I'm trying to use Sage for optimization using the Lagrange multipliers
method, but it does not solve this apparently simple problem:
var('x y l')
f = x + 2*y
g = 2*x^(1/4)*y^(1/2)
L = f - l * (16 - g)
dfdx = L.diff(x)
dfdy = L.diff(y)
dfdl = L.diff(l)
solve([dfdx == 0, dfdy == 0, dfdl == 0], x,y,l)
First Sage takes a very long time and then it just returns the equations,
not the solutions.
Is this a bug or am I doing something wrong?
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