Question
For the following assignment problem minimize total man hours:
SubordinatesRequired hours for task
IIIIIIIV
A7252610
B1227325
C37181714
D1825239
Subtract the $\square$ element of each $\square$ from every element of that $\square$
SubordinatesRequired hours for task
IIIIIIIV
A018193
B924022
C23430
D916140
Subtract the smallest element in each column from $\square$ of that column.
SubordinatesRequired hours for task
IIIIIIIV
A$\square$$\square$19$\square$
B$\square$$\square$0$\square$
C$\square$$\square$3$\square$
D$\square$$\square$14$\square$
The lines covering all zeros is $\square$ to the order of matrix $\square$

The assignment is made as follows:
SubordinatesRequired hours for task
IIIIIIIV
A014193
B920022
C23030
D912140
Optimum solution is shown as follows:
$
A \rightarrow \square, \square \rightarrow III , C \rightarrow \square, \square \rightarrow IV
$
Minimum hours required is $\square$ hours

Answer

Subordinates Required hours for task
I II III IV
A 7 25 26 10
B 12 27 3 25
C 37 18 17 14
D 18 25 23 9

Subtract the smallest element of each row from every element of that row

Subordinates Required hours for task
I II III IV
A 0 18 19 3
B 9 24 0 22
C 23 4 3 0
D 9 16 14 0

Subtract the smallest element in each column from each element of that column.

Subordinates Required hours for task
I II III IV
A 0 14 19 3
B 9 20 0 22
C 23 0 3 0
D 9 12 14 0

Subordinates Required hours for task
I II III IV
A 0 14 19 3
B 9 20 0 22
C 23 0 3 0
D 9 12 14 0

The lines covering all zeros is equal to the order of matrix 4.

The assignment is made as follows:

Subordinates Required hours for task
I II III IV
A 0 14 19 3
B 9 20 0 22
C 23 0 3 0
D 9 12 14 0

Optimum solution is shown as follows:

A → I, B → III, C → II, D → IV

Minimum hours required is 7 + 3 + 18 + 9 = 37 hours

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