Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.03g2 + 6q- 21 ,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 q 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.
Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.03g2 + 6q- 21 ,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 q 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.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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Transcribed Image Text:Suppose the Sunglasses Hut Company has a profit function given by P(q) = - 0.03q2 + 6q - 21
where q is the number of thousands of pairs of sunglasses sold and produced, and P(a) is the
total profit, in thousands of dollars, from selling and producing q pairs of sunglasses.
%3D
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.
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