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A company makes 110-inch wide rolls of thin sheet metal and slices them in smaller rolls of 12, 15, and 30 inches. A cutting pattern is a configuration of the number of smaller rolls of each type that are cut from the raw stock. Six different cutting patterns are used. Pattern 1 2 3 4 5 6 12 in. 0 0 1 9 2 7 Size of End Item 15 in. 7 1 0 0 1 1 30 in. 0 3 3 0 2 0 Scrap 5 in. 5 in. 8 in 2 in 11 in 11 in Demands for the coming week are 500 12-inch rolls, 715 15-inch rolls, and 630 30-inch rolls. Develop a model that will determine how many 110-inch rolls to cut into each of the six patterns to meet demand and minimize scrap.

A company makes 110-inch wide rolls of thin sheet metal and slices them in smaller rolls of 12, 15, and 30 inches. A cutting pattern is a configuration of the number of smaller rolls of each type that are cut from the raw stock. Six different cutting patterns are used. Pattern 1 2 3 4 5 6 12 in. 0 0 1 9 2 7 Size of End Item 15 in. 7 1 0 0 1 1 30 in. 0 3 3 0 2 0 Scrap 5 in. 5 in. 8 in 2 in 11 in 11 in Demands for the coming week are 500 12-inch rolls, 715 15-inch rolls, and 630 30-inch rolls. Develop a model that will determine how many 110-inch rolls to cut into each of the six patterns to meet demand and minimize scrap.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A company makes 110-inch wide rolls of thin sheet metal and slices them in smaller rolls of 12, 15, and 30 inches. A cutting pattern is a configuration of the number of smaller rolls of each type that are cut from the raw stock. Six different cutting patterns are used. Pattern 1 2 3 4 5 6 12 in. 0 0 1 9 2 7 Size of End Item 15 in. 7 1 0 0 1 1 30 in. 0 3 NOW w 3 2 0 Scrap 5 in. 5 in. 8 in 2 in 11 in 11 in Demands for the coming week are 500 12-inch rolls, 715 15-inch rolls, and 630 30-inch rolls. Develop a model that will determine how many 110-inch rolls to cut into each of the six patterns to meet demand and minimize scrap.
Transcribed Image Text:A company makes 110-inch wide rolls of thin sheet metal and slices them in smaller rolls of 12, 15, and 30 inches. A cutting pattern is a configuration of the number of smaller rolls of each type that are cut from the raw stock. Six different cutting patterns are used. Pattern 1 2 3 4 5 6 12 in. 0 0 1 9 2 7 Size of End Item 15 in. 7 1 0 0 1 1 30 in. 0 3 NOW w 3 2 0 Scrap 5 in. 5 in. 8 in 2 in 11 in 11 in Demands for the coming week are 500 12-inch rolls, 715 15-inch rolls, and 630 30-inch rolls. Develop a model that will determine how many 110-inch rolls to cut into each of the six patterns to meet demand and minimize scrap.
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