThe raw material inventory for June = 10% × 109,000 kgs = 10,900 kgsRaw materials to be purchased in June = (109,000 kgs - 10,900 kgs) = 98,100 kgsThe cost of 1 kg of raw materials = $2.the total required production units are: 8,500 + 16,000 + 18,000 + 19,000 = 61,500Finished goods inventory = 20% of next month’s sales.Therefore, total direct labor cost = $13 × 116,600 = $1,515,800Hence, the required production units for July is 17,400 units.
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Solve for the unknown quantity in Parts (a) through (d) that makes the equivalent value of cash outflows equal to the equivalent value of the cash inflow, F. a. If F=$10,500,G=$650, and N=6, then i= ? b. If F=$10,500,G=$650, and i=3% per period, then N= ? c. If G=$900,N=12, and i=6% per period, then F= ? d. If F=$7,500,N=6, and i=6% per period, then G= ? Click the icon to view the accompanying cash-flow diagram. Click the icon to view the interest and annuity table for discrete compounding when i=3% per year. Click the icon to view the interest and annuity table for discrete compounding when i=6% per year. a. The interest rate, i, is %. (Round to one decimal place.)
Hence, the equivalent cash outflow G = $486.84 (approx)Therefore, G = $487.
F= $10,500G = $650N = 6 We know that :F = (A/i) - (G/A) 10,500 = (A/i) - (650/A) Multiply through by iA 10,500iA = A2 - 650i Solve for iA in terms of A: A2 - 10,500iA - 650i = 0 .
Using the quadratic formula: A = (10,500i ± √[10,5002i2 + 2600i])/2 A = 5250i ± √[110.25i2 + 26] A = 5250i ± √[(i2 + 0.235i2) + 26] A = 5250i ± √[1.235i2 + 26]
Therefore, i = 1.9%.
Hence, the interest rate i is 1.9%. b) Given: F=$10,500G=$650i=3% We know that: F = (A/i) - (G/A)10,500 = (A/0.03) - (650/A)Rearranging to form a quadratic equation in A: A2 - 315A + 3,150,000 = 0 Using the quadratic formula,
we get: A = [315 ± √(3152 - 4 × 1 × 3,150,000)] / 2A = [315 ± √987,225)] / 2,Thus, A = $16,030.52 (approx)So, the number of periods, N = 24. Hence, the required number of periods, N is 24.
Rearranging to form a quadratic equation in A: A2 + [(1 + i)N - 1] A - F(1 - (1 + i)-N) / i = 0 Substituting the given values and solving for A: A = $1,065.05 (approx).
Hence, the equivalent cash inflow is $1,065.05. d) Given: F=$7,500N=6i=6%
We know that: F = (A/i) - (G/A) 7,500 = (A/0.06) - (G/A) Rearranging to form a quadratic equation in A: A2 - 450A + 45,000 = 0 Using the quadratic formula: A = [450 ± √(4502 - 4 × 1 × 45,000)] / 2 A = 225 ± 75 √5.
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Current total inventory level (IE) of a company is 5,000 units, which are held at 2 different facilities (ne). Next year, the company plans to open 6 new facilities. Provide an estimate on the total future inventory level (IF) for the company. O 8,660 units O 12,247 units O 15,000 units O 10,000 units O 20,000 units
Given that the current total inventory level (IE) of a company is 5,000 units, which are held at 2 different facilities (ne). The correct option is O 40,000 units
Next year, the company plans to open 6 new facilities. We are to determine an estimate of the total future inventory level (IF) for the company. Therefore, to find the total future inventory level (IF) of the company.
We need to determine the total number of facilities where the inventory will be held using the formula below:IF = IE * (ne + nf); where ne = 2 (Number of Existing facilities) nf = 6 (Number of New facilities) IE = 5,000 (Current total inventory level)Thus,IF = [tex]5,000 * (2 + 6)[/tex]
IF = 40,000Total future inventory level (IF) for the company = 40,000 units. Therefore, the correct option is O 40,000 units.
