You are the manager of a theater. At present, the theater charges the same admission price of $8 to all customers, regardless of age. You propose a two-tier pricing scheme: $5 for children under the age of 12 and $10 for adults. You tell your supervisor that your proposal is likely to increase revenue. "What must be true about the price elasticity of demand if your proposal is to achieve its goal of raising revenue?

1) Explain the concepts of cross-price elastic of demand, using one of the examples in the table above. What does a positive or negative value indicate? When doing elasticity of demand what is the sign always for a normal good?

2)Explain the concepts of income elasticity using one of the items in the table above. What does a positive value indicate? What about a negative value indicate?

3) When the price of Bob’s Coffee House increased by 8 percent, the quantity demanded of Alex’s Coffee House increased by 10 percent. What would be the cross- price elastic of demand between Bob’s & Alex’s coffee? What is the relationship between these two goods (are they compliments?)

4) Suppose the current price of oil is $90 a barrel and the quantity supplied is 800 million barrels per day. If the price elasticity of supply for oil in the short run is estimated at 0.5, use the midpoint formula to calculate the percentage change in quantity supplied when the price of oil rises to $98 a barrel.

Tiger Furnishings produces two models of cabinets for home theater components, the Basic and the Dominator. Data on operations and costs for March follow:

Tiger Furnishings’s CFO believes that a two-stage cost allocation system would give managers better cost information. She asks the company’s cost accountant to analyze the accounts and assign overhead costs to two pools: overhead related to direct labor cost and overhead related to machine-hours.

The analysis of overhead accounts by the cost accountant follows:

Required:

b. Compute the product costs per unit assuming that Tiger Furnishings uses direct labor costs and machine-hours to allocate overhead to the products. (Do not round intermediate calculations. Round your final answers to the nearest whole number.)

The Appalachian Bear Center (ABC) is a not-for-profit organization located near the Great Smoky Mountains National Park. ABC’s programs include the rehabilitation of orphaned and injured black bears, as well as research and education about Appalachian black bears. ABC provides the most natural environment possible for rehabilitating black bears before their release back into the wild. Katie Settlage performed a study to learn more about the Appalachian black bear population in the Great Smoky Mountains National Park. She and a team of researchers used a sample of 68 black bears in the park and took measurements such as paw size, weight, and shoulder height.

Answer the following questions based on this data. As always, you must show all work and formulas used in order to receive full credit. Round all decimals to three places unless otherwise noted.

1. In the sample of 68 bears, 40 were males. Construct an 80% confidence interval for the population proportion of bears that are males and write a statement interpreting the interval. (12 points)

Questions 2 and 3 refer to the following information regarding the 28 female bears from the study. For these 28 female bears, the sample mean is 75.679 cm and the sample standard deviation is 7.592 cm. Assume the data is normally distributed and the sample is randomly selected.

2. Use the female sample to make an interval estimate of the mean shoulder height of female bears. Construct the confidence interval estimate using a 95% confidence level and make a statement interpreting this interval.

3. Using a 99% level of confidence, construct the confidence interval for the population standard deviation based on the female data and make a statement interpreting these intervals.

A Bacon Factory is located in a small town. Also in the town is a Water Park. The smell of the Bacon factory has adversely affected the Water Park such that it has put in air cleaning equipment to eradicate the odor created by the factory. Please show your work..

The cost function of the Bacon Factory is:

      C_BF= B² + 4B^1/2 + (1 − x)²

where B denotes the quantity of bacon produced annually and x denotes the quantity of pollutants that A creates in a given year.

Thus, the Bacon Factory can limit production costs by eliminating its air scrubbers. However, the air pollution increases the costs for the water park W, whose cost function is:

      C_WP = W² + 2x,

where W denotes the number of visitors to the Water Park on an annual basis.   Suppose that the unit price of admission to the water park is $3 and that the unit price of bacon is $32.5 per unit.

A. Compute the profit maximizing quantity of the Bacon Factory (B) and pollutant (x) produced by Bacon Factory B (assuming B behaves competitively in the output market, i.e., taking the price of Bacon as $32.50). Also, compute the Bacon Factory’s (Firm B) profits.

B. Compute the profit maximizing visits (represented by W) created by Firm W (assuming W behaves competitively in the output market, i.e., taking the price of visits as given). Notice that W does not choose x. Also, compute W’s profits.

C . Suppose now that the two firms B and W merge, creating B&W. The management of B&W now maximizes B&W’s profits by appropriately choosing x, B, and W. Find the quantities of Bacon, Water Park Visits, and pollutants that the new firm produces. Also, find the profits of B&W.

