The manufacturer of GRIPPER tires modeled its return to sales from television advertising expenditures in two regions, as follows: Region 1:    S1 = 20 + 40x1 − 0.8x12 Region 2:    S2 = 50 + 28x2 − 1.1x22 where S1 and S2 are the sales revenue in millions of dollars and x1 and x2 are millions of dollars of expenditures for television advertising. (Round your answers to three decimal places.) (a) What advertising expenditures would maximize sales revenue in each district? Region 1     $  million Region 2     $  million (b) How much money will be needed to maximize sales revenue in both districts? $  million

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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The manufacturer of GRIPPER tires modeled its return to sales from television advertising expenditures in two regions, as follows:

Region 1:   
S1 = 20 + 40x1 − 0.8x12
Region 2:   
S2 = 50 + 28x2 − 1.1x22

where S1 and S2 are the sales revenue in millions of dollars and x1 and x2 are millions of dollars of expenditures for television advertising. (Round your answers to three decimal places.)

(a) What advertising expenditures would maximize sales revenue in each district?
Region 1     $  million
Region 2     $  million

(b) How much money will be needed to maximize sales revenue in both districts?
$  million
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