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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) = 190x + 37,000 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'(4,000) = P'(9,900) =

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) = 190x + 37,000 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'(4,000) = P'(9,900) =

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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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) = 190x + 37,000 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'(4,000) = 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) = 190x + 37,000 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'(4,000) = P'(9,900) =
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