Find absolute extrema on closed regions (using the u’s)? A shipping company hand

Question

Find absolute extrema on closed regions (using the u’s)?

A shipping company handles rectangular boxes provided the sum of the height and the girth does not exceed 96 inches. ( Girth is the perimeter of the base). Find the dimensions of the box of largest volume that the company will ship.

This is my work. Let me know if i did it right or if not, what i did wrong. Thanks a lot for your help!!!

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Explanation / Answer

above question is true

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