Marginal Cost, Revenue, and Profit for Producing LED TVS The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. p= 550 0.09x (0 ≤ x ≤ 12,000) The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost (in dollars) incurred in producing x sets. Find the following functions (in dollars) and compute the following values. C(x) = 0.000005x³ -0.03x2 + 380x + 85,000 (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
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 15E
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Marginal Cost, Revenue, and Profit for Producing LED TVS The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit
price in dollars and x denotes the quantity demanded.
p= 550 0.09x (0 ≤ x ≤ 12,000)
The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost (in dollars) incurred in producing x sets. Find the following
functions (in dollars) and compute the following values.
C(x)= 0.000005x³ -0.03x2 + 380x + 85,000
(a) Find the revenue function R.
R(x) =
Find the profit function P.
P(x) =
(b) Find the marginal cost function C'.
C'(x)=
Transcribed Image Text:Marginal Cost, Revenue, and Profit for Producing LED TVS The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. p= 550 0.09x (0 ≤ x ≤ 12,000) The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost (in dollars) incurred in producing x sets. Find the following functions (in dollars) and compute the following values. C(x)= 0.000005x³ -0.03x2 + 380x + 85,000 (a) Find the revenue function R. R(x) = Find the profit function P. P(x) = (b) Find the marginal cost function C'. C'(x)=
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