8) A soft-drink vendor at a popular beach analyzes his sale records and finds that if he sells x cans of soda in one day, his profit (in dollars) is give P(x) = -0.001x2+3x-1800. a) How many cans would be sold for his profit to be equal to zero (0)? b) What is his maximum profit per day, and how many cans must he sell for maximum profit?
8) A soft-drink vendor at a popular beach analyzes his sale records and finds that if he sells x cans of soda in one day, his profit (in dollars) is give P(x) = -0.001x2+3x-1800. a) How many cans would be sold for his profit to be equal to zero (0)? b) What is his maximum profit per day, and how many cans must he sell for maximum profit?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8) A soft-drink vendor at a popular beach analyzes his sale records and finds that if he sells x cans of soda in one day, his profit (in dollars) is give P(x) = -0.001x2+3x-1800.
a) How many cans would be sold for his profit to be equal to zero (0)?
b) What is his maximum profit per day, and how many cans must he sell for maximum profit?
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