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STAR Co. provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill. STAR receives 100-feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The de- mands for these widths vary from week to week. The following cutting patterns have been established: Pattern Number 12-ft 15-ft 30-ft Trim Loss (ft) 6. 10 3 10 3 8 4 2 5 7 ter 9 Integer Linear Optimization Models Trim loss is the leftover paper from a pattern (for example, for pattern 4, 2(12) + 1(15) + 2(30) = 99 feet used results in 100 – 99 = 1 foot of trim loss). Demands this week are 5670 12-foot rolls, 1680 15-foot rolls, and 3350 30-foot rolls. Develop an all-integer model that will determine how many 100-foot rolls to cut into each of the five patterns in order to meet demand and minimize trim loss (leftover paper from a pattern). --

STAR Co. provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill. STAR receives 100-feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The de- mands for these widths vary from week to week. The following cutting patterns have been established: Pattern Number 12-ft 15-ft 30-ft Trim Loss (ft) 6. 10 3 10 3 8 4 2 5 7 ter 9 Integer Linear Optimization Models Trim loss is the leftover paper from a pattern (for example, for pattern 4, 2(12) + 1(15) + 2(30) = 99 feet used results in 100 – 99 = 1 foot of trim loss). Demands this week are 5670 12-foot rolls, 1680 15-foot rolls, and 3350 30-foot rolls. Develop an all-integer model that will determine how many 100-foot rolls to cut into each of the five patterns in order to meet demand and minimize trim loss (leftover paper from a pattern). --

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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STAR Co. provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill. STAR receives 100-feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The de- mands for these widths vary from week to week. The following cutting patterns have been established: Pattern Number 12-ft 15-ft 30-ft Trim Loss (ft) 6. 10 3 10 3 8 4 2 5 7 ter 9 Integer Linear Optimization Models Trim loss is the leftover paper from a pattern (for example, for pattern 4, 2(12) + 1(15) + 2(30) = 99 feet used results in 100 – 99 = 1 foot of trim loss). Demands this week are 5670 12-foot rolls, 1680 15-foot rolls, and 3350 30-foot rolls. Develop an all-integer model that will determine how many 100-foot rolls to cut into each of the five patterns in order to meet demand and minimize trim loss (leftover paper from a pattern). --
Transcribed Image Text:STAR Co. provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill. STAR receives 100-feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The de- mands for these widths vary from week to week. The following cutting patterns have been established: Pattern Number 12-ft 15-ft 30-ft Trim Loss (ft) 6. 10 3 10 3 8 4 2 5 7 ter 9 Integer Linear Optimization Models Trim loss is the leftover paper from a pattern (for example, for pattern 4, 2(12) + 1(15) + 2(30) = 99 feet used results in 100 – 99 = 1 foot of trim loss). Demands this week are 5670 12-foot rolls, 1680 15-foot rolls, and 3350 30-foot rolls. Develop an all-integer model that will determine how many 100-foot rolls to cut into each of the five patterns in order to meet demand and minimize trim loss (leftover paper from a pattern). --
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