Consider the assembly line below. The three fabrication operations run in parallel, such that each batch of 20 units only needs to go through one of the three fabrication operations. After that, each batch needs to go through both assembly operations, which occur simultaneously (specifically, some components for each unit are assembled in the Assembly 1 area while others are assembled in the Assembly 2 area). The units are packaged and made ready shipment in the final stage. What is the bottleneck time per batch of this operation? Fabrication 18 min/batch Fabrication 18 min/batch Fabrication 18 min/batch Assembly 1 8 min/bat ch Assembly 2 2 min/batch Packaging 4 min/batch
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- An assembly line requires two components: gadjits and wi-djits. Gadjits are produced by center 1 and widjits by center 2.Each unit of the end item, called a jit-together, requires three gadjits and two widjits, as shown in Figure 6.13. The dailyproduction quota on the assembly line is 800 jit-togethers. The container for gadjits holds 80 units. The policy variablefor center 1 is set at 0.09. The average waiting time for a con-tainer of gadjits is 0.09 day, and 0.06 day is needed to producea container. The container for widjits holds 50 units, and thepolicy variable for center 2 is 0.08. The average waiting timeper container of widjits is 0.14 day, and the time required toprocess a container is 0.20 day.a. How many containers are needed for gadjits?b. How many containers are needed for widjits?Suppose a final assembly is produced by assembling two components. THE The first component, A, is produced internally and goes through three process steps, which are stamping, forging and machining, with scrap estimates of 10%, 15% and 25%, respectively. For every three produced units of component A, two are used in the final assembly and one is separate to meet spare parts needs. The second component, B, which is used exclusively in final assembly, is purchased from a supplier external and inspected on arrival; 2% do not pass inspection. A unit of the component purchased is required for each final assembly. The final assembly process produces 5% of scraps. Spare parts demands for component A and final Su assembly match to 1,000 and 5,000 units, respectively. How many input units are needed for produce component A, and how many units of component B should the firm buy?These four steps make up what is called a machine cycle but is more often known as a process loop. When it comes to machine cycles, what factors do most people prioritise? Should I be concerned that I may have to replace machine cycle parts when they wear out? Is it feasible that doubling the number of modules available would make toggling between them easier?
- Suppose a work center has a setup plus run time of 30 minutes to make 50 parts. Also assume it takes 10 minutes to move a standard container of 50 parts to the next work center and the demand rate is one part per minute throughout the day.a. Schedule this situation by drawing a picture of when work center A should be producing and idle and when movements of containers take place from A to B, the using work center.b. How many standard containers are needed for this part to circulate from the picture in part a?c. Use the formula n = DT ÷ C to calculate the number of containers.Sawing 20 min/unit Sanding 20 min/unit Drilling 32 min/unit Welding 30 min/unit Assembly 93 min/unit Assembly 93 min/unit Assembly 93 min/unit 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 at stations, what is the process time of the system (in min/unit)?The diagram below represents a process where two components are made at stations A1 and A2 (one component is made at A1 and the other at A2). These components are then assembled at station B and moved through the rest of the process, where some additional work is completed at stations C, D, and E. Assume that one and only one person is allowed at each station. Assume that the times given below for each station represent the amount of work that needs to be done at that station by that person, with no processing time variation. Assume that inventory is not allowed to build in the system. Al 0.3 min. A2 0.4 min. B 0.75 min. D 0.65 min. 0.60 min. E 0.55 min. What is the average hourly output of the process when it is in normal operation? Average hourly output units
- The diagram below represents a process where two components are made at stations A1 and A2 (one component is made at A1 and the other at A2). These components are then assembled at station B and moved through the rest of the process, where some additional work is completed at stations C, D, and E. Assume that one and only one person is allowed at each station. Assume that the times given below for each station represent the amount of work that needs to be done at that station by that person, with no processing time variation. Assume that inventory is not allowed to build in the system. A1 0.30 min. B 0.75 min. 0.65 min. 0.90 min. 0.55 min. A2 0.40 min. What is the average hourly output of the process when it is in normal operation? (Round your answer to the nearest whole number.) Average hourly output unitsThese four elements make up what is often known as a machine cycle or process loop. Which parts of a machine's cycle are the most crucial? Do you have to worry about the various parts of a machine cycle needing replacement? Is there a way to solve the problem of switching between modules by adding another one to the system?A metal fabrication shop has a single punch press. There are currently three partsthat the shop has agreed to produce that require the press, and it appears that theywill be supplying these parts well into the future. You may assume that the press isthe critical resource for these parts, so that we need not worry about the interactionof the press with the other machines in the shop. The relevant information here is: Part Number Demand/year Set up Cost ($) Cost per Unit ($) Production rate/year 1 2,500 80 16 45,000 2 5,500 120 18 40,000 3 1,450 60 22 26,000 Holding costs are based on an 18 percent annual interest rate, and the products are to be produced in sequence on a rotation cycle. Setup times can be considered negligible. What is the optimal lot size of part 2?
- 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). 6 units/hr Sawing 2.5 units/hr Sanding Drilling 1.8 units/hr Welding 7 units/hr Assembly 0.7 units/hr Assembly 0.7 units/hr Assembly 0.7 units/hrThese four elements make up what is often known as a machine cycle or process loop. I was wondering what others thought were the most important parts of machine cycles. Do you have to worry about changing various parts of a machine cycle? Is there a way to solve the problem of switching modules by adding another module?The final products are two assemblies requiring three components - Assembly A: 4 x component 1, 3 x component 2 - Assembly B: 2 × component 2, 1 × component 3 1, = ? (4) Demand: d, - 0.06 100,000 (3) , = ? d = 0.03 (2) Demand: d, - 0.05 B 50,000 (1) I = ? dg- 0.02 dy = 0.04 49