Find the marginal profit function if cost and revenue are given by C(x) = 290 +0.9x and R(x) = 3x -0.09x P'(x) =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Find the marginal profit function if cost and revenue are given by C(x) = 290 +0.9x and R(x) = 3x -0.09x².
P'(x) =
Transcribed Image Text:Find the marginal profit function if cost and revenue are given by C(x) = 290 +0.9x and R(x) = 3x -0.09x². P'(x) =
Expert Solution
Step 1

The cost function is given by C(x)=290+0.9x

The revenue function is given by R(x)=3x-0.09x2.

The formula for calculating the marginal profit function is given by P(x)=R(x)-C(x).

So, P(x)=3x-0.09x2-(290+0.9x)=-0.09x2+2.1x-290.

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