25 May Question 10.1 In solving maximization assignment problems,
Question
10.1 In solving maximization assignment problems,
(a) just reverse all the decision rules used in the minimizing algorithm (if it says subtract, now add, and so on).
(b) convert the problem to an equivalent minimization problem.
(c) use the Australian transformation process and convert the data.
(d) all of the above
(e) none of the above
}
10.2 Find the solution to the transportation problem depicted below.
| Table 10-34 | ||||||
| To==> | 1 | 2 | 3 | Dummy | Supply | |
| From | A | | 10 | | 8 | | 12 | | 0 | 50 |
| B | | 6 | | 7 | | 4 | | 0 | 75 | |
| C | | 10 | | 9 | | 6 | | 0 | 125 | |
| Demand | 60 | 40 | 100 | 50 |
(a)
| Table 10-34 a | ||||||
| To==> | 1 | 2 | 3 | Dummy | Supply | |
| From | A | | 10 | | 8
40 |
| 12 | | 0
10 |
50 |
| B | | 6
60 |
| 7 | | 4
15 |
| 0 | 75 | |
| C | | 10 | | 9 | | 6
85 |
| 0
40 |
125 | |
| Demand | 60 | 40 | 100 | 50 |
(b)
| Table 10-34 b | ||||||
| To==> | 1 | 2 | 3 | Dummy | Supply | |
| From | A | | 10 | | 8
20 |
| 12 | | 0
30 |
50 |
| B | | 6
60 |
| 7 | | 4
15 |
| 0 | 75 | |
| C | | 10 | | 9
20 |
| 6
85 |
| 0
20 |
125 | |
| Demand | 60 | 40 | 100 | 50 |
(c)
| Table 10-34 c | ||||||
| To==> | 1 | 2 | 3 | Dummy | Supply | |
| From | A | | 10
40 |
| 8 | | 12 | | 0
10 |
50 |
| B | | 6 | | 7
15 |
| 4
25 |
| 0
35 |
75 | |
| C | | 10
20 |
| 9 | | 6
100 |
| 0
5 |
125 | |
| Demand | 60 | 40 | 100 | 50 |
(d)
| Table 10-34 d | ||||||
| To==> | 1 | 2 | 3 | Dummy | Supply | |
| From | A | | 10
50 |
| 8 | | 12 | | 0 | 50 |
| B | | 6 | | 7 | | 4
75 |
| 0 | 75 | |
| C | | 10
10 |
| 9
40 |
| 6
25 |
| 0
50 |
125 | |
| Demand | 60 | 40 | 100 | 50 |
(e) none of the above
}
10.3 Solve the following transportation table:
| Table 10-35 | ||||||
| To==> | 1 | 2 | 3 | Dummy | Supply | |
| From | A | | 5
50 |
| 8 | | 8 | | 0 | 40 |
| B | | 6 | | 9 | | 4
75 |
| 0 | 85 | |
| C | | 6
10 |
| 9
40 |
| 6
25 |
| 0
50 |
110 | |
| Demand | 50 | 60 | 85 | 40 |
(a)
| Table 10-35a Solution? | ||||||
| To==> | 1 | 2 | 3 | Dummy | Supply | |
| From | A | | 5
50 |
| 8 | | 8 | | 0 | 40 |
| B | | 6 | | 9 | | 4
75 |
| 0 | 85 | |
| C | | 6
10 |
| 9
40 |
| 6
25 |
| 0
50 |
110 | |
| Demand | 50 | 60 | 85 | 40 |
(b)
| Table 10-35b Solution? | ||||||
| To==> | 1 | 2 | 3 | Dummy | Supply | |
| From | A | | 5
50 |
| 8 | | 8 | | 0 | 40 |
| B | | 6 | | 9 | | 4
75 |
| 0 | 85 | |
| C | | 6
10 |
| 9
40 |
| 6
25 |
| 0
50 |
110 | |
| Demand | 50 | 60 | 85 | 40 |
(c)
| Table 10-35c Solution? | ||||||
| To==> | 1 | 2 | 3 | Dummy | Supply | |
| From | A | | 5
40 |
| 8 | | 8 | | 0 | 40 |
| B | | 6
10 |
| 9
60 |
| 4
15 |
| 0 | 85 | |
| C | | 6 | | 9 | | 6
70 |
| 0
40 |
110 | |
| Demand | 50 | 60 | 85 | 40 |
(d)
| Table 10-35d Solution? | ||||||
| To==> | 1 | 2 | 3 | Dummy | Supply | |
| From | A | | 5 | | 8 | | 8 | | 0
40 |
40 |
| B | | 6 | | 9 | | 4
85 |
| 0 | 85 | |
| C | | 6
50 |
| 9
60 |
| 6 | | 0 | 110 | |
| Demand | 50 | 60 | 85 | 40 |
(e) none of the above
}
10.4 Use Vogel’s approximation to find the solution to the transportation problem shown in Table
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