## Transportation Problem Parameter TableConsider the transportation problem with the given parameter table (where $ M $ is a large positive number):| | Destination 1 | Destination 2 | Destination 3 | Destination 4 | Destination 5 | Destination 6 | Supply ||-------|---------------|---------------|---------------|---------------|---------------|---------------|--------|| **Source 1** | 13 | 10 | 22 | 29 | 18 | 0 | 5 || **Source 2** | 14 | 3 | 16 | 21 | $ M $ | 0 | 6 || **Source 3** | 3 | 0 | 0 | $ M $ | 11 | 0 | 7 || **Source 4** | 18 | 9 | 19 | 23 | 11 | 0 | 4 || **Source 5** | 30 | 24 | 34 | 36 | 28 | 0 | 3 |**Demand:** 3, 5, 4, 5, 6, 2### Tasks:**(a)** Use the northwest corner rule manually to obtain a complete initial basic feasible (BF) solution. Determine the objective value for this solution and count the number of basic variables in it.**(b)** Use Vogel’s approximation method manually to select the first basic variable for an initial BF solution. Note that you only need to find the first BF for this initial solution.

NWCM rule means assignment from top left corner first. Let M = 50 (randomly taken positive…

Answered: 2. Consider the transportation problem…

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9.2-6. Consider the transportation problem having the following parameter table: Plants respecti and 20 Th Destination 4 Supply mine the 1. 9. 20 30 30 20 to the re 8. 4 9. Source 7. minimiz (а) Fort 3. 6. 4(D) 0. 0. stru Demand (b) Use solu (c) Star tivel tima 25 25 10 20 After several iterations of the transportation simplex method, a BF solution is obtained that has the following basic variables, x= 20, 20. Continue the transportation simplex method for wo more iterations by hand. After two iterations, state whether the solution is optimal 25, 5, X2 =0, x – 0, 15 9.2-9. T systems The (1) electr ing. The and, if so, why. D1.9.2-7. Consider the transportation problem having the fol- 740O 20
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