Business: Marginal Profit (95 continued) Using a graphing calculator, graph the profit f...

Business: Marginal Profit (95 continued) Using a graphing calculator, graph the profit function from Exercise 95 on the window [0, 10] by [0, 30].

a. Evaluate the profit function at 4, 5, and 6 and calculate the following actual costs:

P(5) - P(4) (actual cost of the fifth ton)

P(6) - P(5) (actual cost of the sixth ton) Compare these results with the “instantaneous” marginal profit at x = 5 found in Exercise 95

b. Define another function to be the derivative of the previously entered profit function (using NDERIV) and graph both together. Find (to the nearest tenth of a unit) the x-value where the marginal profit reaches 4.

REF PRB:

Business: Marginal Profit A company’s profit from producing x tons of polyurethane is thousand dollars (for 0 ≤ x ≤ 10). Find and interpret your answer.