Exam 6: Transportation, Assignment, and Transshipment Problems

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The number of possible assignments in an assignment problem with 6 jobs and 6 workers to assign them to would be

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In the transportation problem model for production planning discussed in your text, if there are 3 periods and 4 methods of manufacturing in each period, how many rows will be needed?

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In a transportation problem, if the total supply is equal to total demand, all constraints in its formulation can be written as equality constraints.

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In a transportation problem with 5 supply points, 3 demand points, and total supply less than total demand, the number of decision variables will be

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In an assignment problem, suppose we have 5 projects and a potential list of 6 managers who could be the project manager for any one of the projects. The problem can be formulated by adding a thus converting it to a standard assignment problem.

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Phil Chandler Insurance Agency has 4 potential clients to allocate among 5 salesmen. The expected sales for each salesman-client allocation is given in the following table. Using the assignment model, find the best assignment of salesman to client. Phil Chandler Insurance Agency has 4 potential clients to allocate among 5 salesmen. The expected sales for each salesman-client allocation is given in the following table. Using the assignment model, find the best assignment of salesman to client.

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A transshipment problem has 3 origins, 2 intermediate points, and 4 destinations. The number of constraints in the linear programming formulation crafted from the principles discussed in the text will be

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In a transportation problem with total demand equal to 900 and total supply equal to 1200 , the cost associated with all dummy cells will be

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Data on cost, demand, and supply for a balanced (total supply equals total demand) transportation problem is given in the table below. In the linear programming formulation of this transportation problem with Xij\mathrm{X}_{i j} denoting the amount shipped from supply point ii ( 1 or 2 ) to demand point j(1,2j(1,2 or 3 ), the correct objective function is  Data on cost, demand, and supply for a balanced (total supply equals total demand) transportation problem is given in the table below. In the linear programming formulation of this transportation problem with  \mathrm{X}_{i j}  denoting the amount shipped from supply point  i  ( 1 or 2 ) to demand point  j(1,2  or 3 ), the correct objective function is

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An assignment problem with 6 projects and 7 potential managers who can handle each of the projects, though with differing efficiency, can be solved by adding a dummy project.

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In the linear programming formulation of the transshipment problem, there are a set of constraints that require the total shipment to each intermediate point be the total shipment out of each intermediate point.

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Scheduling production in different time periods of a planning horizon can be formulated as a transportation problem.

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Transportation problem formulation can be used to help make location decisions when the total transportation cost is significant.

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