5. Consider the transportation problem having the following parameter table:Destination 1Destination 2Destination 3Source 1Source 2DemandThe initial BF solution given bySource 1Source 2DemandVj32.93X11 = 3, X12 = 2, X22= 2, X23 = 2.Interactively apply the transportation simplex method to obtain an optimal solution.The initial transportation simplex tableau isDestination 1Destination 232.9332.72.842.72.84220002Destination 3 supply502supply5424UiFor each iteration tableau, clearly mark: U₁, V₁ values, č¡¡ + or negative values, the loop, theentering BV, the leaving BV. At the end of each iteration, also write out clearly what the new BFsolution, and the new objection value.

Problem Table is D1 D2 D3 Supply S1 3 2.7 0 5 S2 2.9 2.8 0 4 Demand 3 4 2…

Answered: 5. Consider the transportation problem…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A logistics company plans to provide coal logistics transportation services to HY coal sales enterprise. HY coal sales enterprise has coal storage and sales points in B and D, with available coal quantities of 1600t and 8000t, respectively; A and C represents the locations of two coal users, with a demand of 8000t and 1600t respectively. The distribution of relevant locations and travel distances are shown in Figure 1. Based on the above conditions, try to calculate and explain from the perspective of transportation capacity consumption: How should logistics company HY plan transportation routes in order to make them more reasonable? (a transportation route planning scheme needs to be illustrated) . Note:The solution should not be hand written.
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
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7. The BD restaurant chain purchases materials from four different food suppliers. The company wants to construct a new central distribution center to process and package the materials before shipping them to their various restaurants. The suppliers transport items in 40-foot truck trailers, each with a capacity of 38,000 lbs. The locations of the four suppliers and the annual number of trailer loads that will be transported to the distribution center are shown in the following table (distance in miles). Using the center-of-gravity method, determine a possible location for the distribution center. A B с D X Y 200 200 100 500 250 600 500 300 Load 75 105 135 60 BD wants to evaluate three different sites it has identified for its new distribution center relative to the four suppliers identified. The coordinates of the three sites under consideration are as follows: Site 1: x1 = 360, y₁ = 180 Site 2: X2 = 420, y2 = 450 Site 3: X3 = 250, y3 = 400
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
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
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Given the following transportation matrix where the numbers in the cells represent cost of transporting 1unit from a specific source to a specific destination, determine the initial solution using the 3 methods anddetermine the optimum solution by using the initial solution with the lowest value of Z.
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