Question

Pulsar also manufactures a series of 20-in. flat-tube digitaltelevisions. The quantity x of these sets demanded each week is related to the wholesale unitprice pbythe following equation.

p = -0.064x + 240

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

C(x) = 0.000002x³ -0.08x² + 530x + 85000

(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 twodecimal places.)

C '(2500)	=
R '(2500)	=
P '(2500)	=

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 pby the following equation. rho = -0.064x + 240 The weekly total cost incurred by Pulsar for producing x sets is represented by the following equation. C(x) = 0.000002x3 - 0.08x2 + 530x + 85000 Find the revenue function R. Find the profit function P. P(x) =Find the marginal cost function C '. C '(x) = Find the marginal revenue function R '. R '(x) = Find the marginal profit function P '. P '(x) = Compute the following values. (Round your answers to two decimal places.)