The cost and revenue for the production of q million barrels of crude oil at a certain company's oil field can be modeled by C(q) = 0.24q3 - 5.1q2 + 40.27q + 0.15 million dollars R(q) = -0.03q3 + 0.52q2 + 41.69q million dollars, where 0 < q < 17.
a. What is the marginal cost of oil production.
b. What is the marginal revenue for oil production.
c. Find the production level that maximizes profit.