Marginal Cost, Revenus, and Profit for Producing LCD TVsA company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation.p = −0.007x + 190The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values.C(x) = 0.000001x3 − 0.01x2 + 140x + 75,000(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 two decimal places.)C'(1,000) =R'(1,000) =P'(1,000) = Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is relatedto the wholesale unit price p by the following equation.p = -0.007x + 190The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values.C(x) = 0.000001x³ – 0.01x² + 140x + 75,000%3D(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) =%D(c) Compute the following values. (Round your answers to two decimal places.)C'(1,000)R'(1,000)P'(1,000)

the demand function is the revenue function is given by

Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation. p = -0.007x + 190 The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values. C(x) = 0.000001x3 - 0.01x? + 140x + 75.000 (a) Find the revenue function R. R(x) = Find the profit function P. P(x) = (b) Find the marginal cost function C'. C'(x) =

Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation. p = -0.007x + 190 The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values. C(x) = 0.000001x3 - 0.01x? + 140x + 75.000 (a) Find the revenue function R. R(x) = Find the profit function P. P(x) = (b) Find the marginal cost function C'. C'(x) =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Marginal Cost, Revenus, and Profit for Producing LCD TVs

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

p = −0.007x + 190

The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values.

C(x) = 0.000001x³ − 0.01x² + 140x + 75,000

(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 two decimal places.)

C'(1,000) =R'(1,000) =P'(1,000) =

Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is related
to the wholesale unit price p by the following equation.
p = -0.007x + 190
The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values.
C(x) = 0.000001x³ – 0.01x² + 140x + 75,000
%3D
(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) =
%D
(c) Compute the following values. (Round your answers to two decimal places.)
C'(1,000)
R'(1,000)
P'(1,000)

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