What cycle time is required to satisfy the required output? What is the theoretical minimum number of stations
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A company is setting up an assembly line to produce 90 units per hour. The table below identifies the work elements, times, and immediate predecessors.
Work Element |
Time (Sec.) |
Immediate Predecessor(s) |
A |
25 |
- |
B |
18 |
A |
C |
20 |
A |
D |
5 |
B, C |
E |
12 |
C |
F |
8 |
E |
G |
16 |
D, F |
H |
12 |
G |
- What cycle time is required to satisfy the required output?
- What is the theoretical minimum number of stations?
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- An assembly plant for the Blood Pressure RX, a portable blood pressure device, has 400 minutes available daily in the plant for the device, and the average demand is 80 units per day. Final assembly requires 6 separate tasks. Information concerning these tasks is given in the following table. Task Performance Time (minutes) Task Must Follow Task Listed Below A 4 - B 1 - C 1 A, B D 3 C E 4 D F 2 E b) Given the demand, what is the cycle time for this operation? The cycle time for this operation is enter your response here minutes/unit (enter your response as a whole number). c) What is the theoretical minimum number of workstations? The theoretical minimum number of workstations is enter your response here stations (enter your response as a whole number and, if your unrounded answer includes decimal values,…A production process at Kenneth Day Manufacturing is shown in Figure S7.9. The drilling operation occurs separately from, and simultaneously with, sawing and sanding, which are independent and sequential operations. A product needs to go through only one of the three assembly operations (the operations are in parallel).a) Which operation is the bottleneck?b) What is the bottleneck time?c) What is the throughput time of the overall system?d) If the firm operates 8 hours per day, 20 days per month, whatis the monthly capacity of the manufacturing process?The trim line at PW is a small subassembly line that, alongwith other such lines, feeds int1, o the final chassis line.The entire assembly line, which consists of more than 900workstations, is to make PW’s new E cars. The trim line itselfinvolves only 13 work elements and must handle 20 cars perhour. Work-element data are as follows:Work Element Time (Sec) Immediate Predecessor(s)A 2.4 NoneB 0.5 NoneC 2.1 NoneD 1.8 CE 1.1 BF 0.9 A G 2 AH 0.7 FI 0.7 DJ 1.8 H, EK 1.3 JL 1.9 GM 1.1 L, I, Ka. Draw a precedence diagram.b. What cycle time (in minutes) results in the desired outputrate?c. What is the theoretical minimum number of stations?d. Use the longest work element decision rule to balance theline and calculate the efficiency of your solution.e. Use the most followers work element decision rule tobalance the line and calculate the efficiency of yoursolution.
- A production schedule requires six work stations. However, there are nine work tasks to be performed to produce a unit of output. The warchouse is operated for seven days a week and three 8-hour shifts per day. The desired output per week is 1.728 units. The tasks, precedence relationships and the approximate amount of time required to carry out cach task is presented below. Use this information to answer questions 62 - 69 Task 1. Duration (min) 5.0 Immediate Preceding Task 3 4 4.5 2.0 3.0 3.5 2,3 4,5 1.5 2.5 7. 4.8 2.5 62. What is the available time for production in minutes? (a) 1260 (b) 1440 (c) 3,360 (d) 10080 63. The required cycle time for this operation is: (а) 2.58 (b) 5.83 (c) 7.25 (d) 9.42 64. Which activity or set of activities should be assigned to station 2? (a) 2 only (b) I and 2 (c) 3 only (d) 3 and 4 65. Which activity or set of activities should be assigned to station 4? (a) 3 only (b) 3 and 4 (c) 5 and 6 (d) 7 only 66. Which activity or set of activities should be…Francis Johnson's plant needs to design an efficient assembly line to make a new product. The assembly line needs to produce 15 units per hour, and there is room for only five workstations. The tasks and the order in which they must be performed are shown in th following table. Tasks cannot be split, and it would be too expensive to duplicate any task. TASK TIME (MINUTES) IMMEDIATE PREDECESSOR rint TASK A 2.0 B 2.0 3.0 1.0 А, В, с 3.0 2.0 G 3.0 b. What is the workstation cycle time required to produce 15 units per hour? (Round your answer to 1 decimal place.) Workstation cycle time minutes d. Balance