a. Goods have to be transported from sources S1, S2 and S3, to destinations D1, D2 and D3. The transportation cost per unit capacities of the sources and requirements of destinations are given in the following table: Destination Source S1 S2 S4 D1 8 15 3 150 D3 6 12 9 10 Demand 80 50 Determine the transportation schedule so that cost is minimized. D2 5 10 Supply 120 80 80
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- b) Table 2 shows the transportation costs, demands and supplies of a transportation problem. Table 2: Transportation problem To From A B C Supply 1 7 4 150 8 11 50 3 250 10 11 12 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.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 1,200Example 3: With the help of North-West Corner method, solve the following transportation problem: W1 W2 W3 W4 Supply P1 21 40 30 15 10 P2 60 25 50 55 8. P3 45 10 60 10 17 Demand 7 8 14 35
- 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 1,200Use the northwest corner method, the minimum-cost method, and Vogel's method to find basic feasible solutions to the transportation problem in Table 73. TABLE 73 20 11 3 6. 5 5 9. 10 10 18 7 1 15 3 3 12 12 a) Find the optimal solution b) Estimate the range of c13 under which the current optimal solution to problem remains optimal. c) Resolve the review problem under the condition that both the capacity of supplier 2 and the demand for customer 2 increase by 2 units. 4-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.
- Consider the transportation table below for answering question number 21-25. From To Quezon city Bataan Php 7 Visayas Mindanao Php 10 Php 6 Demand 100 Manila Taguig Supply Php 5 Php 9 Php 12|Php 10 150 200 Php 3 Php 14 50 80 220 400 21. Using Northwest Corner Rule, how many must be supplied from Visayas to Taguig? (a) 170 (b) 180 (c) 190 (d) 200 22. Using Northwest Corner Rule, how many must be supplied from Mindanao to Taguig? (a) 45 (b) 50 (c) 55 (d) 60 23. Using Minimum Cost Method, how many must be supplied from Visayas to QC? (a) 200 (b) 210 (c) 220 (d) 230 24. Using Minimum Cost Method, how many must be supplied from Mindanao to Manila? (a) 35 (b) 40 (c) 50 (d) 55 25. Using Vogel's Approximation Method, how many must be supplied from Bataan to Taguig? (a)20 (b) 25 (c) 30 (d) 40(iii) Find the initial basic feasible solution for the following transportation problem using VAM. Explain each step. Destination D1 D2 D3 D4 Supply 01 11 13 17 14 250 Origin 02 16 18 14 10 300 O3 Demand 200 225 275| 250 21 24 13 10 4002) Using the cost table of the transportation problem shown below, do the following: a) Develop the appropriate LP model of the problem. WAREHOUSE PLANT A B C D DEMAND 1 5 10 7 20 200 2 3 12 5 25 400 3 8 10 10 18 600 4 7 8 12 30 1000 SUPPLY 200 500 300 1000
- The solution to this problem is shown below. Use it to answer parts (b) through (e). Transportation Problem Optimal Transportation Schedule To Destination From From Origin 1 оооо 2 3 3 1 2 11 19 0 0 0 9 0 0 Origin Excess Supply 34 16 0 6 Total Transportation Cost or Revenue is 347 Note: The Total Supply Exceeds The Todal Demand By 16 0 3 (b) How many chairs are moved from Baker to Business? (c) How many chairs are moved from Tirey to Parsons? (d) How many chairs are moved from Arena to Education? (e) Which site(s) has (have) chairs left? (Select all that apply.) Baker Hall Tirey Hall Arena Business Education Parsons Hall Holmstedt HallDM Office Products (DMOP) Is a wholesale supplier of office products with one facility in Pennsylvanla. They have decided to build a new distribution warehouse in the state of New York to help serve the growing demand in that market. They have four major customers located in Buffalo, Syracuse, Albany, and New York City. Though New York City is the largest market, It also has the greatest competition, and DMOP is not a major player there. When DMOP ships an order to a customer, they use their own small fleet of two trucks to deliver, so the cost of delIvery is essentially the same for a full or partially full truck. The expected number of annual shipments to each city and their coordinates on an x, y grid is shown in the following table. y-COORDINATES 850 CITY x-COORDINATES NUMBER OF SHIPMENTS Buffalo 325 78 82 Syracuse Albany New York City 1,420 2,300 2,275 900 630 122 25 62 Use the centroid method to recommend a location for the new warehouse for DMOP. (Round your answers to 1 decimal…Freight Agents can be employed to handle your cargo from your Overseas Suppliers that can be located in either Dubai or China to your Company premises here in Zambia. Discuss three likely services that can be offered by these Agents in this regard, the influence of COVID 19 on them and measures put in place to mitigate the impact..