Sunday, July 12, 2009

C(x) = 95x + 220000?

A Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive model is represented by the following function.


C(x) = 95x + 220000


C(x) is dollars per year.


(a) Find the average cost function C.


C(x) =





(b) Find the marginal average cost function C'.


C'(x) =





(c) What happens to C(x) when x is very large?





C(x) =

C(x) = 95x + 220000?
(a) Find the average cost function C.


AC(x) =C(x)/x = 95x + 220000/x = 95 + 220000/x





(b) Find the marginal average cost function C'.


C'(x) = 95





(c) What happens to C(x) when x is very large?





Cost will increase accordingly

nil

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