3. Eddie Irwin works in the data processing department at the local medical center. He is required to keep a weekly time card. Please fill out the time card Date Out Sun. Mon. Tues. Wed. Thur. Fri. Sat. 12/13 12/14 In 8:15am 8:30am 12/15 8:35am 12/16 8:15am 12/17 8:25am 12 noon 12:30pm 12:50pm 12:10pm 1:15pm In 12:30pm 1:10pm 1:30pm 12:45pm 1:50pm Out 4:30pm 5:10pm 5:00pm 4:20pm 5:30pm Total Hours>>> Hours
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- A leatherworks factory has two punch presses for punching holes in the various leathergoods produced in the factory prior to sewing. Suppose that 12 different jobs must beprocessed on one or the other punch press (i.e., parallel processing). The processingtimes (in minutes) for these 12 jobs are given in the following table.Job 1 2 3 4 5 6 7 8 9 10 11 12Time 26 12 8 42 35 30 29 21 25 15 4 75Assume that both presses are initially idle. Compare the performance of SPT andLPT (longest processing time) rules for this example. (In parallel processing the nextjob is simply scheduled on the next available machine.)A) What is the theoretical minimum number of workstations? a. 3 workstations b. 3.5 workstations c. 3.83 workstations d. 4 workstations e. 5 workstations B) Which of the following statements is FALSE? a. Tasks A, B, and C can be started as soon as possible. b. All of the tasks A, B and C should be finished first before task F can be started. c. All of the tasks A through H should be finished first before task I can be started. d.All of the tasks B, E, C and F should be finished first before task H can be started. Answer the two questions please.The Hickory Company manufactures wooden desks. Management schedules overtime every weekend to reduce the backlog on the most popular models. The automatic routing machine is used to cut certain types of edges on the desktops. The following orders need to be scheduled for the routing machine: Order Time SinceOrder Arrived(hours ago) EstimatedMachineTime (hours) Due Date(hours fromnow) 1 2 3 4 5 6 5 3 1 0 10 3 15 9 7 12 8 18 20 21 The due dates reflect the need for the order to be at its next operation.a. Develop separate schedules by using the FCFS and EDD rules. Compare the schedules on the basis of average flow time and average past due hours.b. Comment on the performance of the two rules relative to these measures.
- Now you are being hired as a scheduler in the manufacturing unit of surgical instruments. Your job is to schedule four jobs on the two machines. The job processing time in minutes for the four jobs is given below: A с D Machine 1 Machine 2 3.43 0.11 B 1.58 0.46 3.62 2.29 4.05 4.52 The optimal schedule using Johnson method and makespan for the jobs is: (A)BCBA, 12.79 minutes (B) ABCD, 5.41 minutes (C) DCBA, 12.79 minutes (D) CDBA, 5.41 minutesTask 4In this task, you are asked to formulate the linear programming problem below andthen solve it.A carpenter produces Tables (T) and Chairs (C).Each Table unit requires 6kg of wood and 1kg of plastic.Each Chair unit requires 4kg of wood and 4kg of plastic.The carpenter has only 100kg of wood and only 50kg of plastic in stock.On each sale, the carpenter makes a profit of £15 per Table unit sold and a profit of£30 per Chair unit sold.Required:Formulate the Linear Programming problem above by defining the variables,stating the object function and the constraints.You are required to produce the graph for all inequalities (copy image to Word)Find the quantity to make of Tables and Chairs to maximise profit.T:35) A cafeteria opens from 9 am to 5 pm. Staffing is as folllows: a full time worker works 7 hours with a 1 hour (paid) break in the middle. A part-time worker works 4 hours (consecutively). The number of workers needed per time-slot is shown below. A full time worker earns $12.00 per hour whereas a part time worker earns $7.50 per hour. At least 4 full time workers must be hired throughout the day. What is the best hiring schedule to minimise labour cost as well as deliver adequate service?
- The topic is about Quantitive analysis and decision making. Problem: A firm just completed a new plant that will producemore than 500 different products, using morethan 50 different production lines and machines.The production scheduling decisions are criticalin that sales will be lost if customer demands arenot meet on time. If no individual in the firmhas experience with this production operationand if new production schedule must begenerated each week, why should the firmconsider a quantitative approach to theproduction scheduling problem?do not need to solve thr problem, jsit crrate the linear program.Tim runs a softball league consisting of 16 teams. Each team plays approximately 20 games each summer. The biggest challenge for Tim in scheduling games has been the lack of available umpires. There are only 5 available umpires and they prefer to work consecutive nights and not more than 4 times per week. The typical requirements for umpires on a given week is shown below. A. How can you use workforce scheduling methods to schedule the umpires this comingsummer? B. Create an optimal schedule. Monday Tuesday Wednesday Thursday Friday Saturday Sunday Umps Required 4 4 2 2 4 4 1
- Lee Beedo, a hip bachelor in Edmond, has a date for Saturday night and finds himself without a thing to wear. Faced with the daunting task of doing enough laundry to fully accessorize during his night out, Lee has sorted his clothes into loads according to fabric and color. Based on his vast experience doing laundry, Lee knows how long each load will take in both the washer and the dryer. He glances at his watch; it is now 2:00 p.m. and he has to have the last load dry by 8:30 p.m. to be there in time. Help Lee develop a schedule that will enable him to make his date on time and depict that schedule using a Gantt chart. Can he make it and, if so, by how much?janitorial service, Mother’s Helpers, provide workers to clean office buildings during late evening hours using workers with two skill levels, 1 and 2. Each level 1 person is paid $12 per hour and each level 2 person is paid $8 per hour. The workers wash floors and vacuum offices. Each level 1 person can vacuum 9 offices per hour, whereas level 2 person can vacuum only 2 offices per hour. Each level 1 person can wash 2 floors per hour; whereas level 2 person can wash 3 floors per hour. In order to complete a new job in the allotted time, 18 offices must be vacuumed per hour and 12 floors must be washed per hour.b. What is the minimum cycle time that can be considered? Determine the balancethat results from the ranked positional weight technique for this cycle time.