Constraint of x+y = 15. Can someone check to see if i am doing this correctly. I keep coming up with the wrong answer. I have gone wrong somewhere in here but can't figure out where.
Follow Math Help Forum on Facebook and Google+
Originally Posted by el123 Constraint of x+y = 15. Can someone check to see if i am doing this correctly. I keep coming up with the wrong answer. I have gone wrong somewhere in here but can't figure out where. I assume you're talking about Lagrange multipliers. Set f(x, y) = 36x - 2x^2 + 48y - 3y^2, g(x, y) = x + y. Taking grad(f) = lambda*grad(g), we have 36 - 4x = lambda, 48 - 6y = lambda, x + y = 15. Solve this system of equations.
View Tag Cloud