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STAR Co. provides paper to smaller companies whose volumes are not large enough to warran paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The cutting patterns have been established: Number of: Pattern 12ft. 15ft. 30ft. Trim Loss 104 1 10 ft. 7ft. 4 ft. 1 ft. 1 ft. 2 3 S 8 2 2 30 0 1 3 0 2 1 Trim loss is the leftover paper from a pattern (e.g, for pattern 4, 2(12)+1(15) + 2(30) 99 hand for the coming week are 5,670 12-foot rolls, 1,680 15-foot rolls, and 3,350 30-foot rolls. han sold eld.

STAR Co. provides paper to smaller companies whose volumes are not large enough to warran paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The cutting patterns have been established: Number of: Pattern 12ft. 15ft. 30ft. Trim Loss 104 1 10 ft. 7ft. 4 ft. 1 ft. 1 ft. 2 3 S 8 2 2 30 0 1 3 0 2 1 Trim loss is the leftover paper from a pattern (e.g, for pattern 4, 2(12)+1(15) + 2(30) 99 hand for the coming week are 5,670 12-foot rolls, 1,680 15-foot rolls, and 3,350 30-foot rolls. han sold eld.

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 whose volumes are not large enough to warran paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The cutting patterns have been established: 1 2 Pattern 12ft. 15ft. 30ft. Trim Loss 0 4 1 10 ft. 3 0 7 ft. 8 0 0 4 ft. 2 1 2 1 ft. 5 2 3 1 1 ft. Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 2(12)+1(15) + 2(30) = 99 hand for the coming week are 5,670 12-foot rolls, 1,680 15-foot rolls, and 3,350 30-foot rolls. hand will be sold on the open market at the selling price. No inventory is held. Number of: 3
Transcribed Image Text:STAR Co. provides paper to smaller companies whose volumes are not large enough to warran paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The cutting patterns have been established: 1 2 Pattern 12ft. 15ft. 30ft. Trim Loss 0 4 1 10 ft. 3 0 7 ft. 8 0 0 4 ft. 2 1 2 1 ft. 5 2 3 1 1 ft. Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 2(12)+1(15) + 2(30) = 99 hand for the coming week are 5,670 12-foot rolls, 1,680 15-foot rolls, and 3,350 30-foot rolls. hand will be sold on the open market at the selling price. No inventory is held. Number of: 3
(a) Formulate an integer programming model that will determine how many 100-foot rolls to your answer is zero enter "0" and if the constant is "1" it must be entered in the box. Let x-number of 100-foot-wide rolls using cutting pattern/./- 1, 2, 3, 4, 5. Optimal Solution Min 4.L. Pattern 10 1 X1 2 S + 289 1671 ©* © 322 *2 Ⓡ3 → 0 © Number of Rolls Sold Type of Roll on the Open Market 12-foot rolls *3 *3 > *3 + (b) Solve the model formulated In part a. What is the minimal amount of trim loss? Total Trim Loss 2835 feet 1 How many of each pattern should be used and how many of cach type of roll will be sold a Number of Rolls Used for Each Pattern 2 X4 34 X4 X4 XXX, X, Xs are integers and nonnegat
Transcribed Image Text:(a) Formulate an integer programming model that will determine how many 100-foot rolls to your answer is zero enter "0" and if the constant is "1" it must be entered in the box. Let x-number of 100-foot-wide rolls using cutting pattern/./- 1, 2, 3, 4, 5. Optimal Solution Min 4.L. Pattern 10 1 X1 2 S + 289 1671 ©* © 322 *2 Ⓡ3 → 0 © Number of Rolls Sold Type of Roll on the Open Market 12-foot rolls *3 *3 > *3 + (b) Solve the model formulated In part a. What is the minimal amount of trim loss? Total Trim Loss 2835 feet 1 How many of each pattern should be used and how many of cach type of roll will be sold a Number of Rolls Used for Each Pattern 2 X4 34 X4 X4 XXX, X, Xs are integers and nonnegat
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