6. Solve the transportation problem using(a) Least cost method(b)Vogeľ's Approximation Method and comment on the nature of solutions forfinding the optimum solutions.(c) Evaluate the difference between the costs in both methods.Distribution CentersSupplyD1D2D3S1120607060PlantsS255804082S308309010S430667584S535666882Demand15010590

Least cost method find the least cost in whole matrix The least cost is 10 . so allocate minimum…

Answered: 6. Solve the transportation problem…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter10: Systems Of Equations And Inequalities

Section10.FOM: Focus On Modeling: Linear Programming

Problem 4P

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What is the requirement of initial basic feasible solution in transportation Problem. Which method is most suitable for solving Transportations problem? Find the initial feasible solution using. (i) NWCR method (ii) VAM method Also compare both results. TO From A B C D Supply I 12 4 9 5 55 II 8 1 6 6 45 III 1 12 4 7 30 Demand 40 20 40 20
Consider the transportation problem given below. Destinations Source 1 2 3 Supplies 1 9 6 4 5 2 4 10 2 6 3 15 7 10 5 Demands 9 3 4 16 Construct the NW corner solution Compute the total cost of the NW corner solution Using the stepping stone method, find the min-cost solution.
A firm that assembles refrigerators and stoves is about to start production of newmodels of each. Each model will require assembly time, inspection time, andstorage space. The amounts of each of these resources that can be devoted to theproduction of the items is limited. The manager of the firm would like to determinethe quantity of each item to produce in order to maximize the profit generated bysales. He has the following data at his disposal. 1. Identify the feasible solution space.2. At which point will profit be maximized?
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THE PINEAPPLE HARVESTING SEASON IN BACOLOD IS SHORT , AND MOST FARMERS DELIVER THEIR TRUCKLOADS OF PINEAPPLE TO A GIANT CENTRAL STORAGE BIN WITHIN A TWO - WEEK SPAN . BECAUSE OF THIS , PINEAPPLE - FILLED TRUCKS WAITING TO UNLOAD AND RETURN TO THE FIELDS HAVE BEEN KNOWN TO BACK UP FOR A BLOCK AT THE RECEIVING BIN . THE CENTRAL BINJ IS OWNED COOPERATIVELY, AND IT IS TO EVERY FARMER'S BENEFIT TO MAKE THE UNLOADING/STORAGE PROCESS AS EFFICIENT AS POSSIBLE. THE COST OF PINEAPPLE DETERIORATION CAUSED BY UNLOADING DSELAYS AND THE COST OF TRUCK RENTAL AND IDLE DRIVER TIME ARE SIGNIFICANT CONCERNS TO THE COOPERATIVE MEMBERS . ALTHOUGH FARMERS HAVE DIFFICULTY QUANTIFYING CROP DAMAGE, IT IS EASY TO ASSIGN A WAITING AND UNLOADING COST FOR TRUCK AND DRIVER OF P 18 PER HOUR . THE STORAGE BIN IS OPEN AND OPERATED 16 HOURS PER DAY AND 7 DAYS PER WEEK DURING THE HARVEST SEASON AND IS CAPABLE OF UNLOADING , 35 TRUCKS PER HOUR ACCORDING TO AN EXPONENTIAL DISTRIBUTION . FULL TRUCKS ARRIVE ALL…

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6. Solve the transportation problem using (a) Least cost method (b)Vogel's Approximation Method and comment on the nature finding the optimum solutions. (c) Evaluate the difference between the costs in both methods.