A firm has a production function of Q=K×L+L, where the marginal product of labor is MP L
​ =K+1 and the marginal product of capital is MP K
​ =L. The wage rate (W) is $100 per worker and the rental price (R) is $100 per unit of capital. A. In the short-run, capital (K) is fixed at 4. Find the minimum total cost of production in the short run if the firm produces 100 units of output. B. Find the minimum total cost of production in the long run if the firm produces 100 units of output. C. Suppose that the wage rate increases to $156.25. Does this effect the amount of labor you hire in the short run? What about in the long run? A complete answer will find the total cost of production in both the short- and long-run. It will be easier if you do not round your answer at any point in solving this problem.

Q&A Education