Departments A, B, C, and D need to be assigned to four rooms 1, 2, 3, and 4. These rooms are arranged in a row, in that order, with 20 meters between each. The departmental work flows are contained in the table below. Flow Matrix Dept. A Dept. B Dept. C 5 Dept. D Dept. A Dept. B Dept. C Dept. D 30 20 40 20 10 40 10 5 The material handling total of assigning A-1, B-2, C-3, D-4 is
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- b. The Healthy Food Restaurant, a 24-hour restaurant, faces changing requirements from hour tohour. More workers are needed for peak hours, and fewer are needed in between. The followingTable 6 (below) shows the worker requirement for the first 12 hours in the restaurant:Table 6. Staff Requirement at the Healthy Food RestaurantTime Period 10AM11AM12PM1PM2PM3PM4PM5PM6PM7PM8PM9PMRequirement 8 10 12 12 9 7 6 7 9 10 12 8AssignedOn DutyOverstaffed8(i) You are required to apply the first-hour principle to staff each hour with the required number ofcafeteria staff, showing how many staff are on duty each given hour, the number of staffyou have assigned to work each hour and any overstaffing for each hour. i. Schedule the staff to work in 8-hour shifts.JOHNSON’S RULE Five specialty jobs at a La Crosse, Wisconsin, tool and die shop must be processed through two workcenters (drill press and lathe). The time for processing each job follows:Work (processing) Time for Jobs (hours)JOBWORK CENTER 1(DRILL PRESS) WORK CENTER 2(LATHE)A5 2B3 6C8 4D 10 7E 7 12An electronic gadgets store requires the following minimum number of employees, each of whom is required to have two consecutive days off. What is the schedule for employee 1? Mon. Tue. wed. Thur. Fri. Sat. Sun. Day: Minimum employees required: 9 2 7 6 9 a) Saturday and Sunday off b) Saturday and Tuesday off c) Wednesday and Thursday off d) Tuesday and Wednesday off
- A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.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?A local bakery makes custom cakes for special eventssuch as weddings and graduations. Making cakes is a two-step process of baking and decorating. The bakery has received eight orders, and the times required in hours for baking and decorating for each order are given in the following table:Cake Orders Baking DecoratingA 3 4B 1 2C 4 7D 2 4E 5 10F 2 6G 5 7H 6 13Determine a sequence that will minimize the makespan time.Construct a chart of the resulting sequence, and determine the idle time in te decoration process.
- 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)?Your hospital has built a new freestanding facility that includes a 36-bed medical telemetry care unit. The patients and staff from the existing smaller units will be combine into the new unit. The current budget for each of these units is: unit a- average daily census 11.9 unit b- average daily census 22.0 unit a- acuity 1.6 unit b- acuity 1.85 unit a- workload 3.8 unit b-workload 3.6 unit a- productivity % 19.0 unit b- productivity % 16.5 the budgets of the two units will be combine with no changes. Calculate the budget for the new unit including the ADC, acuity, workload, hours per patient day (HPPD), shifts/24 hours, productivity factor and variable direct care full time equivalents.Instructions: Do this on a clean sheet of paper (preferably bond paper). Construct a complete Linear Programming Model. Show a complete, legible, and well-organized solution. Upload in Canvas an image or pdf file of your work through this page. 3. In order to produce 1000 tons of non-oxidizing steel for engine valves, at least the following units of manganese, chromium and molybdenum, will be needed weekly: 10 units of manganese, 12 units of chromium, and 14 units of molybdenum (1. unit is 10 pounds). These metals are obtainable from dealers in nonferrous metals, who, to attract markets make them available in cases of three sizes, S, M and L. One S case costs $9 and contains 2 units of manganese, 2 units of chromium and 1 unit of molybdenum. One M case costs $12 and contains 2 units of manganese, 3 units of chromium, and 1 unit of molybdenum. One L case costs $15 and contains 1 unit of manganese, 1 unit of chromium and 5 units of molybdenum. How many cases of each kind should be…
- A department has four subordinates, and four tasks to be performed. The subordinates differ inefficiency and the tasks differ in their intrinsic difficulty. His estimate of time each man wouldtake to perform each task is given in the matrix below.Job StaffTerry Jane Tom TarilJob A 18 26 17 11Job B 13 28 14 26Job C 38 19 18 15Job D 19 26 24 10Determine how the tasks should be allocated one to one man so as to minimize the total manhoursWilliam 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?A furniture factory makes two types of wooden tables,large and small. See the flowchart below .Small tables are made in batches of 100, and large tables are made in batches of 50. A batch includes a fixed setup time for the entire batch at each process step and a run time for each piece in the batch. Both large and small tables have the same processing times. The capacities of each process step are given, and apply to production of either type of table, as shown in the flowchart. a. What is the capacity of the system, and what is thebottleneck? b. What are the throughput times for batches of large and small tables? c. When producing at a rate of six small tables per hour on average, how many tables will be in the system?