A rectangular storage container with an open top is to have a volume of 72m³. The length of its base is twice the width. Material for the base costs $24 per square meter. Material for the sides costs $12 per square meter. Find the dimensions and the cost of materials for the cheapest such container. • Width: m • Length: m • Height: Im • Cost: $

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A rectangular storage container with an open top is to have a volume of 72m³. The length of its base is twice the width. Material for the base
costs $24 per square meter. Material for the sides costs $12 per square meter. Find the dimensions and the cost of materials for the cheapest
such container.
• Width: m
• Length: m
Height: m
• Cost: $
Transcribed Image Text:A rectangular storage container with an open top is to have a volume of 72m³. The length of its base is twice the width. Material for the base costs $24 per square meter. Material for the sides costs $12 per square meter. Find the dimensions and the cost of materials for the cheapest such container. • Width: m • Length: m Height: m • Cost: $
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