Answer by dmtri for Do absolute maxima and minima exist in this question?
I think you are right. Solving the constraints we get: $2xy-48(x+y)+24^2=0$ , which is a hyperbola on the plane $x+y+z=24$. From the first equation we also get $x=\frac{48y-24^2}{2y-48}$, from this we...
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Do absolute maxima and minima exist in this question?
I was solving following question related to lagrange multipliersFind absolute extreme values of $f(x,y,z)=z$ subject to the constraints $x^2+y^2=z^2$ and $x+y+z=24$By the method of lagrange multipliers...
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