The quantity of Sicard wristwatches demanded each month is relatedto the unit price by the following equation, where p is measured indollars and x in units of a thousand.

p= (44)/(.02x^2+1)

(a) Find the revenue function R.
R(x) =

(b) Find the marginal revenue function R'.
R'(x) =

(c) Compute the following value. (Round your answer to threedecimal places.)
R'(6) =

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18 Dec 2022

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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)	=

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