A company manufactures and sells x monitors each hour. The hourly price and cost equations are: p=500-0.8x C (x) = 4x+6000 a. Given that R (x) = xp, find the revenue function, R (x)

Question

Mathematics

Leonardo Ross

7 October, 10:13

A company manufactures and sells x monitors each hour. The hourly price and cost equations are: p=500-0.8x C (x) = 4x+6000 a. Given that R (x) = xp, find the revenue function, R (x)

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Answers (1)

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London Bass · Answer 1

The revenue function is given as

R (x) = 500x - 0.8x²

Step-by-step explanation:

Given the Price equation

P = 500 - 0.8x

and the Cost equation

C (x) = 4x + 6000

The revenue function is given as

R (x) = xP

But P = 500 - 0.8x

So

R (x) = x (500 - 0.8x)

= 500*x - 0.8x*x

= 500x - 0.8x²

R (x) = 500x - 0.8x²