A firm can manufacture a product according to the production function Q = 2(K)^1/2(L)^1/2 where K represents capital equipment and L is labor. The company has already spent $10,000 on the 4 units capital.

a. Calculate the average product of labor, APL and the marginal product of labor, MPL.

b. If workers at the firm are paid a competitive wage of $100 and the product is sold for $200 each, what is optimal level of labor usage and what is the maximum profit?