Archive | Operations Research

A firm has 3 plants A, B & C and 4 warehouses W1, W2, W3 W4. Plant capacities are 1100, 1300 & 1900 units. Warehouse demands are 600, 1000, 1200 & 1500 units. Using cost data given below, find Optimal transportation cost. Find IFS by VAM.                                                         {Rs. 79,600}     W1 W2 W3 W4 Capacity [...]

Transportation unit cost matrix –     D1 D2 D3 D4 Capacity P1 100 120 90 60 700 P2 70 30 70 70 600 P3 60 60 90 110 900 Demand 600 400 600 200   Find Initial Feasible solution by VAM & Optimal solution by Modified Distribution method. Is there an alternate optimal solution? [...]

Following table shows supply and demand (In thousand units). Find IFS by VAM and Optimal solution by MODI method.                                                                                               {Rs. 799,000)     W1 W2 W3 W4 Capacity P1 19 30 50 12 7 P2 70 30 40 60 10 P3 40 10 60 20 18 Demand 5 8 7 15  

There are three plants A, B, and C with capacities of 120, 80 and 200 units. They supply to four warehouses P, Q, R, and S with demand of 60, 50, 140 & 50 units. Find IFS by VAM and Optimal solution by MODI method.                                                                                                         {Rs. 900)   Transportation unit cost matrix –   [...]

Transportation unit cost matrix –   Warehouse   Plant W1 W2 W3 W4 Capacity A 50 150 70 60 50 B 80 70 90 10 60 C 15 87 79 81 40 Demand 20 70 50 10   Find IFS by VAM and Optimal solution by MODI method.                                                            {Rs. 9,140) Does degeneracy occur during any [...]

Transportation unit cost matrix –     W1 W2 W3 W4 Capacity P1 5 6 9 11 40 P2 11 9 14 13 30 P3 15 18 26 20 30 Demand 5 15 35 45 Find IFS by NWCR and Optimal solution by MODI method. Does degeneracy occur during any stage of the solution? If [...]

Transportation unit cost matrix –   D1 D2 D3 Capacity P1 16 14 11 50 P2 13 18 17 40 P3 14 14 12 60 Demand 20 95 35 Find initial solution by NWCR & Optimal solution by MODI.                                             {Rs. 2,055)    

From following data find best possible allocation for Optimal results. Find IFS by VAM. {Rs. 960) F1 F2 F3 F4 Selling Price / unit Requirement S1 3 9 5 5 34 80 S2 1 7 4 5 32 120 S3 5 8 3 6 31 150 Prod. Cost / unit 15 18 14 13 Raw [...]

There are four factories & three sales depots. Production, raw material & transportation costs (per unit) along with sales prices are given. Find IFS by VAM and Optimal allocation.                {Rs. 480}     F1 F2 F3 F4 Demand S1 3 9 5 4 80 S2 1 7 4 5 120 S3 5 8 3 6 [...]

Following data refers to unit profit for transportation from each plant to each warehouse. There are three plants P1, P2 and P3 with capacities of 2000 units each. They supply to three market locations M1, M2 and M3 where demand is 1500, 3000 and 1500 units.                         {Rs. 187,500}     M1 M2 M3 P1 [...]