company manufactures a series of 20-in. flat-tube LCDtelevisions. The quantity x of these sets demanded each week isrelated to the wholesale unit price p by the followingequation.
p = −0.007x + 190
The weekly total cost (in dollars) incurred by Pulsar forproducing x sets is represented by the following equation. Find thefollowing functions (in dollars) and compute the followingvalues.
C(x) = 0.000004x3 − 0.02x2 + 150x + 65,000
(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'(2,500) =
R'(2,500) =
P'(2,500) =
(d)
Sketch C(x).
2. Average Cost for Producing Microwaves Let the total costfunction C(x) be defined as follows.
C(x) = 0.0003x3 − 0.02x2 + 114x + 4,300
Find the average cost function C.
C(x) =
Find the marginal average cost function C '.
C '(x) =
