6. Six salesmen are to be allocated to six sales regions so that the cost of allocation of
the job will be minimum. Cost matrix is given below:
a) Find the allocation to give the minimum cost. What is the cost.
b) If the matrix represents earnings, find the optimum earnings.
1
15
40
25
25
30
10
A
10
E
F
30
5
60
20
70
25
45
10
35
40
30
25
20
65
10
5
40
10
16
25
25
40
50
45
20
60
50
15
7.
Solve the following non-linear programming problem using the Kuhn-Tucker conditions.
[10 M]
Subject to
Marimize Z=3N7 + 14X,N2 -8Ng
3X, +6N2 ≤ 72
X and X ≥ 0
8
Consider the following payoff matrix with respect to Player A and solve it optimally
[1
1
A
6 9
4
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