Minimizing Marginal Cost

[akyra15]

The marginal cost C (in dollars) of manufacturing x cell phones (in thousands) is given by
C(x) = 5x2 – 200x + 4000.
(a) How many cell phones should be manufactured to minimize the marginal cost?
(b) What is the minimum marginal cost?






Minimizing Marginal Cost The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50th product is $6.20, it cost $6.20 to increase production from 49 to 50 units of output. Suppose the marginal cost C (in dollars) to produce x thousand mp3 players is given by the function
C(x) = x2 – 140x + 7400)

 

[srmichael]

Show us what you have done so far? Can't help you until we see where you are stuck.

One hint: Do you recognize that this is a parabola opening upward?

Thanks

 

[mmm4444bot]

Do you understand the given information? If there are some words or symbols that you do not understand, you should ask specific questions.

We could certainly post a step-by-step example using a similar exercise, but, you've seen examples before, so such a post might not help you.

It's simply easier for you to tell us where you're hung up and let us answer your specific questions.