Is 2500 and 4450 cans are correct A softdrink vendor at a p

* Is $2500, and 4450 cans are correct?

A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x) = -0.001x^2 + 5x - 1800. What is his maximum profit per day? $ How many cans must he sell for maximum profit? cans

Solution

P(x) = -0.001x² + 5x -1800

= -0.001(x - 2500)² + 4450

max. profit = 4450

number of cans = 2500.

(your answers are interchanged)