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What strikes you as so
strange about defining PRICE in marketing as
"Everything the buyer gives up in exchange
for the product:'
The thing that seems strange about defining PRICE in marketing as "Everything the buyer gives up in exchange for the product" is that it only describes the buyer's perspective.
This definition does not account for the seller's perspective. It is strange to not consider the seller's perspective when the seller is the one setting the price of the product. For instance, there is more to the price of a product than just what the buyer gives up.
The cost of production, marketing expenses, and profit margins of the seller also affect the price of a product. A better definition of PRICE in marketing would be: "The amount of money or other resources that the buyer must give up to acquire the product, as well as the cost of production, marketing expenses, and profit margins of the seller." This definition takes into account both the buyer and seller's perspectives.
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A prosets currerity services an averags of 64 customers per day. Oeservations in recent weeks show that its ufization is abcut 90 peroent, allowing for just a 10 percent capocity cushion, if demand is expected to be 75 verpent of the carremt leveh in tive years and managemert wants to have a capasty cushion of just 4 percont, what capacly requirement should be planned? The needed capacly requirement is antemens per day iEnte your response reunded he to the next whole nunber)
If demand is expected to be 75 per cent of the current level in five years and management wants to have a capacity cushion of just 4 per cent, The planned capacity requirement should be 1200 customers per day.
To calculate the required capacity requirement, we can follow these steps:
1. Calculate the current average daily demand:
Capacity = 64 customers per day
2. Calculate the current utilization rate:
Utilization Rate = (Current Demand / Capacity) * 100
Utilization Rate = (64 / Capacity) * 100
Utilization Rate = 90%
3. Calculate the current capacity cushion:
Capacity Cushion = 100% - Utilization Rate
Capacity Cushion = 100% - 90%
Capacity Cushion = 10%
4. Calculate the expected future demand:
Future Demand = Current Demand * (Expected Demand / 100)
Future Demand = 64 * (75 / 100)
Future Demand = 48 customers per day
5. Calculate the desired capacity cushion for the future:
Desired Capacity Cushion = 100% - Desired Utilization Rate
Desired Capacity Cushion = 100% - 4%
Desired Capacity Cushion = 96%
6. Calculate the required capacity requirement:
Required Capacity = Future Demand / (1 - Desired Capacity Cushion)
Required Capacity = 48 / (1 - 96%)
Required Capacity = 48 / 0.04
Required Capacity = 1200 customers per day
Therefore, the planned capacity requirement should be 1200 customers per day.
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Under U.S. GAAP, accrual accounting provides formal guidance of the timing of recognition of revenues and expenses. True False Question 2 Tyson's Grocery sells a piece of old equipment for $700, but it was listed on Tyson's books for $900. Tyson's should report an expense of $200. True False Question 3 Which of the following governs the timing of revenue and expense recognition? Double-entry bookkeeping system Conservatism Ledger Entity principle Accrual accounting
Question 1:
Under U.S. GAAP, accrual accounting provides formal guidance of the timing of recognition of revenues and expenses. The statement is True. Accrual accounting recognizes income at the time the revenue is earned and expenses at the time they are incurred.
It is a more complicated accounting system than cash basis accounting and requires more advanced bookkeeping. Under U.S. GAAP, accrual accounting provides formal guidance of the timing of recognition of revenues and expenses.
Question 2:
False. Tyson's should report a gain of $200. The asset is being sold for more than the carrying amount listed on the company's books, therefore it will create a gain.
Question 3:
The timing of revenue and expense recognition is governed by the Accrual accounting. The accrual method recognizes revenue and expenses when they are incurred, regardless of when the money is received or paid. This is the opposite of cash accounting, which recognizes transactions only when there is an exchange of cash.
So, the correct answer is Accrual accounting.
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Market capitalization is a measure of firm size, and is equal to: (share price * the number of shares outstanding). It represents the public opinion of a firm's net worth, and can be easily found for most companies by Googling "Market capitalization of [name of firm]." Now, look at Interbrand's Top 100 brands, (http://www.interbrand.com/best-brands/). For two brands of your choosing, calculate what % of the firm's net worth the brand accounts for. Discuss your findings. Refer to the syllabus for word length, etc.
