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 Find the marginal revenue function R'. R'(x) = Find the marginal profit function P¹. P'(x) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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
Find the marginal revenue function R'.
R'(x) =
Find the marginal profit function P'.
P'(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 Find the marginal revenue function R'. R'(x) = Find the marginal profit function P'. P'(x) =
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