Reference: Calculus and Its Applications, 12th, by Marvin L. Bittinger and David Ellenbogen Book

Elementary Applied Calculus

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Links to Book Below:

1. Calculus And Its Applications, Brief Version 12th edition | Print ISBN - 9780135164884, eText ISBN - 9780135225103 | VitalSource

2. Bittinger, Ellenbogen, Surgent & Kramer, Calculus and Its Applications: Brief Version, 12th Edition | Pearson

A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function below, where x is the number of pounds of coffee roasted. Find the total cost of roasting 130 lb of coffee, disregarding any fixed costs. C'(x) = - 0.028x +7.25, for x 200 The total cost is $. (Round to the nearest cent as needed.)A record club has found that the marginal profit, P'(x), in cents, is given by P'(x) = - 0.0008x" + 0.19x~ + 48.4x for x$ 200, where x is the number of members currently enrolled in the club. Approximate the total profit when 120 members are enrolled by computing the sum 12,000-P'(x) = - 0.0008x3 + 0.19x2 + 48.4x _P' (x;) 4x with Ax = 20. i =1 9,600- 7,200- Marginal profit (in cents) 4,800- 2,400- 100 200 Number of members The total profit when 120 members are enrolled is approximately $]. (Round to the nearest cent as needed.)A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon is given by C'(x) = - 0.00002x- - 0.04x + 41 for x$ 700, where C'(x) is in cents. Approximate the total cost of manufacturing 700 yards of ribbon, using 5 subintervals over [0,700] and the left endpoint of each subinterval. The total cost of manufacturing 700 yards of ribbon is approximately $. (Do not round until the final answer. Then round to the nearest cent as needed.)