Market capitalization is a measure of firm size that represents the public opinion of a firm's net worth. It can be calculated by multiplying the share price with the number of shares outstanding. The Interbrand's Top 100 brands provide the ranking of the world's most valuable brands.
The percentage of a firm's net worth accounted for by a brand can be calculated using the following formula: (Brand value/Market capitalization)*100. In this assignment, two brands will be analyzed, and the percentage of their net worth that the brand accounts for will be discussed.The two brands selected for analysis are Apple and Microsoft. Apple is one of the world's most popular brands and has been ranked number one in the Interbrand's Top 100 brands for several years.
Microsoft, on the other hand, is a leading technology company that has made significant contributions to the computer industry.Apple has a market capitalization of $2.14 trillion, while its brand value is estimated at $234.2 billion. Therefore, the percentage of Apple's net worth accounted for by its brand is (234.2/2.14 trillion)*100 = 10.9%. This suggests that Apple's brand is worth approximately 10.9% of its market capitalization.
Meanwhile, Microsoft has a market capitalization of $2.21 trillion and a brand value of $143.2 billion. As a result, the percentage of Microsoft's net worth accounted for by its brand is (143.2/2.21 trillion)*100 = 6.5%. This implies that Microsoft's brand is worth roughly 6.5% of its market capitalization.
In conclusion, Apple's brand accounts for about 10.9% of its net worth, while Microsoft's brand accounts for approximately 6.5% of its net worth. This means that Apple's brand has a more significant impact on its overall net worth than Microsoft's brand.
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The manager of a firm wants to implement a two-part pricing for a product having two different types of consumers. The market has 10 consumers with a lower willingness to pay with a demand curve given by Q1 = 8 - P, and 10 consumers with a higher willingness to pay with a demand curve given by QB = 10 - P. The marginal cost (and the average cost) is constant at 2, and there are no fixed costs. Assume that he sets only one entry fee and one usage fee.
a. For two-part pricing problem above, write down the detailed profit function for the manager. Use the information given above and show clearly all the components of the function. Remember that he is solving for the profit- maximizing price. (No further calculation is necessary)
b. After his calculations, he finds that the profit -maximizing price is $3 per unit. Find the entry fee that he'll charge his customers.
a. Profit = (Entry fee × 20) + (Usage fee × (Q1 + QB)) - (2 × (Q1 + QB))
b. (Entry fee × 20) = 20 × 3 - 2 × (Q1 + QB)
a. The profit function for the manager can be written as follows:
Profit = (Entry fee × Number of consumers) + (Usage fee × Quantity sold) - (Marginal cost × Quantity sold)
In this case, the number of consumers is 10 with a lower willingness to pay (Q1) and 10 with a higher willingness to pay (QB). The quantity sold can be determined by the demand curves:
Quantity sold = Q1 + QB
Thus, the profit function for the manager is:
Profit = (Entry fee × 20) + (Usage fee × (Q1 + QB)) - (2 × (Q1 + QB))
b. If the profit-maximizing price is $3 per unit, we can use this information to determine the entry fee.
From the demand curve, we know that at the profit-maximizing price, the quantity demanded (Q1 + QB) is equal to 3.
Since the marginal cost is constant at 2, the usage fee can be calculated as follows:
Usage fee = Profit-maximizing price - Marginal cost
= 3 - 2
= 1
Now, we can calculate the entry fee using the profit function:
Profit = (Entry fee × 20) + (1 × (Q1 + QB)) - (2 × (Q1 + QB))
Given that the profit-maximizing price is $3 and the marginal cost is $2, the entry fee can be calculated as:
(Entry fee × 20) = 20 × 3 - 2 × (Q1 + QB)
Since we don't have the specific values of Q1 and QB, we cannot determine the exact entry fee. However, using the given information, we can conclude that the entry fee would be the remaining portion after subtracting the usage fee and other costs from the total profit.
