An open top rectangular tank with a square base is to have a volume of 10 cubic feet. The bottom is to cost 15 cents per square foot and the sides, 6 cents per square foot. Assuming ‘y’ as the height of the tank and ‘x’ as the length of an edge of the base, find the sum of ‘x’ and ‘y’ for the most economical dimensions.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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An open top rectangular tank with a square base is to have a volume of 10 cubic feet. The
bottom is to cost 15 cents per square foot and the sides, 6 cents per square foot. Assuming
‘y’ as the height of the tank and ‘x’ as the length of an edge of the base, find the sum of ‘x’
and ‘y’ for the most economical dimensions.

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