Suppose that you can schedule a worker up to four hours per day. The benefit function is

Question:

Suppose that you can schedule a worker up to four hours per day. The benefit function is given by B(H) = 500H – 22.5H2 and the cost function is given by C(H) = 100 + 15H2. The corresponding marginal benefit and marginal cost functions are given by MB(H) = 500 – 45H and MC(H) = 100 + 30H. What is the best choice of hours for this worker?