4. A closed rectangular box with sides x, y and height z is made with two kind of material. The top and the bottom cost $10 per square foot and the sides cost $5 per square foot. Find the construction cost in terms of x and y given its volume is 16 ft'. Find dimension of the box so its cost of material is minimum.
4. A closed rectangular box with sides x, y and height z is made with two kind of material. The top and the bottom cost $10 per square foot and the sides cost $5 per square foot. Find the construction cost in terms of x and y given its volume is 16 ft'. Find dimension of the box so its cost of material is minimum.
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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Transcribed Image Text:4. A closed rectangular box with sides x, y and height z is made with two kind of material.
The top and the bottom cost $10 per square foot and the sides cost $5 per square foot.
Find the construction cost in terms of x and y given its volume is 16 ft'.
Find dimension of the box so its cost of material is minimum.
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