Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.03q² + 3q – 35, 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 and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.03q² + 3q – 35, 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.
Transcribed Image Text:Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.03q² + 3q – 35, 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.
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