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tion, where C(x) = 150x + 44,000 and R(x) = -0.04x² + 800x (a) Find the profit function P. P(x) = (b) Find the marginal profit function P'. P'(x) = dion in dollars and denotes the quantity dema (c) Compute the following values. P'(3,100) = P'(9,100)

tion, where C(x) = 150x + 44,000 and R(x) = -0.04x² + 800x (a) Find the profit function P. P(x) = (b) Find the marginal profit function P'. P'(x) = dion in dollars and denotes the quantity dema (c) Compute the following values. P'(3,100) = P'(9,100)

Advanced Engineering Mathematics
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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Question

Ex 3.4 Q5

Marginal Profit for Producing Loudspeakers Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x Electrostat speaker systems in the first year of production will be represented by the following function, where R(x) is the revenue function in dollars and x denotes the quantity demanded. Find the following functions (in dollars) and compute the values (in dollars). C(x) = 150x + 44,000 and R(x) = -0.04x² + 800x (a) Find the profit function P. P(x) = (b) Find the marginal profit function P¹. P'(x) = (c) Compute the following values. P'(3,100) = P'(9,100) =
Transcribed Image Text:Marginal Profit for Producing Loudspeakers Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x Electrostat speaker systems in the first year of production will be represented by the following function, where R(x) is the revenue function in dollars and x denotes the quantity demanded. Find the following functions (in dollars) and compute the values (in dollars). C(x) = 150x + 44,000 and R(x) = -0.04x² + 800x (a) Find the profit function P. P(x) = (b) Find the marginal profit function P¹. P'(x) = (c) Compute the following values. P'(3,100) = P'(9,100) =
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