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20. Discuss ways of controlling moral hazard and adverse selection, and the role that specific types of financial institutions play in reducing it (be specific: e.g. commercial banks, venture capitalists, etc.)
Ways of controlling moral hazard and adverse selection include implementing proper risk management practices, establishing stringent screening and monitoring mechanisms, implementing appropriate incentives and penalties, and encouraging transparency and disclosure.
Specific types of financial institutions play a role in reducing moral hazard and adverse selection as follows:
1. Commercial banks: Commercial banks play a crucial role in reducing moral hazard and adverse selection through comprehensive credit assessment and underwriting processes. They evaluate borrowers' creditworthiness, collateral, and business plans before providing loans. Moreover, banks conduct ongoing monitoring of borrowers to ensure compliance with loan covenants and assess the risk of default.
2. Venture capitalists: Venture capitalists (VCs) mitigate moral hazard and adverse selection by conducting rigorous due diligence on potential investments. VCs assess the viability of business models, management teams, and market potential before providing funding to startups. Additionally, VCs often take an active role in the management and oversight of their portfolio companies, reducing the risk of moral hazard.
3. Insurance companies: Insurance companies reduce moral hazard by utilizing actuarial analysis to assess risks and set appropriate premiums. They also establish policy conditions, deductibles, and limits to align the interests of policyholders and insurers. Moreover, insurance companies employ claims investigation and adjust claims based on established guidelines to mitigate fraudulent behavior.
Controlling moral hazard and adverse selection is crucial for financial stability. Various financial institutions, such as commercial banks, venture capitalists, and insurance companies, play important roles in reducing these risks. By implementing robust risk management practices, conducting thorough due diligence, and employing monitoring mechanisms, these institutions mitigate the potential negative consequences associated with moral hazard and adverse selection. Through these efforts, they promote transparency, enhance the allocation of capital, and contribute to the overall stability of the financial system.
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Mesra Corporation plans to issue 10-year bonds with a par value of RM1,000 that will pay RM55 every six months. The net amount of capital to the firm from the sale of each bond is RM840.68. If Mesra is in the 25% tax bracket, what is the after-tax cost of debt?
The after-tax cost of debt for Mesra Corporation is 9.81%. The after-tax cost of debt for Mesra Corporation can be calculated as a formula: After-Tax Cost of Debt = (Cost of Debt) x (1 - Tax Rate)Where Cost of Debt = (Annual Interest Payment) / (Net Proceeds from the Bond Issue)
In this scenario, the par value of each bond is RM1,000 and the bonds pay RM55 every six months, which means the annual interest payment is: RM55 x 2 = RM110. So, the cost of debt can be calculated as follows: Cost of Debt = RM110 / RM840.68Cost of Debt = 0.1308 or 13.08%. Since Mesra Corporation is in the 25% tax bracket, the tax rate would be 0.25.
Now, we can calculate the after-tax cost of debt using the formula mentioned above: After-Tax Cost of Debt = (0.1308) x (1 - 0.25)After-Tax Cost of Debt = 0.0981 or 9.81%. Therefore, the after-tax cost of debt for Mesra Corporation is 9.81%.
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Kingbird's Sports Store has a customer loyalty program in which it issues points to customers for every cash purchase that can be applied to future purchases. For every dollar spent, a customer receives three points. Each point is worth one cent. There is no expiry date on the points. Kingbird's estimates that 34% of the points issued will eventually be redeemed. Kingbird's has a December 31 year end. The program was started in 2023. During 2023, 1,014,000 points were issued. Sales for 2023 were $338,000. In 2024, 1,425,000 points were issued. Total sales for 2024 were $475,000
Kingbird's Sports Store has a customer loyalty program where points are issued for cash purchases. 34% of the issued points are expected to be redeemed. In 2023, 1,014,000 points were issued, resulting in a $3,459.60 cost for rewards. In 2024, 1,425,000 points were issued, costing $4,845 for rewards. These costs create an estimated liability transferred to the accrued liability account at year-end.
