a. Determine the number of followers for each task. (Please answer number of tasks following task for A-G)
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As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 250 units per 8-hour day. Task times and precedence relationships are as follows:
Task | Duration (minutes) |
Immediate Predecessor |
a | 0.5 | - |
b | 0.4 | a |
c | 0.5 | b |
d | 0.3 | - |
e | 1.8 | d |
f | 1.9 | c |
g | 2 | e, f |
Do each of the following:
a. Determine the number of followers for each task.
![](/static/compass_v2/shared-icons/check-mark.png)
Assigning each task to a workstation within an assembly line to fulfill the necessary production rate and to achieve a minimum amount of idle time is known as assembly line balance.
The advantages of assembly line balancing are:
- Potentially higher earnings and lower costs
- Improved effectiveness
- A rise in productivity
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- Sue Helms Appliances wants to establish an assem-bly line to manufacture its new product, the Micro Popcorn Popper. The goal is to produce five poppers per hour. The tasks,task times, and immediate predecessors for producing one MicroPopcorn Popper are as follows:TASK TIME (min) IMMEDIATEPREDECESSORSA 10 —B 12 AC 8 A, BD 6 B, CE 6 CF 6 D, Ea) What is the theoretical minimum for the smallest number ofworkstations that Helms can achieve in this assembly line?b) Graph the assembly line, and assign workers to workstations.Can you assign them with the theoretical minimum?c) What is the efficiency of your assignment?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…The 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 A B с D E F G H I Description Find location; determine resource requirements Requisition of lumber and sand Dig and grade Saw lumber into appropriate sizes Position lumber in correct locations Time (hrs) 20 60 100 30 20 10 20 10 30 Nail lumber together Put sand in and under the equipment Put dirt around the equipment Put grass all over the garden, landscape, paint Refer to the legend for the activity that corresponds to each code. Using the line drawing tool, draw a Gantt chart for activites E through I of the project. Immediate Predecessor(s) None A A B D, C E F F G, H A B C- D- E F G H- H 0 20 40 60 80 100 120 140 160 180 200 Q ✔
- The desired daily ouput for an assembly line is 420 units. This assembly line will operate 595 minutes per day. The following table contains information on the products task times and precedence relationships Task. Task time-seconds Immediate predecessor A. 35 - B. 40 A C 30 A D 40 B E 20 C F 70 C G 45 E-F H 30 D-G The required workstation cycle time to meet the desired output time is 85 seconds Balance this line using the largest number of following tasks. Use the longest task time as a secondary criterion The answer gives only 4 workstations as option Have to fill out following Workstation. Task Idle time 1 ?? ?? 2 ?? ?? 3…Illinois Furniture, Inc., produces all types of office furniture. The "Executive Secretary" is a chair that has been designed using ergonomics to provide comfort during long work hours. The chair sells for $130. There are 480 minutes available during the day, and the average daily demand has been 48 chairs. There are eight tasks: Task A BCDEFGH Performance Time (mins) 5 189CS SNS 7 6 6 7 6 7 Task Must Follow Task Listed Below This exercise only contains part a. a) The correct precedence diagram is present in 2ooww A, B C D E E F, G C Figure 1 Figure 2 Figure 3 GO-D-680 FThe 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 G I 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 Time (hrs) 20 60 100 35 20 10 20 30 Immediate Predecessor(s) None A A B D, C E F F- G, H 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.
- Illinois Furniture, Inc., produces all types of office furniture. The "Executive Secretary" is a chair that has been designed using ergonomics to provide comfort during long work hours. The chair sells for $130. There are 480 minutes available during the day, and the average daily demand has been 52 chairs. There are eight tasks: Performance Time Task Must Follow Task (mins) Task Listed Below A 4. B 7 6 А, В D E 7 D F 6 G 8 Station 1 H Station 7 This exercise only contains parts b, c, d, e, f, and g. Station 5 b) The cycle time for the production of a chair = 9.23 minutes (round your response to two decimal places). Station 3 c) The theoretical minimum number of workstations = 6 (round your response up to the next whole number). Station 6 d) The assignment of tasks to workstations should be: (Hint: Number workstations sequentially in terms of precedence relationships and c Station 4 able tasks.) Station 2 Task Work: Station 8 A BFrancis 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.)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?
- 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 EA company needs to rebalance a product layout for producing new plastic license plates. They plan to use the assembly line six hours in order to meet projected demand of 2,160 license plates each day. The following table describes the tasks involved in the production of this product: Without regard to projected demand, what is the maximum possible cycle time for this assembly line? Task Time (secs) Immediate Predecessor a 3 none b 4 none c 5 a,b d 7 none e 9 c,dd. What is the efficiency of your line balance, assuming it is running at the cycle time in part b? Note: Round your answer to 1 decimal place. Efficiency %
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