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You have an internship where you are helping track revenue and sales. Suppose that p is the price in dollars of a gadget and q = f(p) is the quantity sold (in hundreds). Then the revenue (in thousands of dollars) is given by R = p f(p), depending on the price. You are given the following: I. f'(15) = 3 III. ƒ-'(60) = 3 R(20) – R(15) 12 5 II. Your fellow intern claims that if f '(p) is negative then the revenue will decrease as well. Explain if this statement is necessarily true or not.

You have an internship where you are helping track revenue and sales. Suppose that p is the price in dollars of a gadget and q = f(p) is the quantity sold (in hundreds). Then the revenue (in thousands of dollars) is given by R = p f(p), depending on the price. You are given the following: I. f'(15) = 3 III. ƒ-'(60) = 3 R(20) – R(15) 12 5 II. Your fellow intern claims that if f '(p) is negative then the revenue will decrease as well. Explain if this statement is necessarily true or not.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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You have an internship where you are helping track revenue and sales. Suppose that p is the price in dollars of a gadget and q = f(p) is the quantity sold (in hundreds). Then the revenue (in thousands of dollars) is given by R =p f(p), depending on the price. You are given the following: R(20) – R(15) I. f'(15) = 3 III. f-1(60) = 3 II. = 12 5 Your fellow intern claims that if f '(p) is negative then the revenue will decrease as well. Explain if this statement is necessarily true or not.
Transcribed Image Text:You have an internship where you are helping track revenue and sales. Suppose that p is the price in dollars of a gadget and q = f(p) is the quantity sold (in hundreds). Then the revenue (in thousands of dollars) is given by R =p f(p), depending on the price. You are given the following: R(20) – R(15) I. f'(15) = 3 III. f-1(60) = 3 II. = 12 5 Your fellow intern claims that if f '(p) is negative then the revenue will decrease as well. Explain if this statement is necessarily true or not.
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