A rectangular storage container is to have a volume of 1860 ft³. The bottom will cost $3 per square foot to construct, and the sides and top will cost $6 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container that has the minimum cost. Enter an exact answer. Provide your answer below: length = width = height =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A rectangular storage container is to have a volume of 1860 ft³. The bottom will cost $3 per square foot to construct, and
the sides and top will cost $6 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container
that has the minimum cost.
Enter an exact answer.
Provide your answer below:
length
=
width = height
=
Transcribed Image Text:A rectangular storage container is to have a volume of 1860 ft³. The bottom will cost $3 per square foot to construct, and the sides and top will cost $6 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container that has the minimum cost. Enter an exact answer. Provide your answer below: length = width = height =
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