Pulsar also manufactures a series of 20-in. flat-tube digital televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation.

p = 0.054x + 230

The weekly total cost incurred by Pulsar for producing x sets is represented by the following equation.

C(x) = 0.000009x3 - 0.1x2 + 590x + 74000

(a) Find the revenue function R.

R(x) =

Find the profit function P.

P(x) =

(b) Find the marginal cost function C '.

C '(x) =

Find the marginal revenue function R '.

R '(x) =

Find the marginal profit function P '.

P '(x) =

(c) Compute the following values. (Round your answers to two decimal places.)

C '(2200) =

R '(2200) =

P '(2200) =