needs excel solver 3. Minimizing Scrap. STAR Co. provides paper to smaller companies with volumes that are not largeenough to warrant dealing directly with the paper mill. STAR receives 100-feet-wide paper rollsfrom the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The demands forthese widths vary from week to week. The following cutting patterns have been established:Pattern Number1234512-ft0082715-ft6001130-ft03020Trim Loss (ft)1010411Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 2(12) + 1(15) + 2(30) = 99 feet usedresults in 100 - 99 = 1 foot of trim loss). Orders in hand for the coming week are 5,670 12-footrolls, 1,680 15-foot rolls, and 3,350 30-foot rolls. Any of the three types of rolls produced in excessof the orders in hand will be sold on the onen market at the selling price No inventory is held esults in 100 – 99 = 1 foot of trim loss). Orders in hand for the coming week are 5,670 12-footolls, 1,680 15-foot rolls, and 3,350 30-foot rolls. Any of the three types of rolls produced in excessof the orders in hand will be sold on the open market at the selling price. No inventory is held.a.Formulate an integer programming model that will determine how many 100-foot rolls to cutinto each of the five patterns in order to minimize trim loss.b. Solve the model formulated in part (a). What is the minimal amount of trim loss? How manyof each pattern should be used and how many of each type of roll will be sold on the openmarket?

Given data is Pattern 12-ft 15-ft 30-ft Trim loss(ft) 1 0 6 0 10 2 0 0 3 10 3 8 0 0 4 4 2…

esults in 100 – 99 = 1 foot of trim loss). Orders in hand for the coming week are 5,670 12-foot olls, 1,680 15-foot rolls, and 3,350 30-foot rolls. Any of the three types of rolls produced in excess f the orders in hand will be sold on the open market at the selling price. No inventory is held. a. Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the five patterns in order to minimize trim loss. b. Solve the model formulated in part (a). What is the minimal amount of trim loss? How many of each pattern should be used and how many of each type of roll will be sold on the open market?

esults in 100 – 99 = 1 foot of trim loss). Orders in hand for the coming week are 5,670 12-foot olls, 1,680 15-foot rolls, and 3,350 30-foot rolls. Any of the three types of rolls produced in excess f the orders in hand will be sold on the open market at the selling price. No inventory is held. a. Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the five patterns in order to minimize trim loss. b. Solve the model formulated in part (a). What is the minimal amount of trim loss? How many of each pattern should be used and how many of each type of roll will be sold on the open market?

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 demands for these widths vary from week to week. The following cutting patterns have been established. 12-ft 15-ft 30-ft Trim Loss (ft) Min s.t. 12-f Pattern Number 15-1 1 30-1 2 3 4 5 0 D 8 3 7 6 0 0 0 1 0 3 0 2 0 10 Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 3(12)+ 0(15) + 2(30) 96 feet used results in 100-96-4 foot of trim loss). Orders in hand for the coming week are 5,660 12- foot rolls, 1,690 15-foot rolls, and 3,340 30-foot rolls. Any of the three types of rolls produced in excess of the orders in hand will be sold on the open market at the selling price. No inventory is held. 10 (a) Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the five…
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