Direction: solve each word problem involving optimization. Make a sketch of your work if
necessary, and then apply differentiation.
1. A three-sided fence is to be built next to a straight section of a river, which forms
the fourth side of the rectangular region. The enclosed area is equal to 1800 square
feet. Find the maximum perimeter and the dimension of the corresponding
enclosure.
2. A box with no top will be built by taking a 12 inch × 16 inch sheet of cardboard
and cutting it into x number of pieces (in square inches) out of each corner and
folding up the sides. Find the value of x that maximize the volume of the box.
PLEASE ANSWER MY QUESTION QUICKLY !!!
DEADLINE : 04/29/2022 11 : 00 PM
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