A box with a rectangular base is to be constructed of material costing Php 2/sq in for the sides and bottom and Php 3/sq in for the top. If the box is to have a volume of 1,215 in3 and the length of the base is to be twice its width, what dimensions of the box will minimize its cost of construction? What is the minimal cost?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a) A box with a rectangular base is to be constructed of material costing Php 2/sq in for the sides
and bottom and Php 3/sq in for the top. If the box is to have a volume of 1,215 in3 and the
length of the base is to be twice its width, what dimensions of the box will minimize its cost of
construction? What is the minimal cost?
Transcribed Image Text:a) A box with a rectangular base is to be constructed of material costing Php 2/sq in for the sides and bottom and Php 3/sq in for the top. If the box is to have a volume of 1,215 in3 and the length of the base is to be twice its width, what dimensions of the box will minimize its cost of construction? What is the minimal cost?
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