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 2 R(x, y) = 110x + 160y-3x² - 2y – xy 110x+160y3x1 2y² - 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 R = 0 and Ry = 0 and solve as a system of equations to the find the production levels that will maximize revenue. I Revenue will be maximized when: X = y =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
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
2
R(x, y) = 110x + 160y-3x² - 2y – xy
110x+160y3x1 2y² -
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 R = 0 and
Ry = 0 and solve as a system of equations to the find the production levels that will maximize revenue.
I
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 2 R(x, y) = 110x + 160y-3x² - 2y – xy 110x+160y3x1 2y² - 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 R = 0 and Ry = 0 and solve as a system of equations to the find the production levels that will maximize revenue. I Revenue will be maximized when: X = y =
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