A box with a rectangular base, square ends and no lid is to be made out of two types of wood. The wood for the ends and the front costs $15 /m2 and the wood for the base and the back cost $8 /m2. If the total volume of the box must be 7 m3 find the dimensions that will minimize the cost of the wood.
A box with a rectangular base, square ends and no lid is to be made out of two types of wood. The wood for the ends and the front costs $15 /m2 and the wood for the base and the back cost $8 /m2. If the total volume of the box must be 7 m3 find the dimensions that will minimize the cost of the wood.
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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A box with a rectangular base, square ends and no lid is to be made out of two types of wood. The wood for the ends and the front costs $15 /m2 and the wood for the base and the back cost $8 /m2. If the total volume of the box must be 7 m3 find the dimensions that will minimize the cost of the wood.
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