Question

A company sells widgets. The amount of profit, y, mar by the company, is related to the selling price of each widget, x, by the given equation. using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-2x^2 + 105x - 859

Answer 1

$522.12

Explanation:

We can find this by x=-b/(2a) where a = -2 and b = 105:

x = -105/(2)(-2)

x= -105/-4

x= 105/4

We put this value of "x" into the original formula to find out the value of "y"

y = -2x^2 + 105x - 859

y = (-2)(105/4)^2 + 105(105/4) - 859

y = -1378.13 + 2756.25 - 859

y = 522.12

Therefore, the maximum profit would be $522.12

Hope this helps!!