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- The Trim-Look Company makes several lines of skirts, dresses, and sport coats. Recently, a consultant suggested that the company reevaluate its South Islander line and allocate its resources to products that would maximize contribution to profits and to overhead. Each product requires the same polyester fabric and must pass through the cutting and sewing departments. The following data were collected for the study: PROCESSING TIME (HR) Product Cutting Sewing Material (yd) Skirt 1 1 1 Dress 3 4 1 Sport coat 4 6 4 The cutting department has 100 hours of capacity, sewing has 180 hours of capacity, and 60 yards of material are available. Each skirt contributes $5 to profits and overhead; each dress, $17; and each sport coat, $30. a. Specify the objective function and constraints for this problem. b. Use a computer package such as POM for Windows to solve the problem.At the University Hospital, five blood samples must bescheduled through a blood-testing laboratory. Eachsample goes through up to four different testing stations.The times for each test and the due dates for eachsample are as follows:Sample Test Station/Hours Due Date (hours)1 A/1, B/2, C/3, D/1 62 B/2, C/3, A/1, D/4 103 C/2, A/3, D/1, C/2 84 A/2, D/2, C/3, B/1 145 D/2, C/1, A/2, B/4 12a. Using a Gantt chart, schedule these five samples in priority order of earliest due date first.b. Assume that the capacity of each test station (A, B, C and D) is doubled. Prepare an FCS for this situation.c. What are the bottleneck work centers in part a of the problem. Suggest capacity additions that might be needed.b) A company receives parts from suppliers to be used in its manufacturing departments. The quality control department must perform two operations when shipments are received: Operation A – draw a random sample, package, and deliver to testing; and Operation B – test the materials and issue a disposition report. There are currently six shipments waiting to be processed. The time estimates for processing these six shipments through quality control are given in the table below. Shipment Operation A (hours) Operation B (hours) A 1.5 1.0 В 1.1 2.7 1.2 1.4 D 0.7 1.6 E 1.6 1.5 F 1.9 2.9 Use Johnson's Rule to set the sequence of processing the shipments through Quality Control. i. ii. How much total time is required to process all the six shipments through Quality Control? Show all times on a Gantt Chart. w lu
- The operation Management Computer Lab at the PUPR has two student software statistical package assignment assistant. The students form a single line to wait for help from the computer laboratory assistant. The students are helped first come, first served. On the average students arrive for help, following a triangular distribution (x1 5, y1 0).(x2 15, y2 ?) minutes. Each computer laboratory assistant, on the average can help 1 student per 15 minute (add all the numbers in your student ID) minutes and the service rate follow an exponential distribution. Determine Y2 or h. O a. H = 0.33 POb.H=2 OC.H=0.25 O d. H-0.2A company receives parts from suppliers to be used in its manufacturing departments. The quality control department must perform two operation when shipments are received:i) Operation A-draw a random sample, package, and deliver to testing, andii) Operation B-test the materials and issue a disposition reportThere are currently six shipments waiting to be processed. The time estimates for processing these six shipments through quality control are:Shipment Operation A (hours) Operation B (hours)1 1.5 1.02 1.1 2.73 1.2 1.44 0.7…The National State Bank is trying to make sure that they have enough tellers to handle the Friday afternoon rush of workers wanting to cash their paychecks. They are only concerned with the last hour of the day from 4:00 to 5:00 P.M. It takes 5 minutes per customer to be processed by the tellers. The average customer arrivals are shown in the table below. TIME CUSTOMERSARRIVING 4:00 – 4:05 2 4:05 – 4:10 6 4:10 – 4:15 7 4:15 – 4:20 6 4:20 – 4:25 14 4:25 – 4:30 16 4:30 – 4:35 18 4:35 – 4:40 10 4:40 – 4:45 12 4:45 – 4:50 2 4:50 – 4:55 5 4:55 – 5:00 2 5:00 – 5:05 0 Total 100 The bank currently has 8 teller stations, and all are staffed during the Friday afternoon rush hour. a. What is the current maximum output at the bank during rush hour? b. Can the bank process all the customers by 5:00 P.M.? c. What is the maximum waiting time for customers, and what time period does it occur in? (Round your…
