Question

Suppose that the equation p(x) = -2x^2 + 300x - 850, where x represents the number of items sold, describes the profit function for a certain business. How many items should be sold to maximize the profit?

Answer 1

75 items should be sold to maximize the profit

Answer 2

Right.

Answer 3

p'(x)=-4x+300 then you set it equal to 0 to find maxim slope and you get x is equal to 75

Answer 4

you applied differential equation?? great!!