2. Suppose a company produces a commodity X using an input L. The production function is X =

100L – L2.

(a.) Find what level of L maximizes production output, X.

(b.) What levels of L generate an output of X = 0? (there are two different L values)

(c.) Plot the production function

(d.) Find the marginal product of labor (MPL).

MPL=100-2L

(e.) For what values of L is the MPL increasing and decreasing?