Question

A company sells widgets. The amount of profit, y, made by the company, isrelated to the selling price of each widget, x, by the given equation. Using thisequation, find out the maximum amount of profit the company can make, tothe nearest dollar.y =-29x^2+ 1388x – 10040

Answer 1

Answer:

Explanations:

The amount of profit made = y

The selling price of each widget = x

The equation representing the relationship between x and y is:

`y=-29x^2+1388x-10040`

Find dy/dt

`(dy)/(dx)=\text{ -58x + 1388}`

Find the value of x at which dy/dx = 0

0 = -58x + 1388

58x = 1388

x = 1388/58

x = 23.93

Substitute x = 23.93 into the equation given: