13. A soft drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans of soda in one day, his profit in dollars is given by the function: P(x) = -0.001x² + 3x- 1800 a) What is the maximum profit per day? b) How many cans must you sold for maximum profit? c) Will the profit ever equal zero? If so, state the condition when this would occur.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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13. A soft drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans of soda in
one day, his profit in dollars is given by the function:
P(x) = -0.001x2 + 3x- 1800
a) What is the maximum profit per day?
b) How many cans must you sold for maximum profit?
c) Will the profit ever equal zero? If so, state the condition when this would occur.
Transcribed Image Text:13. A soft drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans of soda in one day, his profit in dollars is given by the function: P(x) = -0.001x2 + 3x- 1800 a) What is the maximum profit per day? b) How many cans must you sold for maximum profit? c) Will the profit ever equal zero? If so, state the condition when this would occur.
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