Question

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