The manufacturer of GRIPPER tires modeled its return to sales from television advertising expenditures in two regions, as follows: Region 1: S₁ = 50 + 34x₁ -0.8x₁² Region 2: S₂ = 40 + 38x₂ - 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:
2
Region 1: S₁ = 50+ 34x₁ - 0.8x₁²
2
Region 2: S₂ = 40 + 38x₂ - 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
Transcribed Image Text:The manufacturer of GRIPPER tires modeled its return to sales from television advertising expenditures in two regions, as follows: 2 Region 1: S₁ = 50+ 34x₁ - 0.8x₁² 2 Region 2: S₂ = 40 + 38x₂ - 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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