Homework Sourse157 162 159 165 167 174 181 179 181 175 76 74 69 73 70 67 59
Solution
Following table illustrates average time for each activity for each of the two workers .
Average time of an activity = Sum of 5 sets of data for each activity / 5
Times - Worker 1 ( Minutes)
Times - Worker 2 ( Minutes )
Activity
1
2
3
4
5
Average ( Minutes)
1
2
3
4
5
Average ( Minutes)
Check material and store in warehouse
15.7
16.2
15.9
16.5
16.7
16.2
17.4
18.1
17.9
18.1
17.5
17.8
Move material to the assembly line
7.6
7.4
6.9
7.3
7
7.24
6.7
5.9
6.9
6.5
6.1
6.42
Production in assembly line
20.2
19.8
20.1
18.9
18.7
19.54
16.9
17.5
17.3
16.8
17.4
17.18
Quality control in assembly line
3.7
4.2
4.6
3.9
4.4
4.16
5.3
5.3
4.9
5
5.3
5.16
Store product in boxes
5.7
6.2
6
5.8
8.9
6.52
4.6
4.9
4.5
5.2
5
4.84
Deliver to customers
17.2
16.7
17.5
16.9
17.1
17.08
15.9
16.2
15.8
16.5
15.6
16
TOTAL:
70.74
TOTAL:
67.4
The sum of all activities for worker 1 = 70.74 minutes per unit
The sum of all activities for worker 2 = 67.4 minutes per unit
TIME FOR WORKER 1 = 70.74 MINUTES PER UNIT
TIME FOR WORKER 2 = 67.4 MINUTES PER UNIT
AVERAGE TIME = ( 70.74 + 67.4)/2 = 69.07 MINUTES PER UNIT
Productivity for worker 1 = 60/70.74 units per hour = 0.848 units per hour
Productivity for worker 2 = 60/67.4 units per hour = 0.890 units per hour
Average Productivity = ( 0.848 + 0.890 )/2 units per hour = 0.869 units per hour
Gross salary of Euro 10.5 per hour needs to be distributed amongst 2 workers based on their productivities. Higher the productivity , more will be the salary.
Thus ,
Salary for worker 1 = 0.848 / ( 0.848 + 0.890) x 10.5 = 0.848 x 10.5/ 1.738 = Euro 5.123
Salary for Worker 2 = 0.890 / ( 0.848 + 0.890) x 10.5 = 0.890 x 10.5/ 1.738 = Euro 5.377
| Times - Worker 1 ( Minutes) | Times - Worker 2 ( Minutes ) | |||||||||||
| Activity | 1 | 2 | 3 | 4 | 5 | Average ( Minutes) | 1 | 2 | 3 | 4 | 5 | Average ( Minutes) |
| Check material and store in warehouse | 15.7 | 16.2 | 15.9 | 16.5 | 16.7 | 16.2 | 17.4 | 18.1 | 17.9 | 18.1 | 17.5 | 17.8 |
| Move material to the assembly line | 7.6 | 7.4 | 6.9 | 7.3 | 7 | 7.24 | 6.7 | 5.9 | 6.9 | 6.5 | 6.1 | 6.42 |
| Production in assembly line | 20.2 | 19.8 | 20.1 | 18.9 | 18.7 | 19.54 | 16.9 | 17.5 | 17.3 | 16.8 | 17.4 | 17.18 |
| Quality control in assembly line | 3.7 | 4.2 | 4.6 | 3.9 | 4.4 | 4.16 | 5.3 | 5.3 | 4.9 | 5 | 5.3 | 5.16 |
| Store product in boxes | 5.7 | 6.2 | 6 | 5.8 | 8.9 | 6.52 | 4.6 | 4.9 | 4.5 | 5.2 | 5 | 4.84 |
| Deliver to customers | 17.2 | 16.7 | 17.5 | 16.9 | 17.1 | 17.08 | 15.9 | 16.2 | 15.8 | 16.5 | 15.6 | 16 |
| TOTAL: | 70.74 | TOTAL: | 67.4 |
