7. A 200-pound steer can be sustained on a diet calling for various proportions of grass and grain. These combinations are shown in the table. Pounds of Grass 50 56 60 68 80 88 Pounds of Grain 80 70 65 60 54 52 a. Plot the isoquant corresponding to the inputs necessary to sustain a 200-pound steer. Comment on its shape. b. The rancher's cost of grass is $.10 per pound; the cost of grain is $.07 per pound. He prefers a feed mix of 68 pounds of grass and 60 pounds of grain. Is this a least-cost mix? If not, what is? Explain. c. The rancher believes there are constant returns to scale in fattening cattle. At current feed prices, what input quantities should he choose if he wants to raise the steer's weight to 250 pounds?

7. A 200-pound steer can be sustained on a diet calling for various proportions of grass and grain. These combinations are shown in the table. Pounds of Grass 50 56 60 68 80 88 Pounds of Grain 80 70 65 60 54 52 a. Plot the isoquant corresponding to the inputs necessary to sustain a 200-pound steer. Comment on its shape. b. The rancher's cost of grass is $.10 per pound; the cost of grain is $.07 per pound. He prefers a feed mix of 68 pounds of grass and 60 pounds of grain. Is this a least-cost mix? If not, what is? Explain. c. The rancher believes there are constant returns to scale in fattening cattle. At current feed prices, what input quantities should he choose if he wants to raise the steer's weight to 250 pounds?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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4. COST RELATIONSHIPS. A firm's total costs can be broken down into fixed costs (e.g., rent) and variable costs (e.g., payroll), so TC = FC + VC. Dividing by quantity converts these to averages, so TC/Q = FC/Q + VC/Q, or ATC = AFC + AVC. The additional cost incurred by producing one additional unit is the marginal cost, so MC = ATC/AQ, where the Greek letter delta (A) means "a change in." Here is a table showing the various costs for a simple firm that sells a product using a building (capital, a fixed input) and workers (labor, a variable input). Assume that the price of labor is 20 and the price of capital is 120. Use these three cost relationships to complete the table. Total Total Average Variable Cost, Сapital, Output, Q Labor, Total Average Fixed Average Total Cost, Marginal Cost, MC Variable K Fixed Cost, TC Cost, Cost, TFC Cost, TVC AVC AFC АТС 1 120 N/A N/A N/A N/A 1 2 1 160 3 1 20 3 6. 1 40
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5. You are economic consultant for Jack, who farms raw cotton in a perfectly competitive market. One day he gives you the following data at his present level of production: Output = 2000 pounds, market price = $5.00, total cost =$8000, fixed cost=$2000, marginal cost-$5. The minimum of AVC occurs at {1000 pounds at $2} and the minimum of ATC at {1500 pounds at $3.5}. Please help Jack with the following questions based on the above figures: a. Draw a graph for the raw cotton market and a graph for Jack's farm current situation that includes MC, ATC, and AVC, labeling all relevant points on axes with numerical values. Is Jack maximizing the profit (minimizing the loss)? Why or why not? Label the total profit/loss area. b. Suppose more farmers enter the raw cotton market until the market price is $3.00 per pound. On the same graphs, show the effect of this change in the market place. Would you like to suggest Jack leaving the market in the short run? Explain your answer.
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