Suppose the Sunglasses Hut Company has a profit function given by P(q)0.03q² +5q46, where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is thetotal 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 inyour 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:Answer:thousand pairs of sunglasses need to be sold.C) What are the actual maximum profits (in thousands) that can be expected? (If necessary, roundyour answer to three decimal places.)thousand dollars of maximum profits can be expected.

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profit, in thousands of dollars, from selling and producing a pairs of sunglasses. d a simplified expression for the marginal profit function. (Be sure to use the proper variable in answer.) (9) w many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, d your answer to three decimal places.) er: = er: thousand pairs of sunglasses need to be sold. hat are the actual maximum profits (in thousands) that can be expected? (If necessary, round answer to three decimal places.) thousand dollars of maximum profits can be expected.

profit, in thousands of dollars, from selling and producing a pairs of sunglasses. d a simplified expression for the marginal profit function. (Be sure to use the proper variable in answer.) (9) w many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, d your answer to three decimal places.) er: = er: thousand pairs of sunglasses need to be sold. hat are the actual maximum profits (in thousands) that can be expected? (If necessary, round answer to three decimal places.) thousand dollars of maximum profits can be expected.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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