Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (1.e.. a machine-paced line flow). Each worker must perform at least one task. There is unlimited demand. Task 1 Task 2 Task 3 Task 4 Task 5 Task 6 Task 7 Task 8 Task 9 Task 10 Task 11 Task 12 Time to Complete Task (seconds) 20 20 10 15 10 15 40 10 15 20 10 15 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
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- 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)?DreamInflate is a balloon manufacturing company. Balloon manufacturing consists of seven work stations, each performing a single step as indicated in the table below. There are five workers manned for the seven work stations as shown. Assume the workers are paid $15 per Worker Task Sequence Processing Time (secs/balloon) Task Dye production Electrocharging Dipping (Cold and Hot) Mortar Dipping Balloon inflation and delaltexing Vulcanization Inspection/Testing 1 30 w1 20 3 35 W2 25 W3 30 W4 6. 45 W5 7 40 hour. Each balloon pack is sold for $6 and has a variable cost of $1. The company has fixed costs of $200 per hour. There is more demand than the overall production system can provide. Based on the information provided, answer the following questions: • What is the cost of direct labor for balloons? • How much profit does DreamInflate make every hour? (note that the cost of direct labor is also a variable cost). What would the profit of DreamInflate be if the variable costs were 10…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?
- Up, Up, and Away is a producer of kites and wind socks.Relevant data on a bottleneck operation in the shop for theupcoming fiscal year are given in the following table:Item Kites Wind SocksDemand forecast 30,000 units/year 12,000 units/yearLot size 20 units 70 unitsStandard processing time 0.3 hour/unit 1.0 hour/unitStandard setup time 3.0 hours/lot 4.0 hours/lotThe shop works two shifts per day, 8 hours per shift, 200 daysper year. Currently, the company operates four machines,and desires a 25 percent capacity cushion. How many ma-chines should be purchased to meet the upcoming year’s de-mand without resorting to any short-term capacity solutions?A work cell in a local manufacturer has a workstation with 4 machines that form a line (Machine 1-Machine 2-Machine 3-Machine 4). Each unit needs to pass through each machine in order to be completed. Each machine has a production capacity of four units per hour. What is the process time of the work cell in minutes per unit? 15 4 8 16The trim line at PW is a small subassembly line that, along with other such lines, feeds into the final chassis line. The entire assembly line, which consists of more than 900 workstations, is to make PW’s new E cars. The trim line itself involves only 13 work elements and must handle 20 cars per hour. Work-element data are as follows: Work Element Time (Sec) Immediate Predecessor(s) A B C DE F G H I J K L M 1.8 0.4 1.6 1.5 0.7 0.5 0.8 1.4 1.4 1.4 0.5 1.0 0.8 None None None A A E B C D F,G H J I,K,L a. Draw a precedence diagram.b. What cycle time (in minutes) results in the desired output rate?c. What is the theoretical minimum number of stations?d. Use the longest work element decision rule to balance the line and calculate the efficiency of your solution.e. Use the most followers work element decision rule to balance the line and calculate the efficiency of your solution.
- A company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed. Standard Deluxe Stamping 3 6 Motor Installation 10 10 Wiring 10 15 The standard models contribute $20 each and the deluxe $30 each to profits. Because the company produces other items that share resources used to make the dishwashers, the stamping machine is available only 30 minutes per hour, on average. The motor installation production line has 60 minutes available each hour. There are two lines for wiring, so the time availability is 90 minutes per hour. Write the formulation for this linear program. What are the optimal daily production quantities of each product and the optimal daily profit?A young mechanical engineer devised two different approaches to completing aproduction task. Both methods entail the purchase of the same working space as well asother capital equipment that will only be employed for this operation.A crew of three guys costing P30.00 per hour is required for Method A. This approachwill produce 10 units per hour, two of which will be rejects. Method B requires aworkforce of two workers, each of whom costs P35.00 per hour, to produce eight unitsper hour, one of which will be rejected. Each reject costs P20.00 because direct materialis lost. If a certain total number of units is to be produced, find which method iseconomical. DO NOT USE EXCEL, SOLVE USING FORMULAAbbott Manufacturing produces plastic cases for solar photovoltaic panels and has decided to combine orders from customers to increase work order size, and thereby, make one large production run per model type. Plastic injection molding machines are used to make these parts, and it is time consuming to clean and re-setup the machines between production runs. Each molding machine and operator works one 10-hour shift with a one- hour lunch break and one-half hour for operator breaks. Consolidated Work Orders Model XVT-5 Case Model UYT-3 Case Model KLY-6 Case Work Order Quantity 8,800 panels 8,700 12,400 Setup (Changeover) Time per Work Order (minutes) 86 63 135 Processing Time per Panel (seconds) 2.50 2.22 4.11 What is the total workload (demand) in hours for this work order mix? Round your answer to one decimal place. The total workload is hours. How many machines will it take to do this work in one, two, or three days? Round your answers up to the nearest whole number. To do this work…
- Abbott Manufacturing produces plastic cases for solar photovoltaic panels and has decided to combine orders from customers to increase work order size, and thereby, make one large production run per model type. Plastic injection molding machines are used to make these parts, and it is time consuming to clean and re-setup the machines between production runs. Each molding machine and operator works one 10-hour shift with a one-hour lunch break and one-half hour for operator breaks. Consolidated Work Orders Model XVT-5 Case Model UYT-3 Case Model KLY-6 Case Work Order Quantity 9,600 panels 7,900 12,000 Setup (Changeover) Time per Work Order (minutes) 98 160 What is the total workload (demand) in hours for this work order mix? Round your answer to one decimal place. The total workload is hours. How many machines will it take to do this work in one, two, or three days? Round your answers up to the nearest whole number. To do this work in 1 day they need machine(s). machine(s). To do this…Why is it important to view a batch-process operation as a network of interconnected queues?Station 1 Machine A 20 min/unit Station 1 Machine B 20 min/unit Station 2 12 min/unit Station 3 8 min/unit A three station work cell is illustrated in the image above. A unit needs to be processed at either Machine A or Machine B for Station 1 (parallel lines, both lines doing the exact same thing). The unit is then processed at Stations 2 and 3 before leaving the work cell. The process time of each machine/station is indicated in the flowchart. What is the process time of this system measured in minutes/unit?