A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the first model made, and let y represent the number (in millions) of the second model made. The company's revenue can be modeled by the equation R(x, y) = 80x + 120y - 2x² - 3y² - xy Find the marginal revenue equations R(x, y) = Ry(x, y) = We can acheive maximum revenue when both partial derivatives are equal to zero. Set R = 0 and Ry = 0 and solve as a system of equations to the find the production levels that will maximize revenue. Revenue will be maximized when: X = y =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the
first model made, and let y represent the number (in millions) of the second model made.
The company's revenue can be modeled by the equation
R(x, y) = 80x + 120y − 2x² − 3y² – xy
Find the marginal revenue equations
R₂(x, y) =
Ry(x, y) =
We can acheive maximum revenue when both partial derivatives are equal to zero. Set R₂ = 0 and
Ry = 0 and solve as a system of equations to the find the production levels that will maximize
revenue.
Revenue will be maximized when:
X =
y =
Transcribed Image Text:A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the first model made, and let y represent the number (in millions) of the second model made. The company's revenue can be modeled by the equation R(x, y) = 80x + 120y − 2x² − 3y² – xy Find the marginal revenue equations R₂(x, y) = Ry(x, y) = We can acheive maximum revenue when both partial derivatives are equal to zero. Set R₂ = 0 and Ry = 0 and solve as a system of equations to the find the production levels that will maximize revenue. Revenue will be maximized when: X = y =
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