Suppose that the equation p ( x ) = $-$ 5 x 2 + 600 x $-$ 4,705, 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?
A) 600 items
B) 40 items
C) 60 items

Question

Quizplus · Accepted Answer

To maximize profit, we need to find the vertex of the parabola represented by p(x). The x-coordinate of the vertex can be found using the formula x = -b/2a, where a = -5 and b = 600.

x = -600/(2*(-5)) = 60

Therefore, the business should sell 60 items to maximize profit.

Suppose That the Equation P ( X ) = −-− 5 X 2 + 600 X

Suppose That the Equation P ( X ) = $-$ 5 X 2 + 600 X