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The cost function C and the price-demand function p are given. Assume that the value of...

The cost function C and the price-demand function p are given. Assume that the value of

C(x)

and

p(x)

are in dollars. Complete the following.

C(x) =

x2
100

+ 7x + 3000; p(x) = −

x
40

+ 5

(a) Determine the revenue function R and the profit function P.

R(x) =
P(x) =

(b) Determine the marginal cost function MC and the marginal profit function MP.

MC(x) =
MP(x) =

Here is a picture of the problem:

https://gyazo.com/b194ec1a9b7787b8b81ad12388ff915e

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