3.4 The production function at Copy Smart copy shop is q = 500 * min(L, 2K), where q is the number of copies per hour, L is the number of workers, and K is the number of copy machines. As an example, if L = 3 and K = 2, then the minimum of L and 2K, min(L, 2K) = 3, and q = 1,500.

a. Draw the isoquants for this production function.

b. Draw the total product, average product, and marginal product of labor curves for this production function for some fixed level of capital.