paola525
Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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 :

abidemiokin

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

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.