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**Final Exam / Re: Alternative solution to the optimization in Problem 2 on the practice final**

« **on:**April 25, 2022, 07:51:30 AM »

Yes, it can be solved using Lagrange multiplies. However note, if restrictions are $g_1\le 0$, $g_2\le 0$, $g_3\le 0$ you need to consider

No, you need not consider quadratic forms after you found all suspicious points. It would serve no purpose.

- $g_1=0$ (and $g_2\le 0, g_3\le 0)$); there will be
**only one**Lagrange multiplier at $g_1$. Two other cases in the similar way - $g_1=g_2=0$ (and $ g_3\le 0)$); there will be
**two**Lagrange multipliers. Two other cases in the similar way

No, you need not consider quadratic forms after you found all suspicious points. It would serve no purpose.