Operations Research subject

solve using this wayy

operations research subject please solve as the following Find the Initial Basic Feasible Solution (IBFS) for the following Transportation Model using: - North-West Corner method - Least Cost Cell method - Vogel's Approximation method Problem 1: D3 10 2 3 15 9 D1 D2 D4 D5 Supply S1 35 S2 5 10 15 2 4 40 S3 15 5 14 7 15 20 S4 20 15 13 25 8 30 Demand 20 20 40 10 35 Answer * North West Corner Method & D3 5 Si S2 S3 Demand Di 19 70 40 306 403 704 2014 D2 Da 302 50 10 7200 60 9 30 8 180 860 7 14 34/34 (1985) + (3042) + (30X6) + (40% 3) + (70X4) + ( 20x14) 95 + 60 + 180 + 120+ 280+ 280 Total Cost 1,015 *) least (ell method : lost Di 19 D3 Da supply Si to 7 60 7 + S2 S3 Demand 702 403 50 40 70 7 DO 207 9 g 18 34/34 5 8 14 Total cost (70x2)+ ( 40x3) +(878) + ( 40 x ) + ( 1077) + (207) 140 + 120 + 64 + 280 + 70 & 140 6814 * * ) Vogel's Approximation method D2 30 Supply Di 19 5 70 40 5 302 S2 S3 Demand Da 2 50 10 40 7 60 70 20 7 14 12 9 18 6 8 8 34/34 Total Cost (1945) + (3042) + (876) + ( 40 X 7) + (1072) + (204 12) 95 +60+ 48 + 280 + 20 t 240 743