Question: 1. The Extreme Value Theorem, while helpful, is very limited in scope. How do you handle optimization situa- tions where the domain isn't compact? There

1. The Extreme Value Theorem, while helpful, is very limited in scope. How do you handle optimization situa- tions where the domain isn't compact? There are many situations where the domain of f is non-compact but we can guarantee the existence of a maximum or a minimum. In this question, you will see what happens if f blows up to oo as you approach the boundary of the domain. (la) Let A C R" such that A * O and let & : A - (0, co). Prove that A \\ (UasaA BE(a)(a)) is closed

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