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An espresso stand finds that its weekly profit is a function the price, x, it charges per cup. If x is in dollars, the weekly profit is P(x) = -3800x² + 10640x-5749.25 dollars. (a) What is the maximum weekly profit. $ (b) What price per cup that produces that maximum profit? $ (Round to the nearest cent and do not include any commas in your answer.) (Round to the nearest cent.) (c) Which of the two functions below gives a function that has the same maximum profit? OA. P(x) - 3 OB. P(x-3)

An espresso stand finds that its weekly profit is a function the price, x, it charges per cup. If x is in dollars, the weekly profit is P(x) = -3800x² + 10640x-5749.25 dollars. (a) What is the maximum weekly profit. $ (b) What price per cup that produces that maximum profit? $ (Round to the nearest cent and do not include any commas in your answer.) (Round to the nearest cent.) (c) Which of the two functions below gives a function that has the same maximum profit? OA. P(x) - 3 OB. P(x-3)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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An espresso stand finds that its weekly profit is a function of the price, x, it charges per cup. If x is in dollars, the weekly profit is P(x) = −3800x² + 10640x – 5749.25 dollars. (a) What is the maximum weekly profit. $ (b) What price per cup that produces that maximum profit? $ (Round to the nearest cent and do not include any commas in your answer.) B. P(x − 3) - (Round to the nearest cent.) (c) Which of the two functions below gives a function that has the same maximum profit? OA. P(x) - 3 (d) Based on the function in your answer to (c) above, what price per cup of produces that maximum profit? $ cent.) (Round to the nearest (e) Which of the two functions below gives gives a function where the price per cup that produces the maximum profit remains unchanged? A. P(x +70) B. P(x) + 70 (f) Based on the function in your answer to (e) above, what is that maximum weekly profit? $ (Round to the nearest cent.)
Transcribed Image Text:An espresso stand finds that its weekly profit is a function of the price, x, it charges per cup. If x is in dollars, the weekly profit is P(x) = −3800x² + 10640x – 5749.25 dollars. (a) What is the maximum weekly profit. $ (b) What price per cup that produces that maximum profit? $ (Round to the nearest cent and do not include any commas in your answer.) B. P(x − 3) - (Round to the nearest cent.) (c) Which of the two functions below gives a function that has the same maximum profit? OA. P(x) - 3 (d) Based on the function in your answer to (c) above, what price per cup of produces that maximum profit? $ cent.) (Round to the nearest (e) Which of the two functions below gives gives a function where the price per cup that produces the maximum profit remains unchanged? A. P(x +70) B. P(x) + 70 (f) Based on the function in your answer to (e) above, what is that maximum weekly profit? $ (Round to the nearest cent.)
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