10 9 3 10 5 0 Col 10 9 3 10 5 -- Penalty -- 9 3 10 5 -- The maximum penalty, 10, occurs in column D4. The minimum cij in this column is c34c34 = 11. The maximum allocation in this cell is 4. It satisfy supply of S3 and adjust the demand of D4 from 5 to 1 (5 - 4 = 1). Row D1 D2 D3 D4 D5 Ddummy Supply Penalty 10 | 3 S1 13 10 22 29 18 0 5 | 8 | 8 | 13 | 1 S2 14 13 16 21 10000 0 6 | 3 | 3 | 0 | 3 S3 3(3) 0 10000 11(4) 6 0 0 | 6 | -- | 9 | 2 S4 18 9 19 23 11 0 4 | 2 | 2 | 24 | 4 S5 30 24 34 36 28 0(2) 1 | 4 | 4 | Demand 0 5 4 1 6 0 10 9 3 10 5 0 Col 10 9 3 10 5 -- Penalty -- 9 3 10 5 -- -- 1 3 2 7 -- The maximum penalty, 8, occurs in row S1. The minimum cij in this row is c12 = 10. The maximum allocation in this cell is 5. It satisfy supply of S1 and adjust the demand of D2 from 5 to 0 (5 - 5 = 0). Table-5
Col Penalty 10 10 -- 9 9 9 3 3 3 10 10 10 5 5 5 0 -- -- The maximum penalty, 10, occurs in column D4. The minimum cij in this column is c34c34 = 11. The maximum allocation in this cell is 4. It satisfy supply of S3 and adjust the demand of D4 from 5 to 1 (5 - 4 = 1). D1 D2 D3 D4 D5 Ddummy Supply Row Penalty S1 13 10 22 29 18 0 5 10 | 3 | 8 | 8 | S2 14 13 16 21 10000 0 6 13 | 1 | 3 | 3 | S3 3(3) 0 10000 11(4) 6 0 0 0 | 3 | 6 | -- | S4 18 9 19 23 11 0 4 9 | 2 | 2 | 2 | S5 30 24 34 36 28 0(2) 1 24 | 4 | 4 | 4 | Demand 0 5 4 1 6 0 Col Penalty 10 10 -- -- 9 9 9 1 3 3 3 3 10 10 10 2 5 5 5 7 0 -- -- -- The maximum penalty, 8, occurs in row S1. The minimum cij in this row is c12 = 10. The maximum allocation in this cell is 5. It satisfy supply of S1 and adjust the demand of D2 from 5 to 0 (5 - 5 = 0). Table-5
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