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- A production process at Kenneth Day Manufacturing is shown in the figure below. The drilling operation occurs separately from, and simultaneously with, the sawing and sanding, which are independent sequential operations. A product needs to go through only one of the three assembly operations (the operations are in parallel). 1. Which is the bottleneck?An order for 100 of a product is processed on operation A and operation B. The setuptime on A is 50 minutes, and the run time per piece is 9 minutes. The setup time onB is 30 minutes, and the run time is 6 minutes per piece. It takes 20 minutes to movea lot between A and B. Since this is a rush order, it is given top priority (president’sedict) and is run as soon as it arrives at either workstation.It is decided to overlap the two operations and to split the lot of 100 into two lotsof 60 and 40. When the first lot is finished on operation A, it is moved to operation Bwhere it is set up and run. Meanwhile, operation A completes the balance of the 100units (40) and sends the units over to operation B. These 40 units should arrive asoperation B is completing the first batch of 60; thus, operation B can continue withoutinterruption until all 100 are completed.a. Calculate the total manufacturing lead time for operation A and for B withoutoverlapping.b. Calculate the manufacturing lead time…A production process is shown in the figure above. The drilling operation occurs separately from, and simultaneously with the sawing and sanding operations. Welding starts when both drilling and sanding operations have been completed. After welding, a product needs to go through only one of the three assembly operations (the operations are in parallel, where parallel lines perform the exact same operation). Considering the process times, specify the bottleneck(s). Sawing Sanding Drilling Welding Assembly You can choose more than one.
- EU Company manufactures two different types of life vests (A and B) that are manufactured and assembled on three different workstations (W, X, and Y) using a small-batch process (see Figure 1). Batch setup times are negligible. The flowchart denotes the path each product follows through the manufacturing process, and each product’s price, demand per week, and processing times per unit are indicated as well. Purchased parts and raw materials consumed during production are represented by inverted triangles. EU can make and sell up to the limit of its demand per week; no penalties are incurred for not being able to meet all the demand. Each workstation is staffed by a worker who is dedicated to work on that workstation alone and is paid $6 per hour for an entire week, regardless of how much the worker is used. Total labor costs per week are fixed. Variable overhead costs are $1,500/week. The plant operates one 8-hour shift per day, or 40 hours/week. Which of the three workstations, W,…A product is completed when 18 tasks are done. These tasks are assigned to 6 workstations (each workstation handling several tasks) in an assembly line set up. All workstations work the same amount of time (= cycle time), and move the (partial) product to the next workstation, and repeat this process. The last workstation generates the finished product. We need 1200 units made every day (= 8 hours). If we run this line with a cycle time of 0.3 minutes, what is the most amount of work (in minutes) that can be done on this product? (Give the answer with one decimal place)The assembly department started the month with 468,000 units in its beginning work in process inventory. An additional 1,524,000 units were transferred in from the prior department during the month to begin processing in the Assembly Department. There were 126,000 units in the ending work in process inventory of the Assembly Department. How many units were transferred to the next processing department during the month? a. 1,992,000 b. 1,992,000 c. 2,118,000 d. 1,866,000 e. 1,398,000 f. 1,182,000
- 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?How do you schedule 100 regular manufacturing employees working four to six-hour shifts and three skilled employees on a typical plant process? Each machine and employee must be scheduled over the day and the standard time for planning is an hour?The White Tooth Device Company is a manufacturer of high-end electric toothbrushes. For each toothbrush, there is a sequence of assembly steps performed by five workers. Each worker does two tasks. Inventory buffers are allowed between workers. (a) What is the capacity and cycle time of this process? (b) What is the idle time of each worker if the process operates at full capacity? (c) Suppose two workers could be hired, F and G, and they take the same time to complete tasks as the current five workers. F and G can be assigned to work on the same pair of tasks as one of the current workers. For example, F could be assigned tasks T1 and T2 (just like worker A) while G is assigned T5 and T6 (just like worker C). They cannot be assigned tasks that are currently assigned to two workers. For example, F cannot be assigned to tasks T2 and T3 (because they are currently being done by workers A and B). What is the capacity of this process with workers F and G included?
- The following table contains order-dependent setup times for four jobs. For safety reasons, jobC cannot follow job A, nor can job A follow job C. Determine the processing sequence that willminimize the total setup time. (Hint: There are 12 alternatives.)Following Job’sSetup Time (hrs.)SetupTime (hrs.) A B C DPrecedingjobA 2 — 5 × 4B 1 7 — 3 2C 3 x 2 — 2D 2 4 3 6 —A furniture factory makes two types of wooden tables,large and small. See the flowchart below.SetupTime,MinutesRun Timeper Piece,MinutesCapacity,Piecesper HourWood cutting 30 5 15Make four legs 60 10 10Make tops 60 12 8Finish the wood 20 8 12Assemble and ship 20 17 14 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 the bottleneck?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?One approach that can be effective in reducing the impact of production bottlenecks in a job shopor batch operations setting is to use smaller lot sizes.a. What is the impact of a production bottleneck?