Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.01q² +3q - 20, where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, from selling and producing a pairs of sunglasses. A) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your answer to three decimal places.) Answer: thousand pairs of sunglasses need to be sold. B) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.) Answer: thousand dollars of maximum profits can be expected. Submit Question

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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Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.01q² +3q - 20, where
q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in
thousands of dollars, from selling and producing g pairs of sunglasses.
A) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your
answer to three decimal places.)
Answer:
thousand pairs of sunglasses need to be sold.
B) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your
answer to three decimal places.)
Answer:
thousand dollars of maximum profits can be expected.
Submit Question
Transcribed Image Text:Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.01q² +3q - 20, where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, from selling and producing g pairs of sunglasses. A) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your answer to three decimal places.) Answer: thousand pairs of sunglasses need to be sold. B) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.) Answer: thousand dollars of maximum profits can be expected. Submit Question
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