Ethio-telecom six salesmen are to be allocated to six sales regions so that the cost of allocation of
the job will be minimum. Each salesman is capable of doing the job at different costs in each
region. The cost (in birr) matrix is given below.
I II III IV V VI
Tigray 15 35 0 25 10 45
Afar 40 5 45 20 15 20
Amhara 25 60 10 65 25 10
Oromia 25 20 35 10 25 60
Harari 30 70 40 5 40 50
Somali 10 25 30 40 50 15
A. Find the allocation to give minimum cost. What is the minimum?
B. If the figures given in the above table represent the earning of each salesman in
each region, then find an allocation so that the earning will be maximum. Also,
work out this maximum possible earning.
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