HW problem...please help!?

Question

The price-demand and cost functions for the production of microwaves are given as
P=205-x/40

and

C(x)=86000+100x,

where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing x units.


(A) Find the marginal cost as a function of x.
C'(x)=
(B) Find the revenue function in terms of x.
R(x)=
(C)Find the marginal revenue function in terms of x.
R'(x)=

Ok, so for the first one do I do the derivative...which will be just 100?

Not sure, I'm confused!

Answer 1

price P=205-(x/40)
cost C(x)=86000+100x

A) C'(x)=100

B)
R= P*C=(205-X/40)(86000+100X)

C) R'=(-1/40)((86000+100X)+100(205-(x/40))