Paola525idn
Answered

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A company sells widgets. The amount of profit, y, made 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 = -8x2 + 242x – 1056

Sagot :

Abidemiokinidn

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

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