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A milk retailer wishes to design a milk carton with a square cross-section, as

A milk retailer wishes to design a milk carton with a square cross-section, as

Advanced Engineering Mathematics
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 milk retailer wishes to design a milk carton with a square cross-section, as illustrated in Figure 1, containing two pints of milk (2 pints = 1.136 litres). The carton is made from a rectangular sheet of waxed cardboard. It folds it into a square tube, seals down the edge, and then folds and seals the top and bottom. To make the resulting carton airtight and robust for handling, an overlap of at least 5mm is needed. The procedure is illustrated in Figure 2. As the milk retailer will be using many such cartons, there is a requirement to use the design that is least expensive to produce. In particular, the retailer desires a design that minimizes the amount of waxed cardboard used. Determine the dimensions of the container as per retailer requirements. 5 mm overlap Fresh Milk 2 pints h (1.136 liters) 5 mm overlap 50 тm <b < 100 тm Figure 1: Milk container dimensions Figure 2: Milk container overlaps
Transcribed Image Text:A milk retailer wishes to design a milk carton with a square cross-section, as illustrated in Figure 1, containing two pints of milk (2 pints = 1.136 litres). The carton is made from a rectangular sheet of waxed cardboard. It folds it into a square tube, seals down the edge, and then folds and seals the top and bottom. To make the resulting carton airtight and robust for handling, an overlap of at least 5mm is needed. The procedure is illustrated in Figure 2. As the milk retailer will be using many such cartons, there is a requirement to use the design that is least expensive to produce. In particular, the retailer desires a design that minimizes the amount of waxed cardboard used. Determine the dimensions of the container as per retailer requirements. 5 mm overlap Fresh Milk 2 pints h (1.136 liters) 5 mm overlap 50 тm <b < 100 тm Figure 1: Milk container dimensions Figure 2: Milk container overlaps
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