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 :
[tex]y = -4x^2 + 183x- 1247[/tex] ...(1)
We need to find out the maximum amount of profit the company can make.
For maximum profit put dy/dx = 0
So,
[tex]\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87[/tex]
Put x = 22.87 in equation (1). So,
[tex]y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06[/tex]
So, the maximum profit is 846.06 units.
