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?

Name: 8) A soft-drink vendor at a popular beach analyzes his sale records an
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Description: 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)

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Answered: 8) A soft-drink vendor at a popular…

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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