A department head has four tasks to be performed and three subordinates. The subordinates differ in efficiency. The estimates of the time, each subordinate would take to perform, are given below in the matrix. How should he allocate the tasks, one to each man, so as to minmize the total man hours ? Subordinates 1 2 I 26 15 II 13 17 Tasks III 35 20 15 IV 18 30 20 3.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A department head has four tasks to be performed and
three subordinates. The subordinates differ in
efficiency. The estimates of the time, each subordinate
would take to perform, are given below in the matrix.
How should he allocate the tasks, one to each man, so
as to minmize the total man hours ?
Subordinates
1
2
3
9.
26
15
II
13
17
6.
Tasks
III
35
20
15
IV
18
30
20
Transcribed Image Text:A department head has four tasks to be performed and three subordinates. The subordinates differ in efficiency. The estimates of the time, each subordinate would take to perform, are given below in the matrix. How should he allocate the tasks, one to each man, so as to minmize the total man hours ? Subordinates 1 2 3 9. 26 15 II 13 17 6. Tasks III 35 20 15 IV 18 30 20
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