(b) Solve the model formulated in part (a). What is the minimal amount of trim loss (in ft)?ftHow many of each pattern should be used?Pattern 1Pattern 2Pattern 3Pattern 4Pattern 5rollsrollsI rollsrollsrolls:How many of each type of roll will be sold on the open market?12-ft15-ft30-ftrollsrollsrolls 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 cutsthe 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)Mins.t.12-fPattern Number15-1130-123450D837600010302010Trim 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 patterns in order to minimize trim loss. (LetP-number of rolls cut into pattern i, for / 1, 2, 3, 4, 5)441not what is the minimal amount of trim loss (in n)

Linear programming is a mathematical optimization technique used to find the best possible outcome…

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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Similar questions

It is highly believed that Quality when used properly can serve to eliminate variability and has nothing to do with reducing overproduction over processing, and transportation time a. True b. False
Which of the following statements about process design are true? O Assembly line capacity is measured in outputs O Job shop has a very high volume output O Batch production has less variety than assembly line production O Continuous flow setups have a lot of work in process inventory O All or none of the above
Sticky Manufacturing produces a variety of adhesive products. On one production line,the company fills one-quart containers with its Skin-Free™ adhesive, a glue that bonds woodand other substances together but does not adhere to human skin in any way.The process yield on the Skin-Free™ line is 92%. One-half pound of Chemical SKF is addedat the beginning of the process for every quart of Skin-Free™ started. The standard price forChemical SKF is $15.00 per pound.Calculate the standard quantity of Chemical SKF consumed for every good unit of output ofSkin-Free™. Then, calculate the standard cost of Chemical SKF in one good quart of Skin-Free™.
The principles of process improvement suggest that an ineffective, inefficient process: O Keeps non-value-adding activities off the critical path Processes workpieces on a FIFO basis Produces products in large batch sizes Produces at the rate of customer demand
Which of these items (computers, gasoline, cars, parking garage) would be manufactured in a Flow MPC environment? Group of answer choices Parking garage Computers Cars Gasoline
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!
A bicycle component manufacturer produces hubs for bike wheels. Two processes are possible for manufacturing, and the parameters of each process are as follows: Process 1 Process 2 Production Rate 35 parts per hour 15 parts per hour Daily production time 4 hours per day 7 hours per day Percent of Parts Rejected 20% 9% Assume that the daily demand for hubs allows all defect-free items to be sold. Additionally, defective hubs cannot be sold and their material cannot be recovered anymore. Find the process that minimizes the total cost per piece if each part is made from $4 worth of material. Both processes are fully automated, and the variable overhead cost is charges at $40 per hour.
A U.S. Postal Service supervisor is looking for ways to reducestress in the sorting department. With the existing arrange-ment, stamped letters are machine-canceled and loaded intotubs with 375 letters per tub. The tubs are then pushed topostal clerks, who read and key zip codes into an automatedsorting machine at the rate of 1 tub per 375 seconds. To over-come the stress caused when the stamp canceling machineoutpaces the sorting clerks, a pull system is proposed. Whenthe clerks are ready to process another tub of mail, they willpull the tub from the canceling machine area. How manytubs should circulate between the sorting clerks and thecanceling machine if 90,000 letters are to be sorted during an8-hour shift, the safety stock policy variable, a, is 0.18, andthe average waiting time plus materials handling time is25 minutes per tub?
In process charts, the symbol used for storage is, a. Square b. Circle c. Triangle d. Arrow
Having safety stock of raw materials to protect against quality is an example of “Mura”. True or false
Atlanta Manufacturing Company produces products W, X, Y, and Z through a joint process. The joint costs amount to $250,000. Product Units Produced Sales Value at Split-Off Additional Costs of Processing Sales Value After Processing W 750 $10,000 $2,500 $15,000 X 1,500 $30,000 $3,000 $35,000 Y 1,000 $20,000 $4,000 $25,000 Z 1,500 $40,000 $6,000 $45,000 If W is processed further, profits of W will: 1) Increase by $2,500 2) Increase by $12,500 3) Decrease by $23,000 4) Increase by $5,000
Link's Lumber creates pressure-treated utility poles from pine logs bought from several surrounding pine plantations. At the Link's Lumber operation, a batch of 100 pine logs yields 85 utility poles with 5 labor-hours required to process the entire batch. Link's Lumber is owned by Artemis Link, whose brother Devious Link is plan- ning to marry Betty Davis, owner of Northlands Pine Plantation. Artemis expects that his future sister-in-law will sell him pine logs for the same price he is paying to purchase them from other growers right now. The difference in Northlands Pine Plantation logs, however, is that they are considerably higher-quality wood than the logs he purchases from his current suppliers. If Betty agrees to sell him Northlands Pine Plantation pine logs, each batch of 100 logs can be expected to yield 100 util- ity poles, although it will take an additional 4 labor-hours per batch to process the higher-quality wood. a. What is the current labor productivity at Link's Lumber?…

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