(20 points) Consider the following transportation problem given in the table shown below. Formulate the transportation model. Find the BFS using NWC, LCM, and Vogel's approximation methods. Obtain an optimal solution for this problem using the MODI method. Check your final solution using excel Solver. Destinations D1 D2 D3 D4 Supply Source 1 2 3 4 S1 $1 $2 $3 $2 150 S2 $2 $4 $1 $2 200 S3 $1 $3 $5 $3 250 Demand 150 150 400 100