Interview Question: Corners

Sample Question #291 (math case question – optimization)
 
I see you are an expert in optimization. Now, tell me, why is that when I optimize with constraints, I often get corner solutions? How should I handle such solution?
 
[This is a case question so the interviewer leaves you much room to discuss the topic; however, it’s very easy to tell if you’re BS’ing or you actually know your stuff]
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