You've decided to sell sweatshirts for the upcoming game. You project that at a price of $30.05 per sweatshirt, you will be able to sell 150 shirts. In order to sell 290 sweatshirts, you would need to lower the price to $19.83 per sweatshirt. In order to produce the sweatshirts, it costs you $2.37 per sweatshirt on top of fixed costs of $340. What price should you charge in order to earn maximize your profit? Assume linear demand. You should charge a price of $ per sweatshirt in order to maximize your profit.

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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You've decided to sell sweatshirts for the upcoming game. You project that at a price of $30.05 per sweatshirt, you will be able to sell 150 shirts. In order to sell 290
sweatshirts, you would need to lower the price to $19.83 per sweatshirt. In order to produce the sweatshirts, it costs you $2.37 per sweatshirt on top of fixed costs of
$340. What price should you charge in order to earn maximize your profit?
Assume linear demand.
You should charge a price of $
If necessary, round to two decimal places. Do not include units.
per sweatshirt in order to maximize your profit.
Transcribed Image Text:You've decided to sell sweatshirts for the upcoming game. You project that at a price of $30.05 per sweatshirt, you will be able to sell 150 shirts. In order to sell 290 sweatshirts, you would need to lower the price to $19.83 per sweatshirt. In order to produce the sweatshirts, it costs you $2.37 per sweatshirt on top of fixed costs of $340. What price should you charge in order to earn maximize your profit? Assume linear demand. You should charge a price of $ If necessary, round to two decimal places. Do not include units. per sweatshirt in order to maximize your profit.
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