2. Your senior project is to design the most economical tomato soup can. The can must hold 400 cm3. The top and the bottom will cost C.10 per cm? and the side's cost is C.08 per cm?. To minimize waste, you plan to cut the top and the bottom from two square pieces of aluminum. You anticipate that cutting the side (which is a rectangle) will not produce any waste. What should the dimensions of the can be so the cost of the material (including the waste from cutting the top and bottom) is minimal?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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2. Your senior project is to design the most economical tomato soup can. The can must hold 400 cm3. The top
and the bottom will cost C.10 per cm? and the side's cost is ¢.08 per cm2. To minimize waste, you plan to cut the
top and the bottom from two square pieces of aluminum. You anticipate that cutting the side (which is a
rectangle) will not produce any waste. What should the dimensions of the can be so the cost of the material
(including the waste from cutting the top and bottom) is minimal?
Transcribed Image Text:2. Your senior project is to design the most economical tomato soup can. The can must hold 400 cm3. The top and the bottom will cost C.10 per cm? and the side's cost is ¢.08 per cm2. To minimize waste, you plan to cut the top and the bottom from two square pieces of aluminum. You anticipate that cutting the side (which is a rectangle) will not produce any waste. What should the dimensions of the can be so the cost of the material (including the waste from cutting the top and bottom) is minimal?
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