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(1, y) = 130z + 90y – 2a2 – 3y? – zy Find the marginal revenue equations R,(r, y) = Ry(z, y) = We can achieve 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. Rounded to 2 decimal places, the revenue will be maximized when:

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(z, y) = 130z + 90y – 2z? – 3y? – zy
Find the marginal revenue equations
R2(1, y) =|
R(1, y) =
We can achieve 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.
Rounded to 2 decimal places, the revenue will be maximized when:
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(z, y) = 130z + 90y – 2z? – 3y? – zy Find the marginal revenue equations R2(1, y) =| R(1, y) = We can achieve 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. Rounded to 2 decimal places, the revenue will be maximized when:
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