A company estimates that it can sell 2,000 units each month of its product if it prices each unit at $65. However, its monthly number of sales will increase by 10 units for each $0.20 decrease in price. The company has fixed costs of $250. The cost to make each unit is $4.40. Find the level of production that maximizes the company's profit. They should produce units at a price of $ which will yield a profit of $

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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A company estimates that it can sell 2,000 units each month of its product if it prices each unit at $65. However,
its monthly number of sales will increase by 10 units for each $0.20 decrease in price. The company has fixed
costs of $250. The cost to make each unit is $4.40. Find the level of production that maximizes the company's
profit.
They should produce
units at a price of $
which will yield a profit of $
Transcribed Image Text:A company estimates that it can sell 2,000 units each month of its product if it prices each unit at $65. However, its monthly number of sales will increase by 10 units for each $0.20 decrease in price. The company has fixed costs of $250. The cost to make each unit is $4.40. Find the level of production that maximizes the company's profit. They should produce units at a price of $ which will yield a profit of $
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