Exam 23: Transportation Models

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A transportation problem that has more units supplied than demanded will require a(n)________ to balance the problem.

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A firm has established a distribution network for the supply of a raw material critical to its manufacturing.Currently there are two origins for this raw material,which must be shipped to three manufacturing plants.The current network has the following characteristics: A firm has established a distribution network for the supply of a raw material critical to its manufacturing.Currently there are two origins for this raw material,which must be shipped to three manufacturing plants.The current network has the following characteristics:   The firm has identified two potential sites for a third raw material source;these are identified as Candidate A and Candidate B.From A,the costs to ship would be $9 to Plant 1,$10 to Plant 2,and $12 to Plant 3.From B,these costs would be $11,$14,and $8.The new source,wherever it is located,will have a capacity of 500 units.Solve with the transportation method.Which site should be selected? The firm has identified two potential sites for a third raw material source;these are identified as Candidate A and Candidate B.From A,the costs to ship would be $9 to Plant 1,$10 to Plant 2,and $12 to Plant 3.From B,these costs would be $11,$14,and $8.The new source,wherever it is located,will have a capacity of 500 units.Solve with the transportation method.Which site should be selected?

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The transportation model is an excellent tool for minimizing shipping costs among existing facilities,but it is not useful when firms consider new facility locations.

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In a minimization problem,a positive improvement index in a cell indicates that

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A transportation problem requires exactly as many origins as destinations.

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Find the minimum cost shipping solution for the transportation problem data set in the table below.Provide a table of shipping quantities and the minimum value for the objective function. Find the minimum cost shipping solution for the transportation problem data set in the table below.Provide a table of shipping quantities and the minimum value for the objective function.

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A transportation problem has improvement indices of 5,4,0,and -3.Which of the following is always true?

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Suppose the solution for a transportation model fills 5 cells with quantities to be shipped.Which of the following combinations of sources and destinations would be degenerate?

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What is the difference between a feasible solution and an optimal solution?

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A transportation problem with a total supply of 500 and a total demand of 400 will have an optimal solution that leaves 100 units of supply unused.

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For the problem data set below,what is the northwest corner allocation to the cell Source 3-Destination 3? For the problem data set below,what is the northwest corner allocation to the cell Source 3-Destination 3?

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When does degeneracy occur in a transportation model?

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The Shamrock Transportation Company has four terminals: A,B,C,and D.At the start of a particular day,there are 8,8,6,and 3 tractors available at those terminals,respectively.During the previous night,trailers were loaded at plants R,S,T,and U.The number of trailers at each plant is 2,12,5,and 6,respectively.The company dispatcher has determined the distances between each terminal and each plant,as follows.How many tractors should be dispatched from each terminal to each plant in order to minimize the total number of miles traveled? The Shamrock Transportation Company has four terminals: A,B,C,and D.At the start of a particular day,there are 8,8,6,and 3 tractors available at those terminals,respectively.During the previous night,trailers were loaded at plants R,S,T,and U.The number of trailers at each plant is 2,12,5,and 6,respectively.The company dispatcher has determined the distances between each terminal and each plant,as follows.How many tractors should be dispatched from each terminal to each plant in order to minimize the total number of miles traveled?

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In a transportation problem,degeneracy means that

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For the data below,construct an initial feasible solution using the northwest-corner rule. For the data below,construct an initial feasible solution using the northwest-corner rule.

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A transportation model uses only 5% of its cells.If the number of destinations is 1000,determine the number of sources in the model.

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The elements of a transportation problem that supply goods are referred to as ________.

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When using the stepping stone method,the closed path sometimes has the shape of a triangle as diagonal moves are permitted.

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The ________ develops an initial feasible solution for a transportation model by starting at the upper left-hand cell of a table and systematically allocating units to shipping points.

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For the problem below,what is the quantity assigned to the cell Source 1-Destination 2 using the intuitive method for an initial feasible solution? For the problem below,what is the quantity assigned to the cell Source 1-Destination 2 using the intuitive method for an initial feasible solution?

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