Maximizing a Function given a Constraint
Maximize f(x,y) = sqrt(6- x^2 - y^2) given the constraint x+y-2=0.
© BrainMass Inc. brainmass.com March 4, 2021, 5:58 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/maximizing-function-constraint-20860
Solution Preview
We can write the above question into Lagrangian Equation:
L = (6 - x^2 - y^2)^0.5 - m*(x+y-2)
Where "^" means "to the power of", and m is Lagrangian ...
Solution Summary
A function is maximized given a constraint. The square root constraints are determined.
$2.19