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san4es73 [151]
2 years ago
8

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

Mathematics
1 answer:
vfiekz [6]2 years ago
4 0

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.

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Answer:

Step-by-step explanation:

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