please analyze the sensitivity based on the optimal answer if:

1. one of cost (coefficient of objective function) of your non-basis variable changes, what happen to your optimal answer?

2. one of the cost (coefficient of objective function) of your basis variable changes, what happen to your optimal answer?

3. Let x(ij) is non basis variable in your optimal answer, (choose one of your non basis variable), let Si increase by 2 and Dj increase by 2, what will your optimal answer be?

For example x23 is non basis variable in your optimal answer, if you increase supply 2 by 2 and demand 3 by 2, analyze your answer

4. Let x(ij) is basis variable in your optimal answer, (choose one of your basis variable), let Si increase by 3 and Dj increase by 3, what will your optimal answer be?

For example x23 is basis variable in your optimal answer, if you increase supply 2 by 3 and demand 3 by 3, analyze your answer

Note: there is possibility that you notice that not all the sensitivity can be performed in your result to maintain the current basis variables

23. Consider the following transportation problems in matrix format. Find an initial basic feasible solution using Minimum cost method approximation method, and apply the transportation algorithm to compute the optimal solution. Cost From Total C1 C2 C4 C5 Plant 1 32 30 26 25 Plant 2 28 25 22 19 Plant 3 35 36 38 25 Plant 4 20 22 17 16 18 50 52 12 C3 27 22 29 15 8 SEENES 42 40 48 10 23. Consider the following transportation problems in matrix format. Find an initial basic feasible solution using Minimum cost method approximation method, and apply the transportation algorithm to compute the optimal solution. Cost From Total C1 C2 C4 C5 Plant 1 32 30 26 25 Plant 2 28 25 22 19 Plant 3 35 36 38 25 Plant 4 20 22 17 16 18 50 52 12 C3 27 22 29 15 8 SEENES 42 40 48 10