Concept explainers
Matched Problem 1 Repeat Example 1 for the daily cost function
C(x) = −7.5x2 + 305x + 625
EXAMPLE 1 Change in Cost vs Area under Marginal Cost The daily cost function for a company (in dollars) is given by
(A) Graph C(x) for 0 ≤ x ≤ 20, calculate the change in cost from x = 5 to x = 10, and indicate that change in cost on the graph.
(B) Graph the marginal cost function C′(x) for 0 ≤ x ≤ 20, and use geometric formulas (see Appendix C) to calculate the area between C′(x) and the x axis from x = 5 to x = 10.
- (C) Compare the results of the calculations in parts (A) and (B).
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Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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