solve this shortest-path problem.
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- John Clooney, a bush pilot in Alaska, makes regular charter flights in his floatplane to various towns and cities in western Alaska. His passengers include hunters, fishermen, backpackers and campers, and tradespeople hired for jobs in the different localities. He also carries some cargo for delivery. The following network shows the possible air routes between various towns and cities John might take (with the times, in hours). For safety reasons, he flies point-to-point, flying over at least one town along a route, even though he might not land there. In the upcoming week John has scheduled charter flights for Kotzebue, Nome, and Stebbins. Determine the shortest route between John’s home base in Anchorage and each of these destinations.Use the table below to answer the following question(s). The Riviera Transport Company (RTC) produces car accessories at two plants: Dallas and Atlanta. They ship them to major distribution centers in Houston, San Jose, Jacksonville, and Memphis. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. RTC's supply chain manager faces the problem of determining how much to ship between each plant and distribution center to minimize the total transportation cost, not exceed available capacity, and meet customer demand. Assume Xij = amount shipped from plant i to distribution center j, where i = 1 represents Dallas, i = 2 represents Atlanta, j = 1 represents Houston, and so on. Transportatio In Model Data Distribution Center Plant Houston Memphis 18.48 Dallas 13.00 Atlanta 10.75…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
- The King Corn Company processes food for sale in discount food stores. It has two plants: one in Chicago and one in Houston. The company also operates warehouses in Miami, Denver, Lincoln, and Jackson. Forecasts indicate that demand soon will exceed supply and that a new plant with a capacity of 6,000 cases is needed. The question is where to locate the new plant. Two potential sites are Auburn and Springfield. The two tables below give data on capacities, forecasted demand, and shipping costs that have been gathered. a. Foreachalternativenewplantlocation, determine the total cost of the shipping pattern that will minimize total transportation costs. Where should the new plant be located based on transportation costs?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?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.
- A valve manufacturer is considering three alternative locations for a new plant for manufacturing ball valves for oil and gas industry. Since the plant ships nationwide, revenue is assumed the same regardless of plant location. The estimated annual fixed and variable costs for each site is shown in TABLE Location Costs A B C Fixed (RM) 700,000 1,000,000 $1,500,000 Variable (RM) $28 $18 $12 Identify the range of output for which each location provides the lowest total cost. Show necessary graph and calculation used in the analysis. Discuss on the finding(s).A&B Transport Co. is a company that manages a food supply chain. The problem involves the delivery of cargo (canned peas) from four canneries (loading ports) to three destination ports, using tankers. Since the shipping costs are a major expense for the company, management is initiating a study to reduce them as much as possible. For the upcoming season, has come up with an estimation of the available output from each cannery. Furthermore, each destination port has also specific requirements for the total supply of peas that have to be satisfied. This information (in units of tanker loads), along with the shipping cost per tanker load for each loading - destination port combination, is given in Tables 1 and 2. The problem for the A&B Transport Co. is to determine the shipping strategy given the various loading - destination port combinations, so that the total shipping costs are minimised. Question 1 . A&B Transport Co is thinking of including in its strategy the shipment…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
- The Thor International Company operates four factories that ship products to five warehouses. The shipping costs, requirements, and capacities are shown in Figure. Use the transportation method to find the shipping schedule that minimizes shipping cost.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.)Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers (located in cities A, B, and C). As shown in the table below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following information: Location Coordinates (miles) Deliveries per day (200,100) (300,100) (300,300) A 9 B 5 7 a. Which of these three locations yields the smallest load-distance score, based on Euclidean distances? Location V yields the smallest load-distance score of : (Enter your response rounded to one decimal place.)