In Exercise, the cost function C and the price-demand function p are given.
(a) Determine the revenue function R.
(b) Determine the profit function P.
(c) Differentiate P in part (b) to get the marginal profit function MP.
(d) Determine the marginal cost function MC and the marginal revenue function MR.
(e) Subtract the solutions found in part (d) to get MR − MC and simplify. Compare with the result of part (c).
C(x) = −0.01x3 + 0.1x2 + 4x + 18; p(x) = −0.6x + 19
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