Question: PLEASE ANSWER ALL THE LETTERS and do the rounding correctly as the question requires. As part of a major plant renovation project, the industrial engineering
PLEASE ANSWER ALL THE LETTERS and do the rounding correctly as the question requires.
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 260 units per 7-hour day. Task times and precedence relationships are as follows:
| Task | Duration (minutes) | Immediate Predecessor |
| a | 0.3 | - |
| b | 0.4 | a |
| c | 0.5 | b |
| d | 0.3 | -
|
| e | 1.6 | d |
| f | 1.3 | c |
| g | 1.4 | e, f |
Do each of the following: a. Determine the number of followers for each task
| Number of tasks following task a | ...... |
| Number of tasks following task b | ...... |
| Number of tasks following task c | ...... |
| Number of tasks following task d | ...... |
| Number of tasks following task e | ..... |
| Number of tasks following task f | ...... |
| Number of tasks following task g | ...... |
b. Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time. (Round all answers up to one decimal point. For example, round 1.83 up to 1.9.)
| Minimum cycle time | ..... | minutes per unit |
| Maximum cycle time | ..... | minutes per unit |
| Calculated cycle time | ..... | minutes per unit |
c. Determine the minimum number of stations needed. (Use your rounded cycle time from Part b. Round up your answer to a whole number. Note that rounding up to one decimal point may reduce output to slightly less than 260 and this is fine.)
| Minumum number of stations | ...... |
d. Use the calculated cycle time. Assign tasks to workstations on the basis of most following tasks. Use shortest processing time as a tiebreaker. If ties still exist, assume indifference in choice.
| Work Stations | Following Tasks |
| 1 | |
| 2 | |
| 3 | |
| 4 |
e. Compute the percent idle time and percent efficiency for the assignment in part d. Note: if the calculated cycle time and the actual bottleneck station time are different, use the actual bottleneck time in your calculations. (Round your answers to 2 decimal places
| Idle percentage | ....% |
| Efficiency | .....% |
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