A soft-drink vendor at a popular beach analyzes his sales records and finds that

User Generated

FBFHER

Mathematics

Description

P(x) = 0.001x2 + 3x − 1800.

What is his maximum profit per day?
 

How many cans must he sell for maximum profit?
 cans

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

The maximum profit will be achieved for x = 3/(2*0.001) = 1500 and equals

P(1500) = -0.001*1500^2 + 3*1500 - 1800 = -2250 + 4500 - 1800 = 450

Answer: $450; 1500 cans.


Anonymous
Really useful study material!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags