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The cost in dollars of producing x pounds of a chemical in a factory is given by C(x). Suppose that the "marginal cost" is C'(x) = -.05+.001x    ($/pound).

 

A. How much extra does it cost to increase production from 500 pounds to 5000 pounds?

 

 

B. Suppose that the cost of producing 0 pounds of the chemical is $5000. (You need to pay rent even if you close down production). Find the function C(x).

 
 Apr 25, 2016

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