4. A cargo container (in the shape of a rectangular solid) must have a volume of 480 cubic feet. The bottom will cost $5.00 per square foot and the sides and the top will cost $3.00 per square foot to construct. Use La-Grange multipliers to find the dimensions which minimize the cost of the container.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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4. A cargo container (in the shape of a rectangular solid) must have a volume of 480 cubic feet.
The bottom will cost $5.00 per square foot and the sides and the top will cost $3.00 per square
foot to construct. Use La-Grange multipliers to find the dimensions which minimize the cost of
the container.
Transcribed Image Text:4. A cargo container (in the shape of a rectangular solid) must have a volume of 480 cubic feet. The bottom will cost $5.00 per square foot and the sides and the top will cost $3.00 per square foot to construct. Use La-Grange multipliers to find the dimensions which minimize the cost of the container.
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