Exam 23: Transportation Models

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Consider the transportation problem in the data set and optimal solution below.Verify by hand or by calculator (show your work)the value of the objective function. Consider the transportation problem in the data set and optimal solution below.Verify by hand or by calculator (show your work)the value of the objective function.

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What purpose does the northwest-corner rule serve?

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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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Consider the transportation data set for a minimization problem below. Consider the transportation data set for a minimization problem below.   a.Calculate the initial solution using the northwest-corner rule. b.Calculate improvement indices,iterate,and solve for the optimal shipping pattern. a.Calculate the initial solution using the northwest-corner rule. b.Calculate improvement indices,iterate,and solve for the optimal shipping pattern.

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In a minimization problem,a negative improvement index in a cell indicates that the

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The stepping-stone method frequently achieves an optimal solution as soon as it calculates an initial feasible solution.

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Degeneracy occurs when the number of occupied squares is less than the number of rows plus the number of columns minus one.

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

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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 large transportation problem has 220 origins and 1360 destinations.The optimal solution of this problem will fill no more than about ________ of cells with quantities to be shipped.

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________ is an occurrence in transportation problems when too few shipping routes are being used to allow calculation of improvement indices.

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The larger a transportation problem (that is,as the problem has more rows and more columns),the smaller the fraction of all possible routes that will be filled in a solved problem.Explain.

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In formulating a transportation problem,you discover that one of the route combinations is forbidden by contract,or prohibited by law,or ruled out by company policy.How would you indicate the cost of that cell in preparing the problem to be solved?

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The total cost of the optimal solution to a transportation problem

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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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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.Set up-but do not solve- this problem as though you were going to solve it with transportation problem software. 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.Set up-but do not solve- this problem as though you were going to solve it with transportation problem software.

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A feasible solution in transportation models is one in which all of the supply and demand constraints are satisfied.

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A transportation problem has 8 origins and 6 destinations.The optimal solution of this problem will fill no more than ________ cells with quantities to be shipped.

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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 transportation problem below,construct an initial feasible solution using the intuitive method. For the transportation problem below,construct an initial feasible solution using the intuitive method.

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