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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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