b) Table 2 shows the transportation costs, demands and supplies of a transportation problem. Table 2: Transportation problem To From A В Supply 1 6 7 4 150 8 11 50 10 11 12 250 Demand 100 200 150 i) Find the initial solution using the Minimum Cost method and identify the special case if any. ii) Suppose the initial solution to the above problem takes the basic variables X11 = 100, x12 = 50, x23 = 50, x32 = 150 and x33 = 100. Find the optimal solution using Modified Distribution method. iii) Present the optimal solution obtained in ii) graphically.
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- TRANSPORTATION . Given the following transport. tion matrix where the numbers in the cells represent cost of transporting 1 unit from a specific source to a specific destination, determine the initial solution using the 3 methods and determine the optimum solution by using the initial solution with the lowest value of Z. 3 4 40 35| M M 20 30 From/To 5 6 Dummy | Supply 1 M 100 60 45 M 200 3 12 M 300 4 15 10 300 5 M M 15 300 Demand 300 300 300 | 150 150 1,200Q4. Solve the following transportation problem using the following table. Obtain an Initial BFS to the following Transportation problem using NORTH WEST CORNER RULE method? D1 D2 D3 D4 SUPPLY 01 1 7 4 300 02 2 400 03 8 3 3 2 500 DEMAND 250 350 400 200 1200 5a.Find the starting solution of this transportation model by Least Cost Method. (Unit transportation costs are given in the table) Then find the optimal solution of this transportation model by Stepping Stone Method. D1 D2 D3 D4 Supply M1 16 24 14 11 25 M2 21 18 17 9 30 M3 15 13 21 14 40 Demand 25 25 20 25
- 4. Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Set up the solution in Excel and solve with Solver. What are total costs?Obtain the initial basic feasible solution to the following transportation problem using north- west corner rule D1 D2 D3 D4 SUPPLY O1 6 4 1 5 14 O2 8 9 2 7 16 O3 4 3 6 2 5 DEMAND 6 10 15 4 Where O1, O2, O3, O4 are the origins and D1, D2, D3, D4 are requirements respectively. Obtain the minimum cost and comment upon the concept of transportation problem and its significance in detail.2. The table below shows the cost matrix From – To- travel that must fulfil by PT. JauhAbadi marketing officer. Help the officer to determine the route from City A to all other cities with minimum cost Cities A C D E A M 16 18 13 20 B 21 M 16 27 14 C 12 14 M 15 21 D 11 18 19 M 21 E 16 14 17 12 M INSTRUCTION: Use handwriting and software to find solution of Problem 2. Screenshot each process to show how the problem solved.
- (b)Consider a transportation model with m sources and n destinations. Describe briefly how you can resolve the following situations while solving the problem: (i) Total supply is greater than total demand,Qn1. Find the optimal solution to the transportation problem using MODI method. Warehouses Supply WI W2 W3 W4 P1 19 30 50 12 Plants 5. 2. P2 70 30 40 60 P3 40 10 60 20 3. 15 Demand 4)Given the following transportation matrix where the numbers in the cells represent cost of transporting 1 unit from a specific source to a specific destination, determine the initial solution using the 3 methods and determine the optimum solution by using the initial solution with the lowest value of Z. 3 4 5 6 35 Dummy Supply From/To 1 40 M M 100 60 45 M M 200 12 20 M 300 4 15 10 30 300 5 M M 15 300 Demand 300 | 300 300 150 150 1,200
- SRS Limited is a manufacturing company in Asia (China and India) specializing in bicycles that they sell to the USA, Canada, and Africa. Recently they acquired JAP Bicycle in Jamaica and supplying them with bikes and parts. They want to get in the automatic wheelchair for the physical challenge. SRS Limited contracted you as a transportation consultant to see their shipment from Asia to Canada, the East and West coast of the USA, Jamaica, and Africa. a. Differentiate the difference between intra-modal and inter-modal and why you will have recommended one over the other.Consider the transportation problem having the following parameter table: Source Demand 12 2 Destination 1 8 a6 6 3 2 5 4 3 Supply 4 2 (a) Use the transportation simplex method to solve the above problemThe objective function of a transportation problem is to: A. maximize transportation cost B. maximize supply quantities C. minimize total shipping cost D. minimize total demand Don't answer by pen paper and don't use chatgpt otherwise we will give dounvote