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An agricultural firm has production function-cost to produce
Reference No.:- EM13891923

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An agricultural firm has a production function (products of the whole year) given by q=500sqty(SF) q is output of agricultural products in pounds. S is land area in square feet. F is number of farmers working.

a. Find the best way to produce 5000 pounds of products in a year when farmers’ wage is \$10000 per year and land rental rate is \$100 per square feet per year. What is the total cost to produce?

b. Find the best way to produce 10000 pounds of products in a year when farmers’ wage is \$10000 per year and land rental rate is \$100 per square feet per year. What is the total cost to produce?

c. Find the best way to produce 20000 pounds of products in a year when farmers’ wage is \$10000 per year and land rental rate is \$100 per square feet per year. What is the total cost to produce?

d. Draw the isoquant curves map. Find the best combination of F and S to produce 5000 pounds on the graph. Use horizontal axis for F and vertical axis for S.

e. From parts a, b and c could you find the total cost function? Write down this function.

f. From part e, calculate AC, MC functions. Is the production of this firm constant/increasing/decreasing return to scale?

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