Problem 2. The total production P of a certain product depends on the amount of labor L and the amount of invested capit
Posted: Thu May 12, 2022 2:06 pm
Problem 2. The total production P of a certain product depends on the amount of labor L and the amount of invested capital K. We assume that it follows the Cobb-Douglas model given by P=bL Kl- -a = 7 where b > 0 and 0 < a < 1 are given constants. We assume that the cost of a unit of labor is m and the cost of a unit of capital is r. (a) We assume that the company can spend at most S dollars. Find the maximum total production that the company can reach? (b) We assume that the total production is fixed at Po. What is the minimum cost of production?