The production function at Ginko's Copy Shop is q = 1,000 * min( L , 3 K ), 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 = 4 and K = 1, then min( L , 3 K ) = 3, and q = 3,000.

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.