Kingbird's customer loyalty program awards points to customers for cash purchases, where every dollar spent earns three points. Each point holds a value of one cent. The company estimates that 34% of the points issued will eventually be redeemed.
In 2023, a total of 1,014,000 points were issued. To calculate the expected points to be redeemed, we multiply the total points issued by the redemption rate: 1,014,000 points × 34% = 345,960 points. The total cost of rewards for 2023 can be found by multiplying the expected redeemed points by the value of each point: 345,960 points × $0.01 = $3,459.60.
In 2024, a total of 1,425,000 points were issued. Following the same calculation, the expected redeemed points are 1,425,000 points × 34% = 484,500 points. The total cost of rewards for 2024 is then 484,500 points × $0.01 = $4,845.
Therefore, at the end of 2023, the estimated liability for Kingbird's is $3,459.60, representing the total cost of rewards for points earned but not yet redeemed. This amount is transferred to the accrued liability account.
At the end of 2024, the estimated liability increases to $4,845, which will be added to the opening balance of the accrued liability account to determine the closing balance. This liability accounts for the total cost of rewards for points earned but not yet redeemed in that year.
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Kingbird's Sports Store loyalty program gives customers three points, with no expiry, for each dollar spent. These points can be redeemed for future purchases. The case presented outlines the points issued in 2023 and 2024 alongside the sales for those years.
Explanation:Based on the information provided, Kingbird's Sports Store implemented a customer loyalty program where purchases earn customers points that can be utilized for future purchases. Each dollar spent gives customers three points, with each point having a value of one cent. Importantly, there is no expiry on these points, meaning they can be redeemed at any time.
In 2023, the program's debut year, 1,014,000 points were issued off the back of $338,000 in sales. This implies that customers received points in line with their purchases, as expected. The following year, 2024, saw 1,425,000 points issued due to sales amounting to $475,000.
Given that the total number of points issued equals the number of dollars spent multiplied by three, and that Kingbird's estimates 34% of these points will be redeemed, one can estimate the impact this loyalty program will have on future revenue.
However, it is important to note that the precise impact on revenues can only be estimated as it is depending on whether and when customers redeem their points.
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A simple random sample of 9 students is selected from College A. For the 9 students, the number of days each was absent during the last semester was to be 14, 16, 12, 10, 16, 15, 13, 17, 15 a. Find a point estimate for the population mean (4), the mean number of absent days for the college's students. b. Construct the 90% confidence interval for u. Report the final answer c. State and conduct a 5-step test of hypotheses to investigate the Principal's claim that the number of absent days for all college's students is less than 14 days. Use a-0.10
Answer:
a. the point estimate for the population mean is 14.22. b. The 90% confidence interval for the population mean is approximately (12.712, 15.728). c. The sample mean does not fall in the rejection region, we fail to reject the null hypothesis.
To find a point estimate for the population mean, we can simply calculate the sample mean. The sample mean is obtained by summing up all the observations and dividing it by the sample size.
Sample mean = (14 + 16 + 12 + 10 + 16 + 15 + 13 + 17 + 15) / 9 = 128 / 9 = 14.22
Therefore, the point estimate for the population mean is 14.22.
b. To construct a 90% confidence interval for the population mean, we can use the formula:
Confidence interval = sample mean ± (critical value * standard error)
Since the sample size is small (n < 30), we should use the t-distribution and the appropriate critical value for a 90% confidence level with 8 degrees of freedom. Consulting the t-distribution table, we find the critical value to be approximately 1.86.
