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The marketing division of a large firm has found that it can model the sales generated by an advertising campaign as S(u) = 0.75/u + 1.7 millions of dollars when the firm invests u thousand dollars in advertising. The firm plans to invest u(x) = -2.8x2 + 52x + 150 thousand dollars each month where x is the number of months after the beginning of the advertising campaign. How quickly will the sales for this firm be changing when x = 18? (Round your answer to three decimal places.) %24 million per month

The marketing division of a large firm has found that it can model the sales generated by an advertising campaign as S(u) = 0.75/u + 1.7 millions of dollars when the firm invests u thousand dollars in advertising. The firm plans to invest u(x) = -2.8x2 + 52x + 150 thousand dollars each month where x is the number of months after the beginning of the advertising campaign. How quickly will the sales for this firm be changing when x = 18? (Round your answer to three decimal places.) %24 million per month

Calculus: Early Transcendentals
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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The marketing division of a large firm has found that it can model the sales generated by an advertising campaign as S(u) = 0.75/u + 1.7 millions of dollars when the firm invests u thousand dollars in advertising. The firm plans to invest u(x) = -2.8x2 + 52x + 150 thousand dollars each month where x is the number of months after the beginning of the advertising campaign. How quickly will the sales for this firm be changing when x = 18? (Round your answer to three decimal places.) %24 million per month
Transcribed Image Text:The marketing division of a large firm has found that it can model the sales generated by an advertising campaign as S(u) = 0.75/u + 1.7 millions of dollars when the firm invests u thousand dollars in advertising. The firm plans to invest u(x) = -2.8x2 + 52x + 150 thousand dollars each month where x is the number of months after the beginning of the advertising campaign. How quickly will the sales for this firm be changing when x = 18? (Round your answer to three decimal places.) %24 million per month
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