Answer:
774 dollars
Step-by-step explanation:
Given the amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation
y = -8x^2 + 242x – 1056
The company made her maximum profit when dy/dx = 0
dy/dx = -16x + 242
0 = -16x + 242
16x = 242
x = 242/16
x = 15.125
Get the maximum amount of the profit
Substituting x = 15.125 into the function we have:
y = -8(15.125)^2 + 242(15.125) – 1056
y = -8(228.77)+3,660.25-1056
y = -1,830.09+3,660.25-1056
y = 773.91
Hence the maximum amount of profit the company can make, to the nearest dollar is 774 dollars
