Question

A company sells widgets. The amount of profit, y, made by the

Answer 1

Answer:

846.06 units

Step-by-step explanation:

The amount of profit, y, made by the  company, is related to the selling price of each widget, x, by the given  equation as follows :

$y = -4x^2 + 183x- 1247$ ...(1)

We need to find out the maximum amount of profit  the company can make.

For maximum profit put dy/dx = 0

So,

$\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87$

Put x = 22.87 in equation (1). So,

$y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06$

So, the maximum profit is 846.06 units.