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. $ 1698.75 answer.) (b) What price per cup that produces that maximum profit? $ 1.39 (Round to the nearest cent and do not include any commas in your (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 OB. P(x - 3) (d) Based on the function in your answer to (c) above, what price per cup of produces that maximum profit? $ the nearest cent.) (Round to (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) OB. P(x) + 70 (f) Based on the function in your answer to (e) above, what is that maximum weekly profit? $ | nearest cent.) (Round to the

College Algebra (MindTap Course List)
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Chapter4: Polynomial And Rational Functions
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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. $ 1698.75
answer.)
(b) What price per cup that produces that maximum profit? $ 1.39
(Round to the nearest cent and do not include any commas in your
(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? $
the nearest cent.)
(Round to
(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? $|
nearest cent.)
(Round to the
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. $ 1698.75 answer.) (b) What price per cup that produces that maximum profit? $ 1.39 (Round to the nearest cent and do not include any commas in your (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? $ the nearest cent.) (Round to (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? $| nearest cent.) (Round to the
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