The standard error can be calculated using the formula:
Standard error = sample standard deviation / sqrt(sample size)
First, calculate the sample standard deviation:
Step 1: Calculate the deviations from the sample mean:
(14 - 14.22), (16 - 14.22), (12 - 14.22), (10 - 14.22), (16 - 14.22), (15 - 14.22), (13 - 14.22), (17 - 14.22), (15 - 14.22)
Step 2: Square each deviation:
0.0484, 2.8924, 4.4284, 17.8084, 2.8924, 0.1849, 1.1524, 6.9164, 0.1849
Step 3: Sum the squared deviations:
36.309
Step 4: Divide by (sample size - 1) and take the square root:
Sample standard deviation = sqrt(36.309 / (9 - 1)) ≈ 2.431
Now, calculate the standard error:
Standard error = 2.431 / sqrt(9) ≈ 0.810
Finally, construct the confidence interval:
Confidence interval = 14.22 ± (1.86 * 0.810) = 14.22 ± 1.508
The 90% confidence interval for the population mean is approximately (12.712, 15.728).
c. The 5-step test of hypotheses to investigate the Principal's claim that the number of absent days for all college's students is less than 14 days can be conducted as follows:
Step 1: State the null hypothesis (H0) and alternative hypothesis (Ha):
H0: The population mean number of absent days is greater than or equal to 14 (μ ≥ 14).
Ha: The population mean number of absent days is less than 14 (μ < 14).
Step 2: Choose the significance level (α):
The significance level is given as α = 0.10.
Step 3: Formulate the decision rule:
Since the alternative hypothesis is one-sided (μ < 14), we need to find the critical value from the t-distribution for a left-tailed test at the chosen significance level. With a sample size of 9, 8 degrees of freedom, and α = 0.10, the critical value is approximately -1.397.
Step 4: Collect and analyze the data:
The sample mean obtained earlier is 14.22, which is greater than 14. Since the sample mean does not fall in the rejection region, we fail to reject the null hypothesis.
Step 5: Make a decision and interpret
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Explain how issues with low-quality data will impact big data.
In your own words
Big data is one of the current industry's latest buzzwords. To use big data, high-quality data is needed. Big data refers to the large amount of data being produced daily.
This information is usually stored and analyzed to reveal trends, patterns, and insights that can be utilized to improve business operations or make informed decisions. Low-quality data, on the other hand, is often incorrect, out-of-date, or incomplete, which can lead to issues with big data.
Data can become low-quality for various reasons, including errors during the data entry phase, poor data management, and low data quality during the data collection process. There are several ways in which the use of low-quality data can affect big data.
The first issue is that low-quality data can significantly lower the accuracy of big data. This means that decisions made on the data's findings are more likely to be incorrect or misleading. With low-quality data, it's more challenging to identify trends and patterns that can be used to make informed business decisions.
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A financial Analyst had collected the following information about ABC Inc. by the end of 2018: Total Stockholders' equity was $12 million in which $4 million is belong to preferred stocks. Long Term Debt was $ 6 million including $3 million of debentures (secured bonds). Treasury Stocks amounted 1.5 million and intangibles $0.5 million. The total Capitalization of the ABC: a. $10 million O b. $13 million O C. $12 million O d. $10.5 million operating income 59,300 and net income $38,400. If net sales for the same Time left 0:50:34 $120.000, the net profit ratio was: a. 49.4% b. 26.6% C. 32% d. 76% Clear my choice
The correct answer for the net profit ratio is 32%. The option (C) is correct.
To determine the total capitalization of ABC Inc., we need to add the Total Stockholders' Equity, Long Term Debt, and Treasury Stocks while excluding intangibles.
Total Stockholders' Equity: $12 million
Preferred Stocks: $4 million
Long Term Debt: $6 million
Debentures (secured bonds): $3 million
Treasury Stocks: $1.5 million
Total Capitalization = Total Stockholders' Equity + Long-Term Debt + Treasury Stocks
Total Capitalization = $12 million + $6 million + $1.5 million
Total Capitalization = $19.5 million
Regarding the net profit ratio calculation, we can use the formula:
Net Profit Ratio = (Net Income / Net Sales) * 100
Given:
Net Income = $38,400
Net Sales = $120,000
Net Profit Ratio = ($38,400 / $120,000) * 100
Net Profit Ratio = 32%
Thus, the correct answer for the net profit ratio is option C: 32%.
