Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity of these sets demanded each week following equation. P-0.005x + 170 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) = 0.000004x³ -0.01x² +130x + 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 two decimal places.) C(1,500)= R'(1,500)= P'(1,500)= related the wholesale unit price p by the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Ex 3.4 Q7

Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity of these sets demanded each week is related to the wholesale unit price p by the
following equation.
P = -0.005x + 170
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) = 0.000004x³ -0.01x² +130x + 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 two decimal places.)
C'(1,500) =
R'(1,500) =
P'(1,500) =
Transcribed Image Text:Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity of these sets demanded each week is related to the wholesale unit price p by the following equation. P = -0.005x + 170 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) = 0.000004x³ -0.01x² +130x + 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 two decimal places.) C'(1,500) = R'(1,500) = P'(1,500) =
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