(A) Explanation Given: The revenue from the sales of sportswear in a store is given in the form of a function as R ( t ) = 3 + 2 cos π t 6 , 0 ≤ t ≤ 24 where R ( t ) is the revenue function that gives the revenue for the sales in t months after 1st January. Calculation: The rate of change of revenue is the derivative of R ( t ) which is obtained as follows. R ′ ( t ) = ( 3 + 2 cos π t 6 ) ′ < (B) To determine To find: The rate of change of revenue 3 months after 1st January, 10 months after 1st January, and 18 months after 1st January. (C) To determine To find: The local maxima and local minima for 0 < t < 24 . (D) To determine To find: The absolute maximum and absolute minimum for 0 ≤ t ≤ 24 .

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

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Chapter 8, Problem 34RE

(A)

To determine

To find: The rate of change of revenue t months after 1st January.

(B)

To determine

To find: The rate of change of revenue 3 months after 1st January, 10 months after 1st January, and 18 months after 1st January.

(C)

To determine

To find: The local maxima and local minima for 0<t<24.

(D)

To determine

To find: The absolute maximum and absolute minimum for 0≤t≤24.

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Chapter 8, Problem 33RE

Chapter 8, Problem 35RE

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Chapter 8 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

Ch. 8.1 - Find the degree measure of 1 rad.Ch. 8.1 - Without using a calculator, find: (A)cot 45 (B)cos...Ch. 8.1 - Solve the right triangle in Figure 14. Round side...Ch. 8.1 - Solve the right triangle in Figure 16. Round...Ch. 8.1 - Repeat Example 5 assuming that the man is standing...Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...

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The rate of change of revenue t months after 1st January.

Solution Summary: The author explains how the rate of change of revenue is the derivative of R(t) which is obtained as follows.

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To find: The rate of change of revenue t months after 1st January.

To find: The rate of change of revenue 3 months after 1st January, 10 months after 1st January, and 18 months after 1st January.

To find: The local maxima and local minima for 0<t<24.

To find: The absolute maximum and absolute minimum for 0≤t≤24.

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Chapter 8 Solutions