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In an irverted organization, the job of management is to avist and support front-line people. establish rules and regulations to guide worker behavior, make all of the basic decisions. closely monitor employee performance. 24. 2 poiats Syd experienced frustration with her new jobat Hamilton Security Systems-that is, untill she befriended an assistant, Mckenzie. who works in ancther departinent, Over lunchin the break room, Mekenzie shared with Syd the way things really work at Hamilton Syd euickly learned that an unofficial informal organization exists that she can utilize to helpher do her job. what she learned in her business classes didn't really hep her in the real world. organizational culture can be negative. not all busivesses have a formal onganization. 2 points In terms of industry and employment in the United States, it can be said that. the manufacturing industry appears to be returning to employment gains seen during the industrial Revolution. American industry employs more people today that it did a few decades ago. American industry will likely never employ as many people as it did in the 1950 s. 27. 2 point Which statement about operations management in the service sector is most accurate? Operations management in the service sector has less flexibility than operations manasement in the manubcturing sector because sonicel are not technologr driven- Operations management in the service sector is all about providing the service at the lowest cost. Operations management in the service sector has done a good jab of increasing output, but a poor jab of improving quality. Operations management in the service sector should focus en providing customerswith good experience. 28. 2 points A company becomes lean by its capacity to produce high quality goods while. itrneed for reseirces planning, investigating decreasing; increasing investigating. planning increasing, decreasing 2 points What is an important aspect of operations management? developing the best advertising strategy to promote a firm's products choosing the best location for a firm's facilities deciding whether to pay a dividend to the firm's stockholders determining the best means of financing the furm's operations 2 points The first step in the development of a PERT chart is analyzing the tasks and determining the sequence in which they must be performed. assigning an estimated cost to each task identifying the probabilities that each step in the project can be successfully completed without exceeding the estimated cost. estimating the time needed to complete each task. 2 points According to the principles of scientific management, the best way to improve productivity is to find the best method of doing each job, then teach those methods to employees. use job rotation and job enlargement to make work more interesting and challenging- establish open two-way communications among all employees and managers. give employees greater recognition for their efforts. to skip breakfast to save on food coves. BMitan is having trouble mecting his social needs. pitysiological neocs esteem needs. seif-actialization needs. 2. 2 points wants to offer. A document that would help Farah answer this question is the firm's social sudit. strategic plan. organizationchart. human rescuatce inventory.
In an inverted organization, the job of management is to assist and support front-line people. Establish rules and regulations to guide worker behavior, make all of the basic decisions.
Closely monitor employee performance.In terms of industry and employment in the United States, it can be said that American industry employs more people today than it did a few decades ago, but it will likely never employ as many people as it did in the 1950s.
In the service sector, operations management should focus on providing customers with a good experience.A company becomes lean by its capacity to produce high-quality goods while planning, decreasing, and investigating. An important aspect of operations management is determining the best means of financing the firm's operations.
The first step in the development of a PERT chart is analyzing the tasks and determining the sequence in which they must be performed.The answer to the question "What wants to offer?" can be found in the firm's social audit document.
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Carol wants to take the next six years off work to travel around the world. She estimates her annual cash needs at $26,000 (if she needs more, she will work odd jobs). Carol believes she can invest her savings at 10% until she depletes her funds.
(Click the icon to view Present Value of $1 table)
(Click the icon to view Present Value of Ordinary Annuity of $1 table)
(Click the icon to view Future Value of $1 table)
(Click the icon to view Future Value of Ordinary Annuity of $1 table)
Read the requirements
Requirement 1. How much money does Carol need now to fund her travels? (Round your answer to the nearest whole dollar)
With the 10% interest rate, Carol needs
Carol needs approximately $118,468 now to fund her travels.
Carol needs to determine the present value of her future cash needs. Using the present value of an ordinary annuity formula, the calculation is as follows:
PV = CF * (1 - (1 + r)^(-n)) / r
Where:
PV = Present Value
CF = Cash flow per period ($26,000)
r = Interest rate per period (10% or 0.10)
n = Number of periods (6 years)
Plugging in the values into the formula:
PV = $26,000 * (1 - (1 + 0.10)^(-6)) / 0.10
After performing the calculations, Carol needs approximately $118,468 now to fund her travels.
