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If the profit for producing x items can be approximated by the function P(x) = 0.002x^3+100x, determine the marginal profit, in dollars, for 50 units.

 

a) $ 5 250 

b) $250

c) $15 

d) $115

Julius  Mar 30, 2018
 #1
avatar+87639 
+2

The marginal profit is the additional profit made by producing one more unit

 

We can find this by taking the derivative of P(x)  =

 

P' (x)   =  .006x^2  + 100

 

So

 

P(50)  =  .006(50)^2  +  100     =  $115

 

 

cool cool cool

CPhill  Mar 30, 2018

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