Solve the problem. 8) Chelsea Avanos is searching for a job. She lives in Winston-Salem, North Carolina, and has interviews in Tacoma, Washington; Pittsburgh, Pennsylvania; and Gainesville, Florida. The costs for one-way flights between these cities are summarized below: Gainesville $353 $746 Winston-Salem s408 Gainesville Pittsburgh Tacoma Winston-Salem $746 $408 $725 $391 $1028 $353 Pittsburgh Tacoma $725 $391 $1028 Represent this traveling salesman problem with a complete graph showing the distances on the appropriate edges.
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- Consider the following network representation of a transportation problem. Let Min 40 s.t. 35 Supplies From Jefferson City From Omaha To Des Moines Jefferson City To Kansas City Omaha To St. Louis 14 9 8 X11 = amount shipped from Jefferson City to Des Moines X12 = amount shipped from Jefferson City to Kansas City X13 = amount shipped from Jefferson City to St. Louis X21 amount shipped from Omaha to Des Moines X22 = amount shipped from Omaha to Kansas City X23 = amount shipped from Omaha to St. Louis 8 11 24 The supplies, demands, and transportation costs per unit are shown on the network. (a) Develop a linear programming model for this problem; be sure to define the variables in your model. Des Moines Kansas City St. Louis 25 10 40 Demands2. Metropolitan Manila has four incinerator sites for processing solid waste. There are five garbage collection areas within the metropolis. The city wants to determine the least-cost method of disposing of its trash. Each incinerator is characterized by an operating cost for processing each ton of waste and also a cost for transporting each ton of waste is summarized in the table below: Collection Incinerator Site Area 1 2 3 4 50 120 110 60 B 100 55 90 70 60 40 80 65 90 75 85 110 80 100 95 65 Incinerator sites 1 and 2 have a weekly capacity of 6,000 tons each, site 3 has a capacity of 8,000 tons and site 4 has a capacity of 10,000 tons. There are 4,000 tons of waste generated at area A, 8,000 tons at area B and 5,000 tons each at areas C and D, each week. A total of 25,000 tons of waste each week are generated from all five areas.The new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose lati-tudes and longitudes are shown in Table 13.1, along with the population in each census tract (in thou-sands). Customers will travel from the seven census-tract centers to the new facility when they needhealth care. What is the target area’s center of gravity for the Health-Watch medical facility?
- 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) 40Your regular trucking company that you use to move LTL freight from Winnipeg to Duluth, Minnesota, 1s suddenly on strike. You call other trucking companies but cannot get space What could you have done to avoid this situation? 1. Regularly use more than one carrier to create a bank of possible carriers to handle your business 2. Always book space with your truckers in advance 3. Use a pool car operator and hope they have next-day service to Duluth 4. Nothing can be doneQ: When we solve the given transportation problem according to the lowest cost method, which warehouse and/or warehouses are suitable for shipment from f3 (F: Factory M: Customer)A) no needb) M1, M2, M3c) M1 and M2d) M3 and M1E) M3
- The new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose latitudes and longitudes are shown in Table, along with the population in each census tract (in thousands). Customers will travel from the seven census-tract centers to the new facility when they need health care. What is the target area’s center of gravity for the Health-Watch medical facility?eBook Problem 10-31 A long-distance telephone company uses a fiber-optic network to transmit phone calls and other information between locations. Calls are carried through cable lines and switching nodes. A portion of the company's transmission network is shown here. The numbers above each arc show the capacity in thousands of messages that can be transmitted over that branch of the network. To keep up with the volume of information transmitted between origin and destination points, use the network to determine the maximum number of messages that may be sent from a city located at node 1 to a oty located at node 7. 3 Maximum number of messages -The Thor International Company operates four factories that ship products to five warehouses. The shipping costs, requirements, and capacities are shown in the tableau below. Use the transportation method to find the shipping schedule that minimizes shipping cost. Shipping Cost per Case to each Warehouse W2 Factory Сарacity W1 W3 W4 W5 Dummy $5 $5 $4 $7 $0 F1 60,000 $4 $5 $4 $6 $8 $0 F2 80,000 $6 $5 $7 $4 $5 $0 F3 80,000 $5 $9 $6 $7 $4 $0 F4 40,000 Demand 45,000 40,000 30,000 35,000 50,000 60,000 260,000 The minimum shipping cost is S | (Enter your response as a whole number.)
- Don Levine Corporation is considering adding an additional plant to its three existing facilities in Decatur, Minneapolis, and Carbondale. Both St. Louis and East St. Louis are being considered. Evaluating only the transportation costs per unit as shown in the tables below, which site is best? FROM EXISTING PLANTS TO DECATUR MINNEAPOLIS CARBONDALE DEMAND Blue Earth $20 $17 $21 250 Ciro 25 27 20 200 Des Moines 22 25 22 350 Capacity 300 200 150 FROM PROPOSED PLANTS TO EAST ST. LOUIS ST. LOUIS Blue Earth $29 $27 Ciro 30 28 Des Moines 30 31 Capacity 150 150a. 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 60,000 140,000Suppliers A, B, and C supply components to three plants -- F, G, and H via two transshipment facilities -- T1 and T2. It costs $4 to ship from T1 regardless of final destination and $3 to ship to T2 regardless of supplier. Shipping to T1 from A, B, and C costs $3, $4, and $5, respectively, and shipping from T2 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. The Logistics Manager has come to you for help. Answer the following question: Which of these is not an element of the objective function? Group of answer choices 4D-T1 600T1 9T2-G 3C-T2 Plz do fast asap