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Exam 24: Transportation Models

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Question 31

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The transportation model seeks satisfactory,but not necessarily optimal,solutions for shipping goods from several origins to several destinations.

A) True
B) False

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Question 32

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If demand exceeds supply in a transportation problem,the problem must be balanced by adding a dummy source with additional supply.

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B) False

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Question 33

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The three information needs of a transportation problem are the origin points and the capacity at each,the destination points and the demand at each,and ________.

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

The initial solution to a transportation problem can be generated several ways,so long as:

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

A transportation model fills one-half of its cells under the non-degenerate optimal solution.Which of the following most closely describes the number of sources compared to the number of destinations?

Source A has capacity of 15,Source B has capacity of 30,Destination 1 has demand of 5 and Destination 2 has demand of 20.Fill in the following table with the correct initial solution for a northwest-corner method approach.

What purpose does the northwest-corner rule serve?

Consider the transportation problem and its optimal solution in the tables below.What is total shipping cost?

One difference in the stepping-stone method compared to the northwest-corner and intuitive methods is:

For the problem below,what is the quantity assigned to the cell Source 3-Destination 1 using the intuitive method for an initial feasible solution?

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.

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

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

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.

A transportation model's optimal solution uses no more than 8% of cells and has 100 sources.Find the number of destinations.

Consider the transportation problem and its initial solution in the table below.What is the improvement index for the empty cell Source 1 - Destination 3?

Find the minimum cost solution for the transportation problem detailed in the table below. Before your solution can be implemented,you discover that the combination Source 3 - Destination 1 is unavailable,due to political turmoil in the country where Source 3 is located.Solve the revised problem.How much is cost increased by this complication?

A transportation model uses no more than 5% of its cells.If the number of destinations is 1000,determine the number of sources in the model.