A rectangular box is to have a square base and a volume of 24ft^3. If the material for the base costs $0.36/ft^2, the material for the sides costs $0.10/ft^2, and the material fort the top costs $0.24/ft^2, determine the dimensions of the box that can be constructed at minimum cost.

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Asked Nov 12, 2019
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A rectangular box is to have a square base and a volume of 24ft^3. If the material for the base costs $0.36/ft^2, the material for the sides costs $0.10/ft^2, and the material fort the top costs $0.24/ft^2, determine the dimensions of the box that can be constructed at minimum cost.

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Expert Answer

Step 1

Let x denotes the side of the base and y denotes t...

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V =xy 24 xy 24 y==

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