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Consider a box with width W, length L, and height H. Suppose you have to construct a box with the following constraint: W+L+H equal or less than 30.
a) Suppose W has to be 12. What is maximizing volume of box? What should L and H be?
b) Suppose W has to be some number x element of set (0,30). In order maximize volume of the box, what should L and H be?
c) Using answers from part B, in order to maximize the box what is the W, L, H?
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