- state whether or not each situation would be considered “compensable time” (and why or why not). An employee of a fast food chain has to arrive at work 15 minutes early to change into the“mascot” costume and it typically takes another 15 minutes at the end of the shift to change outof the costume and properly store it. Due to the cost of the costume, employees are notallowed to take the costume home. The “mascots” typically work from 10am – 2pm, to coverthe lunch rush periods. How much time would be “compensable” for the mascots, assumingthe conditions/schedule listed above?2) George is a Radiology Technician at a local hospital and when on call, is required to be nofurther than 30 minutes away from the facility. Is the “on call” time, compensable?Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 • Worker 2: Tasks 4, 5, 6 • Worker 3: Tasks 7, 8, 9 • Worker 4: Tasks 10, 11, 12 What is the direct labor content (in seconds per unit)?William Beebe owns a small shoe store. He has 10 pairs of shoes that requireresoling and polishing. He has a machine that can resole one pair of shoes at atime, and the time required for the operation varies with the type and condition of theshoe and the type of sole that is used. Shoes are polished on a machine dedi-cated tothis purpose as well, and polishing is always done after resoling. His assistant generally does the polishing while Mr. Beebe does the resoling. The resoling and polishingtimes (in minutes) are Shoes Resoling Time Polishing Time1 14 32 28 13 12 24 6 55 10 106 14 67 4 128 25 89 15 510 10 5In what order should the shoes be repaired in order to minimize the total makespanfor these 10 jobs?
- Diablo Electronics manufactures four unique products (A, B, C, and D) that are fabricated and assembledin five different workstations (V, W, X, Y, and Z) using a small batch process. Each workstation is staffedby a worker who is dedicated to work a single shift per day at an assigned workstation. Batch setuptimes have been reduced to such an extent that they can be considered negligible. A flowchart denotesthe path each product follows through the manufacturing process as shown in Figure 5.2, where eachproduct’s price, demand per week, and processing times per unit are indicated as well. Inverted trianglesrepresent purchased parts and raw materials consumed per unit at different workstations. Diablo canmake and sell up to the limit of its demand per week, and no penalties are incurred for not being able tomeet all the demand.Which of the five workstations (V, W, X, Y, or Z) has the highest utilization, and thus serves as the bottle-neck for Diablo Electronics?The manager of the Personnel Department at City Enterprises has been reading about time-driven ABC and wants to apply it to her department. She has identified four basic activities her employees spend most of the their time on: Interviewing, Hiring, Assessment, and Separation Processing. The department employs 5 staff who perform these activities. The manager provides the following estimates for the amount of time it takes to complete each of these activities: Interviewing: 45 minutes. Hiring: 60 minutes. Assessment: 75 minutes. Separation Processing: 90 minutes. Employees in Personnel work 35-hour weeks with four weeks for vacation. Of the 35 hours, five are reserved for administrative tasks, training, and so on. The costs of the Personnel Department, including any allocated costs from other staff functions, are $972,000. During the year, Personnel conducted 1,200 interviews, made 375 hires, made 3,000 assessments, and had 250 separations. The manager of the Personnel…ABC Solutions is a traditional company in a textile industry with a combined workforce of 150 staff. Due to increased levels of competition, this company is now increasingly finding it difficult to compete – especially as the larger companies seem to be a little more innovative, agile and responsive to client requirements. Management have noticed that staff, especially the highly skilled ones, are now leaving the company to seek work elsewhere (in these larger companies). This has meant appointing new staff and undertaking a considerable amount of re-training to replace those that have left the company. Apart from impacting on core business operations, ABC Solutions has started witnessing a drop in its profit margin. Given this position, senior management at ABC Solutions have decided to implement a performance measurement tool (PMT) that would allow them to align the strategic, management and operational requirements of the business. They are therefore considering the adoption of the…