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) = 130x + 180y − 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 (Please show your answers to at least 4 decimal places): X = y =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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) = 130x + 180y − 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 (Please show your answers to at least 4 decimal places):
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) = 130x + 180y − 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 (Please show your answers to at least 4 decimal places): X = y =
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