SOLUTION: The weekly total profit of a comic book at Bukit Kuantan is P(x) = 150 x - x² . Find the marginal profit function, P’(x) and the marginal profit when x = 10

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Question 1102332: The weekly total profit of a comic book at Bukit Kuantan is P(x) = 150 x - x² . Find the marginal profit function, P’(x) and the marginal profit when x = 10

Answer by Lightning_Fast(78)   (Show Source): You can put this solution on YOUR website!
Well the marginal profit function is a derivative of the P(x). So, first take the derivative of the P(x) to obtain P'(x).
Let P'(x) = D(x) (because for some reason the equation editor won't let me work with apostrophes)
Thus,
Now you want to find the marginal profit when x = 10. To do this, plug in x =10 to the function that just got differentiated.

Simplify and obtain

130 is your final answer, the marginal profit.

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