How can a theme park eliminate waiting in long lines including rides etc. How much will they cost? What resources and expenditures will your solution entail?

Kelly Hayes operates a bed and breakfast hotel in a beach resort area of Noosa. Depreciation on the hotel is $60,000 per year. Kelly employs a maintenance person at an annual salary of $30,000 per year and a cleaning person at an annual salary of $24,000 per year. Rates and taxes are $10,000 per year. The rooms rent at an average price of $50 per person per night including breakfast. Other costs are laundry service at $4.00 per person per night and the cost of food which is $6.00 per person per night.

Instructions:

(a)what are total fixed cost and Variable cost per person per night ?


b)Determine the number of rentals and the sales revenue Kelly needs to break even using the contribution margin technique.

(c) If the current level of rentals is 4,000, by what percentage (Margin of Safety) can rentals decrease before Kelly has to worry about having a net loss?

(d) Kelly is considering upgrading the breakfast service to attract more business and increase prices. This will cost an additional $5.00 for food costs per person per night. Kelly feels she can increase the room rate to $65 per person per night. Determine the number of rentals and the sales revenue Kelly needs to break even if the changes are made.

e) Determine the contribution margin per person per night ?

Bob Tate is the director of strategy for a small truck delivery company. The company operates a fleet of 100 trucks. Of these, 36 trucks will need to be replaced this year. Bob has two choices, either diesel or green trucks. The following are the facts for each possibility:

For EACH diesel truck: Cost = $175K; life, 3 years (the trucks lose value quickly after 3 years of operations as the mileage reaches 200K); salvage value at end of three years, $50K; annual operating costs, $90K.

For EACH green truck: Cost = $220K; life, 4 years; salvage value at end of four years, $100K; annual operating costs, $75K.

Which choice should Bob make, diesel or green if the cost of capital is 10%; you may assume that the time period covered by this decision is 12 years IF you wish, and you can ignore the other 64 of the 100 trucks in the fleet? (Ignore taxes, depreciation, and ignore diversification.)

The Empire Hotel is a full-service hotel in a large city. Empire is organized into three departments that are treated as investment centers. Budget information for the coming year for these three departments is shown as follows. The managers of each of the departments are evaluated and bonuses are awarded each year based on ROI. Empire Hotel

Hotel Rooms Restaurants Health Spa

Average investment $ 8,148,000 $ 4,761,000 $ 1,025,000

Sales revenue $ 10,000,000 $ 2,000,000 $ 600,000

Operating expenses 8,775,000 1,359,000 402,000

Operating earnings $ 1,225,000 $ 641,000 $ 198,000

Required:

a. Compute the ROI for each department. Use the DuPont method to analyze the return on sales and capital turnover. Assume the Health Spa is considering installing new exercise equipment. Upon investigating, the manager of the division finds that the equipment would cost $40,000 and that operating earnings would increase by $8,000 per year as a result of the new equipment.

b-1. What would be the ROI of investment in the new exercise equipment and Health Spa?

b-2. Would the manager of the Health Spa be motivated to undertake such an investment?

c-1. Compute the residual income for each department if the minimum required return for the Empire Hotel is 17 percent.

c-2. What would be the impact of the investment on the Health Spa's residual income?

The Empire Hotel is a full-service hotel in a large city. Empire is organized into three departments that are treated as investment centers. Budget information for the coming year for these three departments is shown as follows. The managers of each of the departments are evaluated and bonuses are awarded each year based on ROI.

Required:

a. Compute the ROI for each department. Use the DuPont method to analyze the return on sales and capital turnover.

Assume the Health Spa is considering installing new exercise equipment. Upon investigating, the manager of the division finds that the equipment would cost $40,000 and that operating earnings would increase by $8,000 per year as a result of the new equipment.

b-1. What would be the ROI of investment in the new exercise equipment and Health Spa?

b-2. Would the manager of the Health Spa be motivated to undertake such an investment?

c-1. Compute the residual income for each department if the minimum required return for the Empire Hotel is 17 percent.

c-2. What would be the impact of the investment on the Health Spa's residual income?

Jill graduates from NTC and finds a job in an Eau Claire, Wisconsin accounting firm. Jill had an apartment near campus while in school. In this move she spends the following amounts:

Cost of moving furniture and household goods $800

Moving Mileage 110

Meals $75

Lodging $85

What is Jill's total qualified moving expenses and how did you compute them?