Find the dimensions of the largest acceptable box

Find the dimensions of the largest acceptable box

Mathematics

Find the dimensions of the largest acceptable box

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You need to ship a box across the country. The package delivery company you
wish to use will accept a box for shipment only if the sum of the length and
girth (distance around) is at most 216 inches. Find the dimensions of the
largest acceptable box with square front and back. (Let x be the measurement
of one side of the square front. Let y be the length of the box.)

Find the intervals where the function is concave up.

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Find the interval where the function is concave down