Suppose the Sunglasses Hut Company has a profit function given by P(q) = −0.03q² + 3q – 24, 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) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) Answer: MP(q) - B) 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. C) 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) = −0.03q² + 3q – 24, 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) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) Answer: MP(q) - B) 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. C) 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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text:Suppose the Sunglasses Hut Company has a profit
function given by P(q) = −0.03q² + 3q — 24, 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) Find a simplified expression for the marginal profit
function. (Be sure to use the proper variable in your
answer.)
Answer: MP(q) =
B) 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.
C) 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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