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- The following table contains information on the cost to run three jobs onfour available machines. Determine an assignment plan that will minimize costs.MACHINEA B C D1 12 16 14 10Job 2 9 8 13 73 15 12 9 11Bill’s Bar & Grill is open seven nights a week. Business isbusiest on Th ursday, when there is a concert in the park across thestreet. Bill wants a workforce schedule that allows each employeetwo consecutive days off each week. He believes that he needs fouremployees every day except on Th ursday, when he believes heneeds six employees. Develop a workforce schedule for Bill8. A manufacturer of sails for small boats has a group of custom candles awaiting the latest two processing operations before they are sent to customers. Operation 1 must be performed before operation 2, and the tasks have requirements for different times for each operation. The required hours are the following: assignment: 1 2 3 4 5 6 7 8 9 10 Operation 1: 1 5 8 3 9 4 7 2 4 9 Operation 2: 8 3 1 2 8 6 7 2 4 1 A. Use Johnson's rule to determine the sequence excellent. B. Draw a Gantt chart for each operation.
- How is the scheduling of patients in a doctor’s clinic simi-lar to and different from the scheduling of jobs in a factory?2. Use the assignment method to obtain a plan that will minimize the processing costs in the following table under the following conditions: a. The combination 2-D is undesirable. b. The combinations 1-A and 2-D are undesirable. MACHINE A в с DЕ 14 17 16 14 1 18 20 18 19 2 Job 3 14 15 17 12 16 15 17 4 11 13 14 12 14 5 10 16 15 14 13Climate Control, Inc., makes expedition-quality rain gearfor outdoor enthusiasts. Management prepared a forecast ofsales (in suits) for next year and now must prepare a produc-tion plan. The company has traditionally maintained a levelworkforce strategy. All nine workers are treated like familyand have been employed by the company for a number ofyears. Each employee can produce 2,000 suits per month.At present, finished goods inventory holds 24,000 suits. Thedemand forecast follows: Use the Sales and Operations Planning with SpreadsheetsSolver in OM Explorer or develop your own spreadsheetmodels to address the following questions. a. Management is willing to authorize overtime in pe-riods for which regular production and current lev-els of anticipation inventory do not satisfy demand.However, overtime must be strictly limited to no morethan 20 percent of regular-time capacity. Managementwants to avoid stockouts and backorders and is notwilling to accept a plan that calls for shortages.…
- 2. ( A large business process outsourcing company operates 5 days a week (Monday to Friday). The manager estimates that the minimum number of agents required, combined on-site and work-from-home (WFH) setup, to provide prompt service are as follows: 20 for Monday, 18 for Tuesday, 23 for Wednesday, 28 for Thursday, and 32 for Friday. Labor rules state that each agent must work for 3 days a week on-site, and 2 days in WFH setup. For example, an agent who works on-site Monday to Wednesday must be on WFH-setup during Thursday and Friday. Also, the company wants that at least 60% of the workforce for each day are reporting on-site. Formulate the appropriate LP model for this problem to minimize the number of agents to be hired.4. A machining center in a job shop for a local fabrication company has five unprocessed jobs remaining at a particular point in time. The jobs are labeled 1, 2, 3, 4,and 5 in the order that they entered the shop. The respective processing times and due dates are given in the table below. Rule FCFS SPT EDD CR a. Job number Time 1 2 I. II. III. IV. Processing 3 4 5 11 29 31 1 2 Due Date 61 4533 31 32 Determine the sequence of jobs, the average flow time, average tardiness and average number of jobs at the work center for each of the following rules: FCFS SPT EDD CR Summarize the results for all four scheduling rules in the following table. b. Determine a sequence that will minimize the average tardiness. Average flow time (days) Average Average number of jobs Sequence tardiness (days) at the work-center1. A worker earns a minimum daily wage of P537. His regular work hours are from 8:00 am to 5:00 pm with one hour lunch break. The worker's rest day is Thursday. Paydays are every 5th and 20th of the month. Compute his daily gross earnings if his time record shows the following data: Date 21 - Dec Thursday (Rest Day) 22 - Dec Friday 23 - Dec Saturday 24 - Dec Sunday ( Special Holiday) 8:00 am 11:00 am 25 - Dec Monday (Regular Holiday ) NO WORKINO WORK 26 - Dec Tuesday 27 - DecWednesday 28 - DecThursday ( Rest Day) 29 - DecFriday 30 - DecSaturday( Regular Holiday )8:00 am 5:00 pm 31 - Dec Sunday ( Special Holiday) 8:00 am 11:30 am 1- Jan Monday (Regular Holiday ) NO WORKINO WORK 2- Jan Tuesday 3- Jan Wednesday 4- Jan Thursday (Rest Day) |Day Time In Time Out 9:00 am 4:00 pm 8:00 am 5:00 pm 8:00 am 5:00 pm 8:30 am 5:00 pm 8:00 am 5:00 pm 10:00 am 3:00 pm 8:00 am 5:00 pm ]9,00 am 5:00 pm 8:00 am 5:00 pm 8:00 am 4:00 pm
- Weighted-Average Method Arsenio Company manufactures a single product that goes throughtwo processes, mixing and cooking. The following data pertain to the mixing department for August:[LO 6-2, 6-5][LO 6-2, 6-3, 6-4]Work-in-Process Inventory, August 1Conversion: 80% complete 34,000 unitsWork-in-Process Inventory, August 31Conversion: 50% complete 30,000 unitsUnits started 66,000Units completed and transferred out ?CostsWork-in-Process Inventory, August 1Material X $ 64,800Material Y 88,100Conversion 119,880Costs added during AugustMaterial X 152,700Material Y 135,900Conversion 305,120Material X is added at the beginning of work in the mixing department. Material Y is also added in themixing department, but not until units are 60% complete with regard to conversion. Conversion costs areincurred uniformly during the process. The company uses the weighted-average cost method.Required1. Calculate the equivalent units of material X, material Y, and conversion for the mixing department.2.…1. A production department of a textile firm received six different orders this week. They have calculated the processing time presented as a table (below). They have also put the due dates for each job. Job A с E B D F Process. Time 2 4 5 8 10 12 Due Date 7 4 15 16 17 18 Based on the table please provide four sequences to complete the jobs: a) Using first come first served (FCFS) assuming the letters represent the order they arrive (A first, B next, then C, etc..) b) Using shortest processing time c) Using longest processing time d) Using due dates Calculate "average completion time", "average number of jobs in the system" and "average job lateness" for all the sequences you have generated above.2. A small restaurant is creating a schedule for its wait staff to meet its expected weekly demand. The staff requirements have been determined to be: day monday tuesday wednesday thursday friday saturday sunday 1 staff 3. 3. The restaurant would like its staff to have two consecutive days off, with a preference given to Saturday and Sunday, or one of those two days if the pair is not possible. (a) Create a schedule to meet the staff requirements. How many wait staff are needed? (b) The restaurant believes regular maintenance of the kitchen is important. The kitchen staff would like 1 extra worker whenever they perform main- tenance. On which days of the week should maintenance be scheduled? (c) The restaurant wants to create a 'kid's day' (young children eat for free) to attract customers on days with low demand. Given your staff schedule, which day is best to implement this promotion.