STAR Co. provides paper to smaller companies whose volumes are not large enough to warranpaper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. Thecutting patterns have been established:12Pattern 12ft. 15ft. 30ft. Trim Loss04110 ft.307 ft.8004 ft.2121 ft.52311 ft.Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 2(12)+1(15) + 2(30) = 99hand 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 toyour 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 SolutionMin4.L.Pattern101X12S+2891671©* ©322*2Ⓡ3→0©Number of Rolls SoldType of Roll on the Open Market12-foot rolls*3*3>*3+(b) Solve the model formulated In part a. What is the minimal amount of trim loss?Total Trim Loss2835 feet1How many of each pattern should be used and how many of cach type of roll will be sold aNumber of Rolls Usedfor Each Pattern2X434X4X4XXX, X, Xs are integers and nonnegat

Decision Variables: Suppose-xj= No. of 100 foot wide rolls using cutting pattern j, where…

Answered: STAR Co. provides paper to smaller…

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…
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. Pattern Number 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 3 0 2 4 5 7 1 0 1 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 5,680 12-foot rolls, 1,670 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. (a) Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the…
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A #2 pencil (P) is made from a wood subassembly (WS), a band (B) to hold the eraser on and an eraser (E). The wood subassembly is made from 2 wood halves (WH) and a piece of lead (L), the wood halves are made from wood blanks (WB). (For this question we will ignore the need for glue and paint.) The lead times for each of these are given below Lead Time (Weeks) P 2 WS 4 B 6 E 2 WH 2 L 2 WB 1 If nothing is in inventory (that is, all on hand quantities are equal to zero), and it is now the beginning of period 20, then when is the earliest that we can promise to ship No. 2 pencils?
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In case of a production company which produces 3 different products (RE1, RE2, RE3), we know the following information: Measuring Unit RE1 RE2 RE3 Quantity unit 3,000,000 4,000,000 5,000,000 Sales Price Euro/unit 2,500 3,000 3,500 Production Cost Euro/unit 1,500 1,500 1,500 Consumption Factor kg/unit 0.02 0.04 0.01 Tasks: a) Has a company scarce resource if the company has only 250 tons raw material? b) Calculate the optimal composition of products! c) Determine the estimated total sales!
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