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Evaluating Decision-Making Scenarios Using Linear Profit and Cost Modeling

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Vintage Cellars

Vintage Cellars manufactures a 1,000-bottle wine storage system that maintains optimum temperature (55-57 °F) and humidity (50-80%) for aging wines. The system has a backup battery for power failures and can store red and white wines at different temperatures. The following table depicts how average cost varies with the number of units manufactured and sold (per month):

a. Prepare a table that computes the total cost and marginal cost for each quantity between 1 and 10 units.
b. What is the relation between average cost and marginal cost?
c. What is the opportunity cost of producing one more unit if the company is currently producing and selling four units?
d. Vintage Cellars sells the units for $9,000 each. This price does not vary with the number of units sold. How many units should Vintage manufacture and sell each month?

Sunnybrook Farms

Sunnybrook Farms is a local grocery store that is currently open only Monday through Saturday. Sunnybrook is considering opening on Sundays. The annual incremental costs of Sunday openings are estimated at $24,960. Sunnybrook Farms' gross margin on sales is 20%. Sunnybrook estimates that 60% of its potential Sunday sales to customers are now made on other days. What 1-day volume of Sunday sales would be necessary for Sunnybrook Farms to attain the same weekly operating income as in the current 6-day week?

Taylor Chemicals

Taylor Chemicals produces a particular chemical at a fixed cost of $1,000 per day. The following table displays how marginal cost varies with output (in cases):

a. Given the preceding data, construct a table that reports total cost and average cost at various output levels from 1 to 10 cases.
b. At what quantity is average cost minimized?
c. Does marginal cost always intersect average cost at minimum average cost? Why?

Gas Prices

After the Iraqi invasion of Kuwait in August 1990, the world price of crude oil doubled to more than $30 per barrel in anticipation of reduced supply. Immediately, the oil companies raised the retail price on refined oil products even though these products were produced from oil purchased at the earlier, lower prices: The media charged the oil companies with profiteering and price gouging, and politicians promised immediate investigations.

Critically evaluate the charge that the oil companies profited from the Iraqi invasion. What advice would you offer the oil companies?

Penury Company

You are a new consultant with the Boston Group and have been sent to advise the executives of Penury Company. The company recently acquired product line L from an out-of-state concern and now plans to produce it, along with its old standby K, under one roof in a newly renovated facility. Management is quite proud of the acquisition, contending that the larger size and related cost savings will make the company far more profitable. The planned results of a month's operations, based on management's best estimates of the maximum product demanded at today's selling prices are

a. Based on historical operations, K alone incurred fixed expenses of $40,000, and L alone incurred fixed expenses of $20,000. Find the break-even point in sales dollars and units for each product separately.
b. Give reasons why the fixed costs for the two products combined are expected to be less than the sum of the fixed costs of each product line operating as a separate business.
c. Assuming that for each unit of K sold, one unit of L is sold, find the break-even point in sales dollars and units for each product.

Affording a Hybrid

With gasoline prices at $3.00 per gallon, consumers are flocking to purchase hybrid vehicles (combination of gasoline and electric motors) that get 50 miles per gallon of gasoline. The monthly payment on a 3-year lease of a hybrid is $499 compared to $399 per month on a conventional, equivalent traditional gasoline car that gets 25 miles per gallon. Both vehicles require a one-time $1,500 payment for taxes, license, and dealer charges. Both vehicles have identical lease terms for the residual value, maximum number of miles allowed without penalty, and so forth.

a. Calculate how many miles the consumer must drive per year to make the hybrid the economical choice over the conventional gasoline-only vehicle.
b. How does your answer to part (a) change if the price of the gasoline is $4.00 per gallon?

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See Also This Related BrainMass Solution

Evaluating Decision-Making Scenarios Using Linear Profit Modeling

Evaluating Decision-Making Scenarios Using Linear Profit Modeling
Analyze cost behaviors and decision-making scenarios using the linear profit model.

Darien Industries
Darien Industries operates a cafeteria for its employees. The operation of the cafeteria requires fixed costs of $4,700 per month and variable costs of 40 percent of sales. Cafeteria sales are currently averaging $12,000 per month.
Darien has an opportunity to replace the cafeteria with vending machines. Gross customer spending at the vending machines is estimated to be 40 percent greater than current sales because the machines are available at all hours. By replacing the cafeteria with vending machines, Darien would receive 16 percent of the gross customer spending and avoid all cafeteria costs. How much does monthly operating income change if Darien Industries replaces the cafeteria with vending machines?
Silky Smooth Lotions
Silky Smooth lotions come in three sizes: 4, 8, and 12 ounces. The following table summarizes the selling prices and variable costs per case of each lotion size.
Per 4 Ounce 8 Ounce 12 Ounce
Price $36.00 $66.00 $72.00
Variable Cost $13.00 $24.50 $27.00
Fixed costs are $771,000. Current production and sales are 2,000 cases of 4-ounce bottles; 4,000 cases of 8-ounce bottles; and 1,000 cases of 12-ounce bottles, Silky Smooth typically sells the three lotion sizes in fixed proportions as represented by the preceding sales amounts.
How many cases of 4-, 8-, and 12-ounce lotion bottles must be produced and sold for Silky Smooth to break even, assuming that the three sizes are sold in fixed proportions?
J. P. Max Department Stores
J. P. Max is a department store carrying a large and varied stock of merchandise. Management is considering leasing part of its floor space for $72 per square foot per year to an outside jewelry company that would sell merchandise. Two areas currently in use are being considered: home appliances (1,000 square feet) and televisions (1,200 square feet). These departments had annual profits of $64,000 for appliances and $82,000 for televisions after allocated fixed occupancy costs of $7 per square foot were deducted. Allocated fixed occupancy costs include property taxes, mortgage interest, insurance, and exterior maintenance for the department store.
Considering all the relevant factors, which department should be leased and why?
Bidwell Company
Data for the Bidwell Company are as follows

(see attached for better formatting)

Sales (100,000) 1,000,000

Cost Fixed Variable
Raw Material $ 0 $300,000
Direct Labor 0 200,000
Factory Cost 100,000 150,000
Selling and Administrative Cost 110,000 50,000 910,000
Total Cost $210,000 $710,000 $90,000
a. Based on the preceding data, calculate break-even sales in units.
b. If Bidwell Company is subject to an effective income tax rate of 40 percent, calculate the number of units Bidwell would have to sell to earn an after-tax profit of $90,000.
c. If fixed costs increase $31,500 with no other cost or revenue factors changing, calculate the break-even sales in units.

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