Destination 3 4 5 Supply 2 6 13 10 22 29 18 2 14 13 16 21 M Source 3 M 11 4 18 9 19 23 11 30 24 34 36 28 Demand 3 4 5 6 2 Write down the LP formulation and solve the LP model using excel solver. Explain the solution. 5O743 O o o o 0
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- Explain how to determine the number of variables and constraints that would be in a transportation problem simplyby knowing the number of sources and the number of destinations.a) Define the Transportation model. b) A Power company has three plants that supply the need of three cities. Each plant can supply the following numbers of kWh of electricity. Plants 1, 2 and 3 can supply 30, 40 and 50 million kWh respectively. The demand at City 1, City 2 and City 3 are 20, 40 and 40, respectively. Table 1 shows the cost of sending electricity from each plant to each city depends on the distance the electricity must travel. Table 1: Transportation costs From City 1 City 2 City 3 To Plant 1 10 11 16 Plant 2 8 14 11 Plant 3 7 10 13 Formulate the above problem as a balanced Transportation problem.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
- solve for y in part beBook 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 -(b)Consider a transportation model with m sources and n destinations. Describe briefly how you can resolve the following situations while solving the problem: (i) Total supply is greater than total demand,
- Which of the following is NOT a method to develop an initial solution to a transportation model? - Group of answer choices - None...all are methods to develop an initial solution - northwest corner method - linear programming - intuitive least cost methodA 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 10 120 140,000Define the term constraint.
- J 2 An electronics store wants to identify a location for a warehouse that will ship to five retail stores. The coordinates and annual number of truckloads are given in the accompanying table. Develop a model to find the best location, assuming that straight-line distances can be used between the locations. Experiment with the model by testing each of the possible best solutions, included, to find the best location. Click here to view the data for the store locations and annual numbers of truckloads. Click here to view some possible best solutions. The best location is at____. (Type an ordered pair. Round each coordinate to the nearest integer as needed.)Consider the transportation problem having the following data: c) write the algebraic formulation of this problem.KOOKABOORA CONTAINER CORPORATION (From Business Organization and Management – Dr. Roberto Medina) When the Clark Special Economic Zone in Pampanga opened its gates for investors in light and medium industries, the Kookaboora Container Corporation (KCC) was among the first ten companies to locate in the zones’s premises. KCC manufactures containers of various shapes and sizes which are used by manufacturers of industrial chemicals, food products, cooking oil, motor oil and others. The production department of KCC is headed by Engr. Nicolas, a licensed mechanical engineer. He is a tickler for discipline. When even small mistakes happen in his department, he personally calls the offending employee and metes appropriate penalty. As a result, his department was judged best in efficiency. Very minimal wastage in materials and time were recorded by the department. Under the direct supervision of Engr. Nicolas are 10 supervisors who are graduates of engineering courses and…