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* Evaluate the marginal profit at the following values:(A) P'(150) =(B) P'(300) =

Evaluate The Marginal Profit At The Following ValuesA P150 B P300 class=

Answer :

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

P(x) = 40x - 0.9x² - 420

Step 02:

marginal profit:

P(x) = 40x - 0.9x² - 420

P'(x) = 40 - (0.9)(2)x

P'(x) = 40 - 1.8x

if x = 150:

P'(150) = 40 - 1.8(150) = - 230

if x = 300:

P'(300) = 40 - 1.8(300) = - 500

The answer is:

P'(150) = - 230

P'(300) = - 500

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