point) Let C(q)C(q) represent the cost, R(q)R(q) the revenue, and π(q)π(q) the total profit, in dollars, of producing qq items. a) If C′(71)=64C′(71)=64 and R′(71)=71R′(71)=71, approximately how much profit is earned by item number 72? b) If C′(90)=61C′(90)=61 and R′(90)=55R′(90)=55, approximately how much profit is earned by item number 91? NOTE: In this problem, the phrase "earned profit" is used in the sense of "additional profit over and above (or under and below) the profit at its predecessor". One can use the marginal cost and the marginal revenue to estimate how much the profit will change from one item to the next.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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point) Let C(q)C(q) represent the cost, R(q)R(q) the revenue, and π(q)π(q) the total profit, in dollars, of producing qq items.

a) If C′(71)=64C′(71)=64 and R′(71)=71R′(71)=71, approximately how much profit is earned by item number 72?

b) If C′(90)=61C′(90)=61 and R′(90)=55R′(90)=55, approximately how much profit is earned by item number 91?

NOTE: In this problem, the phrase "earned profit" is used in the sense of "additional profit over and above (or under and below) the profit at its predecessor". One can use the marginal cost and the marginal revenue to estimate how much the profit will change from one item to the next.

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