Question: An assembly line is to be designed to operate 8.5 hours per day and supply a steady demand of 450 units per day. Here are
An assembly line is to be designed to operate 8.5 hours per day and supply a steady demand of 450 units per day. Here are the tasks and their performance times:
| TASK | PRECEDING TASKS | PERFORMANCE TIME (SECONDS) | TASK | PRECEDING TASKS | PERFORMANCE TIME (SECONDS) |
| a | 38 | g | d | 28 | |
| b | 18 | h | e | 10 | |
| c | 28 | i | f | 43 | |
| d | a | 23 | j | g | 8 |
| e | b | 21 | k | h, i | 48 |
| f | c | 13 | l | j, k | 8 |
b. What is the workstation cycle time?
Workstation cycle time _____ seconds per unit
c. What is the theoretical minimum number of workstations? (Round up your answer to the next whole number.)
Minimum number of workstations ____ seconds per unit
d. Assign tasks to workstations using the longest operating time. (Leave no cells blank - be certain to enter "0" wherever required.)
| Workstation | Task (choose the longest from each box) | Idle Time |
| 1 | a)a-d, b)c-g, c)b-e-f-j, d) k-l |
|
| 2 | a)d, b)c-g, c)f-d, d) c-d |
|
| 3 | a)b-e-f-j, b)e, c)h-f-g, d)f |
|
| 4 | a)h, b)h-g-j, c)i-h, d)g |
|
| 5 | a)l, b) i-k-l, c) j-l, d)k-l |
|
e. What is the efficiency of your line balance? (Round your answer to 1 decimal place.)
Efficiency___%
f. Suppose demand increases by 10 percent. How would you react to this? Assume that you can operate only 8.5 hours per day in regular time. (Round your answers to the nearest whole number.)
________cycle time to _____________seconds per unit. Another option is to work ____________minutes overtime.
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