Suppose the total cost in maunufacturing x units of a certain product is C (x) dollars.

a. What does C'(x) measure? Give units.
b. What can you say about the sign of C'?
c. Given that C'(3000)=11, estimate the additional cost in producing the 3001st unit of the
product.


a. C'(x), measured in dollars per unit, gives the instantaneous rate of changes of the total
manufacturing cost C when x units of a certain product are produced.
b. Positive
c. $11

Mathematics

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