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 R ( x , y ) = 110 x + 130 y − 4 x 2 − 3 y 2 − x y Find the marginal revenue equations

Answer 1

Answer: The answer is given below

Explanation:

From the question, we are told that a company manufactures 2 models of MP3 players.

Let x represent the number (in millions) of the first model made,

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) = 110x + 130y − 4x² − 3y² - xy

For us to find the marginal revenue equations, we have to find the partial derivatives of x and y. This will be:

Rx = 110 - 8x - y

Ry = 130 - 6y - x

Therefore, the marginal revenue equations are:

Rx = 110 - 8x - y

Ry = 130 - 6y - x