QUESTION 9

A manufacturing company produces two types of surfboards - Standard board and competition board.

The price demand function for the two types of boards are given by the equations

P₁ = 210 - 4x +y

P₂ = 300+x - 12y

p is the price of standard board and p is the price of competition board.

x is the weekly demand of standard board and y is the weekly demand of competition board.

Find the weekly revenue function and evaluate R (50,20)

- R(x,y) = 210x +300y + 2xy −4x² −12y²

R (50,20) = 3700

- R(x,y) = 2x² - 4y² + 3xy -150y + 200x

R (50,20) = 5400

- R(x,y) = 12x = 15y + 4xy − 3x² - 10y ²

R (50,20) = 2500

- R(x,y) = -3y² + 12xy - 150y + 120x + 15x²

R (50,20) = 3450