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Marginal Profit for Producing Loudspeakers Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturin 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) = 170x + 19,000 and R(x) = -0.04x² + 800x (a) Find the profit function P. P(x) = (b) Find the marginal profit function P'. P'(X) = (c) Compute the following values. P'(3,100) = P'(9,900) =

Marginal Profit for Producing Loudspeakers Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturin 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) = 170x + 19,000 and R(x) = -0.04x² + 800x (a) Find the profit function P. P(x) = (b) Find the marginal profit function P'. P'(X) = (c) Compute the following values. P'(3,100) = P'(9,900) =

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CR: Chapter Review
Problem 16E: Digital cameras A company that produces and sells digital cameras has determined that the total...
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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) = 170x + 19,000 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'(9,900) = =
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) = 170x + 19,000 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'(9,900) = =
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