The manufacturer of GRIPPER tres modeled its return to sales from television advertising expenditures in twe regions, as follows Region 11 5, 40+ ,04x, Region 21 5, 10 + 20,-1. where 5, and 5, are the sales revenue in milions of dollars and , and , are malons of dollars of expenditures for television advertising. (Reund your answers to three decmal places) (a) What advertising expenditures would maximize sales revenue in each district? Region 1 Region 2 miion on (b) How much money will be needed to maxime seles revenue in both distriits 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 expendtures in two regions, as follows:
Region 1: S,- 40 + 38x, -0.4x,
Region 21 S,- 10 + 20x, - 1.Lx,
where 5, and S, are the sales revenue in milions of dollars and x, and x, 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
Region 2
millon
mlon
(b) How much money will be needed to mavimize sales revenue in both districts?
million
An inferior product with a large advertising budget sels wel when it is introduced, but sales fal as people discontinue use of the product. Suppose that the weekly sales S are given o
700
where Sis in millions of dollars and tis in weeks. Ater how many weeks wit sales be maximized?
weeks
Transcribed Image Text:The manufacturer of GRIPPER tires modeled its return to sales from television advertising expendtures in two regions, as follows: Region 1: S,- 40 + 38x, -0.4x, Region 21 S,- 10 + 20x, - 1.Lx, where 5, and S, are the sales revenue in milions of dollars and x, and x, 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 Region 2 millon mlon (b) How much money will be needed to mavimize sales revenue in both districts? million An inferior product with a large advertising budget sels wel when it is introduced, but sales fal as people discontinue use of the product. Suppose that the weekly sales S are given o 700 where Sis in millions of dollars and tis in weeks. Ater how many weeks wit sales be maximized? weeks
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