Maximizr the profit function π=80x_2x^2-xy-3y^2+100y subject to x+Y=12 by using lagrange Method?
- VamanLv 77 months ago
f(x)=80x_2x^2-xy-3y^2+100y subject to x+Y=12 by Lagrange method.
g(x,y)=80x-2x^2-xy-3y^2+100y +L( x+Y-12)
L is the Lagrange undetermined multiplier to be determined. Take partial derivative of g wrt x and y and equate them to 0.
wrt x gives
wrt y gives
I am unable to solve it as we do not proper relationship. Is it x+y or xy=12?
- JOHNLv 78 months ago