Marginal Cost, Revenus, 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 demanded. p = 6000.09x (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 values. C(x) = 0.000004x³ -0.03x² + 520x + 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'(1,500) = R¹(1,500) = Activate
Marginal Cost, Revenus, 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 demanded. p = 6000.09x (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 values. C(x) = 0.000004x³ -0.03x² + 520x + 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'(1,500) = R¹(1,500) = Activate
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Ex 3.4 Q6
Transcribed Image Text:Marginal Cost, Revenus, 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
demanded.
p = 6000.09x
(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
values.
C(x) = 0.000004x³ -0.03x² + 520x + 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'(1,500) =
R¹(1,500) =
Activate
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