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 = −0.061x + 250The weekly total cost incurred by Pulsar for producing x sets is represented by the following equation.C(x) = 0.000008x3 - 0.08x2 + 530x + 80000(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 '(1400)=R '(1400)=P '(1400)= 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 = -0.061x + 250The weekly total cost incurred by Pulsar for producing x sets is represented by the following equation.C(x) = 0.000008x3 - 0.08x2 + 530x + 80000(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 '(1400) =R '(1400) =P '(1400) =

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Answered: Pulsar also manufactures a series of…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.8: Joint And Combined Variation

Problem 11P

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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 = −0.061x + 250

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

C(x) = 0.000008x³ - 0.08x² + 530x + 80000

(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 '(1400)	=
R '(1400)	=
P '(1400)	=

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 = -0.061x + 250
The weekly total cost incurred by Pulsar for producing x sets is represented by the following equation.
C(x) = 0.000008x3 - 0.08x2 + 530x + 80000
(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 '(1400) =
R '(1400) =
P '(1400) =

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