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I am working on some business calculus problems, the first one is regarding diminishing returns and the second one is minimizing total storage and minimizing

I am working on some business calculus problems, the first one is regarding diminishing returns and the second one is minimizing total storage and minimizing costs.

I have the answer that my teacher provided; however, I am unsure of any of the steps. Can you please help me understand. Thank you.

I have attached both the question and the problem in an image.

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