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A firm estimates that it will sell N thousand units of a product after spending x thousand dollars on advertising, where N(x)=-.03(x-200)² +1200, and the advertising budget is limited to $150,000. Identify the maximum number of units the firm will sell, and the number of dollars that must be spent on advertising to sell that number of units.

A firm estimates that it will sell N thousand units of a product after spending x thousand dollars on advertising, where N(x)=-.03(x-200)² +1200, and the advertising budget is limited to $150,000. Identify the maximum number of units the firm will sell, and the number of dollars that must be spent on advertising to sell that number of units.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section2.4: Solving Equations With The Variable On Each Side
Problem 54PFA
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A firm estimates that it will sell N thousand units of a product after spending x thousand dollars on advertising, where N(x)=-.03(x-200)² +1200, and the advertising budget is limited to $150,000. Identify the maximum number of units the firm will sell, and the number of dollars that must be spent on advertising to sell that number of units.
Transcribed Image Text:A firm estimates that it will sell N thousand units of a product after spending x thousand dollars on advertising, where N(x)=-.03(x-200)² +1200, and the advertising budget is limited to $150,000. Identify the maximum number of units the firm will sell, and the number of dollars that must be spent on advertising to sell that number of units.
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