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An espresso stand finds that its weekly profit is a function of the price, , it charges per cup. If is in dollars, the weekly profit is il P(x) = −3000x²+6600x - 2088.75 dollars.

An espresso stand finds that its weekly profit is a function of the price, , it charges per cup. If is in dollars, the weekly profit is il P(x) = −3000x²+6600x - 2088.75 dollars.

Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 286E: In the following exercises, solve. Round answers to the nearest tenth. 286. A veterinarian is...
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An espresso stand finds that its weekly profit is a function of the price, , it charges per cup. If is in dollars, the weekly profit is il P(x) = −3000x²+6600x - 2088.75 dollars. (a) What is the maximum weekly profit. $ (Round to the nearest cent and do not include any commas in your answer.) (b) What price per cup that produces that maximum profit? $ (Round to the nearest cent.) (c) Which of the two functions below gives a function that has the same maximum profit? A. P(x - 3) B. P(x) - 3 (d) Based on the function in your answer to (c) above, what price per cup of produces that maximum profit? $ (Round to the nearest cent.) (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 + 60) B. P(x) + 60 (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, , it charges per cup. If is in dollars, the weekly profit is il P(x) = −3000x²+6600x - 2088.75 dollars. (a) What is the maximum weekly profit. $ (Round to the nearest cent and do not include any commas in your answer.) (b) What price per cup that produces that maximum profit? $ (Round to the nearest cent.) (c) Which of the two functions below gives a function that has the same maximum profit? A. P(x - 3) B. P(x) - 3 (d) Based on the function in your answer to (c) above, what price per cup of produces that maximum profit? $ (Round to the nearest cent.) (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 + 60) B. P(x) + 60 (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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