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Question 1 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 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.

Question 1 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 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.

Algebra & Trigonometry with Analytic Geometry
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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Question 1 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 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: B) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.) Answer: Question 2 Submit Question Jump to Answer thousand pairs of sunglasses need to be sold. Sterling wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Sterling has 850 feet of fencing, find the dimensions that maximize the area of the enclosure. W = thousand dollars of maximum profits can be expected. a) Let w be the width of the enclosure (perpendicular to the barn) and let I be the length of the enclosure (parallel to the barn). Write an function for the area A of the enclosure in terms of w. (HINT first write two equations with w and I and A. Solve for I in one equation and substitute for I in the other). A(w) b) What width w would maximize the area? ft c) What is the maximum area? A = Question Help: Video square feet Submit Question Jump to Answer
Transcribed Image Text:Question 1 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 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: B) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.) Answer: Question 2 Submit Question Jump to Answer thousand pairs of sunglasses need to be sold. Sterling wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Sterling has 850 feet of fencing, find the dimensions that maximize the area of the enclosure. W = thousand dollars of maximum profits can be expected. a) Let w be the width of the enclosure (perpendicular to the barn) and let I be the length of the enclosure (parallel to the barn). Write an function for the area A of the enclosure in terms of w. (HINT first write two equations with w and I and A. Solve for I in one equation and substitute for I in the other). A(w) b) What width w would maximize the area? ft c) What is the maximum area? A = Question Help: Video square feet Submit Question Jump to Answer
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