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:Th

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

An elite logistics company want to determine the optimum assignment of its fleet of trucks to deliveryroutes. The objective is to minimize total costs. The costsdata in hundreds of dollars for the various truck-routecombinations are given in the following table. Develop anassignment that will minimize total cost.Route (in U.S. dollars)Truck 1 2 3 4A 9 13 8 5B 10 11 7 6C 12 6 14 9D 8 9 10 12

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Assignment Find the initial solution of the given transportation problem using the 3 methods. Suppose a manufacturing company owns three factories (sources) and distribute his products to five different retail agencies (destinations). The following table shows the capacities of the three factories, the quantity of products required by the various retail agencies and the cost of shipping one unit of the product from each of the three factories to each of the five retail agencies. Factories 1 1 2 1 9 24 12 14 33 Requirement 100 60 2 3 Retail Agency 3 13 16 1 50 4 5 35 50 20 1 23 26 50 40 Capacity 50 100 150 300 ✓

(2) Find an optimal solution for the following transportation problem. Town To Valley FROM Madison (M) Yonkers (1) Pittsburgh (P) Demand FROM Madison (M) Yonkers Pittsburgh FROM 3.50 Madison (M) Yonkers FROM $8 350 Madison (M) Yonkers (1) Pittsburgh $5 SIS 350 Valley (5) $8 $5 $15 Using the Stepping-Stone method to find an optimal plan. Tol Valley Town Junction (7) $8 Pittsburgh Demand 350 Part (a) Find the new TC= $5 $15 50 350 The above feasible plan is obtained by applying the Northwest Corner Rule (e.g., 300 from M to V, etc.), and its total cost = 350($8) +50($10)+150($12) +250($4)+200($11) +250($14) = $11.800, 150 $8 200 $5 The improvement indices below are determined as follows: Supply row M first, then sows Y and P) MJ: 9-4+12-10-2 400 MB: 6-11+12-10=-3 rv: 5-12+10-8-5 600 PP: 15-14+11-12-10-8-2 PT: 6-14+11-12- PA 11-14+11-4-4 Demand 350 200 the "most negative index" We focus on cell PT (index=-9). Its closed path is: PT to PB to YB to YT, and back to PT. To increase the…

Consider the transportation problem having the following data: Destination: Source 1 2 3 Demand 1 3 324 3 Unit Cost (S) 2 743 3 3 839 6 2 4 2 5 2 Supply 523 2 3 a. Draw the network representation of this problem. b. Display the problem on a spreadsheet and then use the Excel Solver to obtain an optimal solution.

An auto compant currently maintains plants in Cincinnati and Tulsa to supply two distributioncenters in Boston and Phoenix. The production and distribution costs, distribution demands aswell as facility capacities are given in the table attached Using the northwest-corner method, determine the initial allocated quantity for eachshipping route as well as the overall cost.