A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the first model made, and le
Posted: Tue May 10, 2022 7:37 pm
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)=60x+140y−2x^2−4y^2−xy
Find the marginal revenue equations
Rx(x,y)R=
Ry(x,y)=
We can achieve maximum revenue when both partial derivatives are
equal to zero. Set Rx=0Rx=0 and Ry=0Ry=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 =
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)=60x+140y−2x^2−4y^2−xy
Find the marginal revenue equations
Rx(x,y)R=
Ry(x,y)=
We can achieve maximum revenue when both partial derivatives are
equal to zero. Set Rx=0Rx=0 and Ry=0Ry=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 =