Q4. Solve the following transportation problem using the following table. Obtain an Initial BFS tothe following Transportation problem using NORTH WEST CORNER RULE method?D1D2D3D4SUPPLY01174300022400038332500DEMAND25035040020012005

This question is related to the topic of Supply chain management (transportation problem) and this…

Answered: Q4. Solve the following transportation…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 32P

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A farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane farms in the region, they are tightly clustered around six villages. Using the data below,use the center-of-gravity method to calculate the coordinates of the best location for this mill.All mileage references use Browns Town as (0,0).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000
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 1,200
Find the initial basic feasible solution by (i) north west corner rule (ii) lowest cost entry method (iii) Vogel's approximation method of the following transportation problem: RIOTITIONS R1 R2 R3 R4 Requirement 3R Z1 5 3 6 4 21 Z2 1 8473 4 1 25 7-85-25- Z3 3 5 4 4 17 Z4 3 4 3 2 17 Capacity 34 15 12 19 80
J 2 An electronics store wants to identify a location for a warehouse that will ship to five retail stores. The coordinates and annual number of truckloads are given in the accompanying table. Develop a model to find the best location, assuming that straight-line distances can be used between the locations. Experiment with the model by testing each of the possible best solutions, included, to find the best location. Click here to view the data for the store locations and annual numbers of truckloads. Click here to view some possible best solutions. The best location is at____. (Type an ordered pair. Round each coordinate to the nearest integer as needed.)
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.
Using the grid technique to determine the least-cost location (warehouse) for this problem: Tons Rate X - Coordinates Y – Coordinates S1 200 0.5 2 14 S2 300 0.6 6 10 M1 100 1 2 2 M2 100 2 10 14 M3 100 1 14 18 M4 100 2 14 6 The Grid center coordination is ____ and _____ (round the results to 1 decimal place) Group of answer choices (9.9; 7.8) (5.5; 6.9) (8.7; 10.5) (10.5; 6.4) (9.9; 8.9)
Use 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-
City government has collected the following data on annual sales tax collections and new car registrations: Annual Sales Tax Collections (in millions) 1.0 1.4 1.9 2.0 1.8 2.1 2.3 2.5 New Car Registrations (in millions) 10 12 15 16 14 17 20 22 Determine the following: Plot these data and decide if a linear model is reasonable. Using the results of part a., find the estimated sales tax collections if new car registrations total 25,000,000.
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?
a.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
a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage references use Browns Town as (0,0). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000
Maximize 8x + 9y Subject to -- x + 2 y 0 a) Solve using simplex method

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Q4. 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 6 5 400 03 2 500 DEMAND 250 350 400 200 1200 3.