(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: Obtain the value of R ( t ) at t = 0 as follows. R ( 0 ) = 3 + 2 cos π ( 0 ) 6 = 3 + 2 cos 0 = 3 + 2 = 5 Obtain the value of R ( t ) at t = 2 as follows. R ( 2 ) = 3 + 2 cos π ( 2 ) 6 = 3 + 2 cos π 3 = 3 + 2 ( 1 2 ) = 4 Obtain the value of R ( t ) at t = 3 as follows (B) To determine To find: The values of R ( 1 ) and R ( 22 ) with the use of a calculator and to interpret the results.

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134668574

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Chapter 8, Problem 33RE

(A)

To determine

To find: The exact values of R(0),R(2),R(3) and R(6).

(B)

To determine

To find: The values of R(1) and R(22) with the use of a calculator and to interpret the results.

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Chapter 8, Problem 32RE

Chapter 8, Problem 34RE

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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

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The exact values of R ( 0 ) , R ( 2 ) , R ( 3 ) and R ( 6 ) .

Solution Summary: The author explains that the exact values of R(0),R (2 )andr tle 24 are 5,000, 4,000, and 1,000 respectively.