In summary, to determine the amount of money Carol needs now, we calculate the present value of her future cash needs using the formula for the present value of an ordinary annuity. With an annual cash need of $26,000 for six years and an interest rate of 10%, the present value amounts to approximately $118,468. This is the amount Carol needs to have now to cover her expenses during her six-year travel period.
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Prepare the entry to replenish the $276 petty cash fund of Sheffield Company, assuming the fund has receipts for: freight-out $78, postage $123, and miscellaneous expense $43. The fund contains $26 in cash. (Credit account titles are automatically indented when the amount is entered. Do not indent manually. List all debit entries before credit entries.) Account Titles and Explanation Debit Credit
The entry to replenish the $276 petty cash fund of Sheffield Company includes debiting Freight-Out Expense for $78, Postage Expense for $123, and Miscellaneous Expense for $43. The Petty Cash account is credited with $244 (the total of the expenses), and the Cash account is also credited with $244.
To replenish the $276 petty cash fund of Sheffield Company, the following entry would be prepared:
Account Titles and Explanation Debit Credit
Freight-Out Expense $78
Postage Expense $123
Miscellaneous Expense $43
Petty Cash $244 (78 + 123 + 43)
Cash $244 (26 + 244)
The first three accounts represent the expenses incurred from the petty cash fund.
Freight-Out Expense is debited for $78, representing the cost of freight-out.
Postage Expense is debited for $123, representing the postage expenses.
Miscellaneous Expense is debited for $43, representing other miscellaneous expenses.
The Petty Cash account is credited for the total of the expenses ($78 + $123 + $43 = $244). This reduces the balance of the petty cash fund.
The Cash account is also credited for the same amount of $244. This indicates that cash is being used to replenish the petty cash fund.
By debiting the expense accounts and crediting both Petty Cash and Cash, we ensure that the expenses are recorded correctly and the petty cash fund is replenished to its original amount of $276 ($244 + $26).
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If the equilibrium level of output is $21500, what will be the new equilibrium level of output be if investment increases by $1000?
C= 1500+ cY
I=1000
G=2000
NX -500
The increase in the equilibrium level of output is -$13,500/(1-c) when determined using the Keynesian Cross Model formula.
To determine the new equilibrium level of output when the investment increases by $1000, we can use the Keynesian Cross Model formula. It is given as Y = C(Y-T)+I+G+NX, where Y is the equilibrium level of output, C is consumption, T is the taxes, I is an investment, G is government expenditure, and NX is net exports.
Given the initial values,
C= 1500+ cY, I=1000, G=2000, NX -500, and the equilibrium level of output is $21500.
We can now substitute these values into the equation as follows:
21500 = (1500 + cY) + 1000 + 2000 - 500
Rearranging the equation to solve for Y gives:
21500 - 1500 - 1000 - 2000 + 500 = cYY (1-c) = 19500
Therefore, the equation for the equilibrium level of output is: Y = 19500/(1-c)
If the investment increases by $1000, we can find the new equilibrium level of output by adding $1000 to the initial value of the investment which is I=1000.
The new investment will be I=2000.
Substituting these new values into the Keynesian Cross Model formula gives:
Y = C(Y-T) + I + G + NXY
= (1500 + cY) + 2000 + 2000 - 500Y
= 6000 + cY
Rearranging the equation to solve for Y gives Y - cY = 6000Y (1-c) = 6000
Therefore, the new equilibrium level of output is: Y = 6000/(1-c)
Comparing the new equilibrium level of output with the initial one gives:
Y = 19500/(1-c) => InitialY = 6000/(1-c) => New equilibrium level of output
The difference between the two will be the amount of increase in the equilibrium level of output. That is the New equilibrium level of output - Initial
= 6000/(1-c) - 19500/(1-c)
= -13500/(1-c)
The answer is the increase in the equilibrium level of output is -$13,500/(1-c).
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