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) 50x + 120y – 4x² – 2y² – 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 O 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 91E
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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)
50x + 120y – 4x² – 2y? – xy
-
Find the marginal revenue equations
R,(x, y) =
R,(r, y) =
We can acheive maximum revenue when both
partial derivatives are equal to zero. Set Rx
and Ry
O 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) 50x + 120y – 4x² – 2y? – xy - Find the marginal revenue equations R,(x, y) = R,(r, y) = We can acheive maximum revenue when both partial derivatives are equal to zero. Set Rx and Ry O 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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