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EN Suppose you are constructing a closed rectangular container with a volume of 30 ft2. The container is required to have the height be twice the length. The sides, top, and bottom of the container are made out of different material. The sides of the container will cost $4 per ft2, the bottom of the container costs $2 per ft2 and the top of the container will cost $6 per ft2. Find the dimensions of the container that will minimize the cost to build it. Make sure to justify that your answer will result in a minimum. (Leave your answers in radicals/fractions if necessary) 10.

EN Suppose you are constructing a closed rectangular container with a volume of 30 ft2. The container is required to have the height be twice the length. The sides, top, and bottom of the container are made out of different material. The sides of the container will cost $4 per ft2, the bottom of the container costs $2 per ft2 and the top of the container will cost $6 per ft2. Find the dimensions of the container that will minimize the cost to build it. Make sure to justify that your answer will result in a minimum. (Leave your answers in radicals/fractions if necessary) 10.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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10. Suppose you are constructing a closed rectangular container with a volume of 30 ft². The container is required to have the height be twice the length. The sides, top, and bottom of the container are made out of different material. The sides of the container will cost $4 per ft2, the bottom of the container costs $2 per ft2 and the top of the container will cost $6 per ft2. Find the dimensions of the container that will minimize the cost to build it. Make sure to justify that your answer will result in a minimum. (Leave your answers in radicals/fractions if necessary)
Transcribed Image Text:10. Suppose you are constructing a closed rectangular container with a volume of 30 ft². The container is required to have the height be twice the length. The sides, top, and bottom of the container are made out of different material. The sides of the container will cost $4 per ft2, the bottom of the container costs $2 per ft2 and the top of the container will cost $6 per ft2. Find the dimensions of the container that will minimize the cost to build it. Make sure to justify that your answer will result in a minimum. (Leave your answers in radicals/fractions if necessary)
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