the line to use the fewest possible workstations to meet the cycle time found in part b. Use whatever method you feel is appropriate. What is the efficiency of your line balance, assuming the line operates at the cycle time from part b? (Round your answer to 1 decimal place.)3. SCM301 Warehouse takes orders from 7 a.m. to 7 p.m. The manager wants to analyze the process and has provided the following process flow diagram. There are three steps required to ship a customer order. The first step is to take the order from a customer. The second step is to pick the order for the customer, and then they have to pack the order to ready it for shipping. The order-taking step works at a maximum rate of 100 customer orders per hour. Order picking works at a maximum of 80 per hour, and packing works at 60 per hour. Customers, Take Orders 100 Customers/ hour Customer Orders, Pick Orders 80 Customers/ hour Picked Orders Pack Orders 60 Customers/ hour Wait for Shipper SCM301 Warehouse wants to figure out the following: A. What is the current maximum output of the process assuming that no one works overtime? (For your answers to these questions, assume that everyone can start working at 7 a.m.) B. How long will the picking and packing operations have to work if we have a…
- The Action Toy Company has decided to manufacture a new train set, the production of which is broken into six steps. The demand for the train is 4,600 units per 40-hour workweek: Task A BCDEF C Performance Time (seconds) 22 30 12 15 12 27 Predecessors A A A B, C D, E This exercise only contains part a. a) The correct precedence diagram for the assembly line is presented in C Fig. 1 Fig. 2 Fig. 3 B EThe Action Toy Company has decided to manufacture a new train set, the production of which is broken into six steps. The demand for the train is 4,800 units per 40-hour workweek: Task A BCDEF Performance Time (seconds) 20 30 14 14 10 30 Predecessors A A A B, C D, E This exercise only contains part a. a) The correct precedence diagram for the assembly line is presented in CBD Fig. 1 A Fig. 2 Fig. 3 B B E B N o 勺 NThe City Commission of Nashville has decided to build a botanical garden and picnic area in the heart of the city for the recreation of its citizens. The precedence table for all the activities required to construct this area successfully is as follows: Code Description A BCDEFGH Find location; determine resource requirements Requisition of lumber and sand Dig and grade Saw lumber into appropriate sizes Position lumber in correct locations Nail lumber together Put sand in and under the equipment Put dirt around the equipment Put grass all over the garden, landscape, paint Legend Code T Time (hrs) 15 55 105 30 20 15 25 15 25 ABCDEFGH Activity Planning Purchasing Excavation Sawing Placement Assembly Infill Outfill Decoration Immediate Predecessor(s) None A A B Refer to the legend for the activity that corresponds to each code. Using the line drawing tool, draw a Gantt chart for activities E through I of the project. D, C E F F G, H X C A+ B- C- D- E- F- Q H- 1- O. 0 20 40 60 80 100 120…
- From the standpoint of the scheduling process, how are resource limitations treated in an MRP application? How are they treated in a synchronous manufacturing application?A paced assembly line has been devised to manufacture calculators, as the following data show: LOADING... Station Work Element Assigned Work Element Time (min) S1 A 4.0 S2 D, E 0.9, 1.5 S3 C 5.0 S4 B, F, G 1.1, 1.0, 1.3 S5 H, I, J 1.1, 0.5, 1.8 S6 K 4.0 a. What is the maximum hourly output rate from this line? (Hint: The line can only go as fast as its slowest workstation.) The maximum hourly output rate is nothing calculators per hour. (Enter your response as an integer.) B. What cycle time corresponds to this maximum output rate? C. If a worker is at each station and the line operates at this maximum output rate, how much idle time is lost during each? 10-hour shift? D. What is the line's efficiency?Management wants to design an assembly line that will turn out 800 videotapes per day. There will be eight working hours in each day. The industrial engineering staff has assembled the information below: A) Determine the maximum and minimum cycle times.B) Determine the optimum cycle time.C) What is the minimum number of stations needed?D) Draw the precedence diagram.E) Assign tasks to stations in order of most following tasks first. Submit an Excel file based on Chapter 6 Excel Template to indicate your computation.