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Three different companies each purchased trucks on January 1, 2018, for $80,000. Each truck was expected to last four years or 250,000 miles. Salvage value was estimated to be $4,000. All three trucks were driven 78,000 miles in 2018, 55,000 miles in 2019, 50,000 miles in 2020, and 70,000 miles in 2021. Each of the three companies earned $69,000 of cash revenue during each of the four years. Company A uses straight-line depreciation, company B uses double-declining-balance depreciation, and company C uses units-of-production depreciation.
Answer each of the following questions. Ignore the effects of income taxes.

a-1. Calculate the net income for 2018? (Round "Per Unit Cost" to 3 decimal places.)

a-2. Which company will report the highest amount of net income for 2018?

b-1. Calculate the net income for 2021? (Round "Per Unit Cost" to 3 decimal places.)

b-2. Which company will report the lowest amount of net income for 2021?

c-1. Calculate the book value on the December 31, 2020, balance sheet? (Round "Per Unit Cost" to 3 decimal places.)

c-2. Which company will report the highest book value on the December 31, 2020, balance sheet?

d-1. Calculate the retained earnings on the December 31, 2021, balance sheet?

d-2. Which company will report the highest amount of retained earnings on the December 31, 2021, balance sheet?

E.Which company will report the lowest amount of cash flow from operating activities on the 2020 statement of cash flows?

A tire manufacturer produces tires that have a mean life of at least 30000 miles when the production process is working properly. The operations manager stops the production process if there is evidence that the mean tire life is below 30000 miles. The testable hypotheses in this situation are ?0:?=30000 H 0 : μ = 30000 vs ??:?<30000 H A : μ < 30000 .

1. Identify the consequences of making a Type I error. A. The manager does not stop production when it is necessary. B. The manager does not stop production when it is not necessary. C. The manager stops production when it is not necessary. D. The manager stops production when it is necessary.

2. Identify the consequences of making a Type II error. A. The manager does not stop production when it is not necessary. B. The manager stops production when it is not necessary. C. The manager stops production when it is necessary. D. The manager does not stop production when it is necessary. To monitor the production process, the operations manager takes a random sample of 15 tires each week and subjects them to destructive testing. They calculate the mean life of the tires in the sample, and if it is less than 28500, they will stop production and recalibrate the machines. They know based on past experience that the standard deviation of the tire life is 2000 miles.

3. What is the probability that the manager will make a Type I error using this decision rule? Round your answer to four decimal places.

4. Using this decision rule, what is the power of the test if the actual mean life of the tires is 28600 miles? That is, what is the probability they will reject ?0 H 0 when the actual average life of the tires is 28600 miles? Round your answer to four decimal places.

A tire manufacturer produces tires that have a mean life of at least 30000 miles when the production process is working properly. The operations manager stops the production process if there is evidence that the mean tire life is below 30000 miles.

The testable hypotheses in this situation are H0:μ=30000H0:μ=30000 vs HA:μ<30000HA:μ<30000.

1. Identify the consequences of making a Type I error.
A. The manager stops production when it is not necessary.
B. The manager stops production when it is necessary.
C. The manager does not stop production when it is not necessary.
D. The manager does not stop production when it is necessary.

2. Identify the consequences of making a Type II error.
A. The manager stops production when it is necessary.
B. The manager does not stop production when it is necessary.
C. The manager does not stop production when it is not necessary.
D. The manager stops production when it is not necessary.

To monitor the production process, the operations manager takes a random sample of 30 tires each week and subjects them to destructive testing. They calculate the mean life of the tires in the sample, and if it is less than 29000, they will stop production and recalibrate the machines. They know based on past experience that the standard deviation of the tire life is 2750 miles.

3. What is the probability that the manager will make a Type I error using this decision rule? Round your answer to four decimal places.

4. Using this decision rule, what is the power of the test if the actual mean life of the tires is 28750 miles? That is, what is the probability they will reject H0H0 when the actual average life of the tires is 28750 miles? Round your answer to four decimal places.

1. Tables below shows the standard deviations over the last five years and the correlations between the returns of the stocks and the market.

1. Calculate the CAPM beta for each stock. b. Which stock had the greater total risk? Explain. c. Which stock had the greater market risk? Explain. d. Which stock had the greater idiosyncratic (non-market) risk? Explain

Tobacco Company of America is a very stable billion-dollar company with sales growth of about 5 percent per year in good or bad economic conditions. Because of this stability (a correlation coefficient with the economy of +.3 and a standard deviation of sales of about 5 percent from the mean), Mr. Weed, the vice-president of finance, thinks the company could absorb some small risky company that could add quite a bit of return without increasing the company’s risk very much. He is trying to decide which of the two companies he will buy. Tobacco Company of America’s cost of capital is 10 percent.

a. What is the expected cash flow for each company?

b. Which company has the lower coefficient of variation?

c. Compute the net present value of each company.

d. Which company would you pick, based on net present values

A beam with a cross-section of 0.3 m x 0.7 m has an effective depth of 0.638 m and a span of 4.30 m. Use the following data below to determine (a) the steel requirement due to flexure, (b) ultimate threshold torsion, and (c) spacing of stirrup due to combined shear and torsion:

M_u = 322 KN-m

V_u = 317 KN

T_u = 42 KN-m

f'c =28 MPa

f_yt = 414 MPa

12 mm stirrup diameter

cover of 0.04 m

An autosomal gene is segregating two alleles, R and r, with respective frequencies 0.3 and 0.7. If mating is random, what are the expected frequencies of the genotypes? Now suppose that every individual in the population mates with a sibling. What will the genotype frequencies be among the offspring? Suppose instead that every individual mates with a first cousin. What will the genotype frequencies be among their offspring? Finally, suppose that after many generations of random mating, every individual in the population reproduces by self- fertilization. What will the genotype frequencies be among the offspring of this kind of inbreeding?

The Gardner Theater, a community playhouse, needs to determine the lowest-cost production budget for an upcoming show. Specifically, they have to determine which set pieces to construct and which, if any, set pieces to rent from another local theater at a predetermined fee. However, the organization has only two weeks to fully construct the set before the play goes into technical rehearsals. The theater has two part-time carpenters who work up to 12 hours a week, each at $10 an hour. Additionally, the theater has a part-time scenic artist who can work 15 hours per week to paint the set and props as needed at a rate of $15 per hour. The set design requires 20 flats (walls), two hanging drops with painted scenery, and three large wooden tables (props). The number of hours required for each piece for carpentry and painting is shown below:

The Gardner Theater, a community playhouse, needs to determine the lowest-cost production budget for an upcoming show. Specifically, they have to determine which set pieces to construct and which, if any, set pieces to rent from another local theater at a predetermined fee. However, the organization has only two weeks to fully construct the set before the play goes into technical rehearsals. The theater has two part-time carpenters who work up to 12 hours a week, each at $10 an hour. Additionally, the theater has a part-time scenic artist who can work 15 hours per week to paint the set and props as needed at a rate of $15 per hour. The set design requires 20 flats (walls), two hanging drops with painted scenery, and three large wooden tables (props). The number of hours required for each piece for carpentry and painting is shown below: