Question: The waste hauling company profits are stated as the difference between revenue and costs. That is P(x) = R(x) – C(x), where x is the number of tons processed. Find the maximum profit and the number of tonnage which must be processed in order to yield the maximum profit for each of the following:

a) R(x) = 5x; C(x) = 0.0001x² + 1.2x + 60.

b) R(x) = 50x – 0.5x²; C(x) = 10x + 3.

c) R(x) = 20x – 0.1x²; C(x) = 4x +2.