Question 1

The information needs of a transportation problem include

Accepted Answer

A) the cost of shipping one unit from each origin to each destination. 
B) the set of destinations and the demand of each. 
C) the set of origins. 
D) the supply at each origin. 
E) all of the above. 
A) the cost of shipping one unit from each origin to each destination. 
B) the set of destinations and the demand of each. 
C) the set of origins. 
D) the supply at each origin. 
E) all of the above. E

Question 2

The transportation model is a special class of linear programming models.

Accepted Answer

A) True 
 B)False  True

Question 3

What does the stepping-stone method do?

Accepted Answer

The stepping-stone method is an interactive technique for moving from an initial feasible solution to an optimal solution in the transportation model.

Question 4

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

Accepted Answer

Number of Cells is 1000X,numbe

Question 5

A transportation model uses at least 10 sources and 100 destinations.If the ratio of sources to destinations remains constant,does the maximum % of cells used by the optimum solution remain constant? Why or why not?

Accepted Answer

Students should approach this problem in

Question 6

The number of routes filled by a solution to a transportation problem is no larger than ________.

Accepted Answer

the sum of

Question 7

Which of the following is not needed in order to use the transportation model?

Accepted Answer

A) the source points and their capacity 
B) the fixed costs of source points 
C) the destination points and their demand 
D) the cost of shipping one unit from each source to each destination 
E) All of these are needed. 
A) the source points and their capacity 
B) the fixed costs of source points 
C) the destination points and their demand 
D) the cost of shipping one unit from each source to each destination 
E) All of these are needed.

Question 8

How might the transportation method be used to help a firm add a facility to an existing distribution network? You may wish to describe a simple example.

Accepted Answer

Assume that the existing network has two

Question 9

Consider the transportation problem and its optimal solution in the tables below.What is the value of the objective function?

Accepted Answer

A) 0 
B) $169 
C) 300 units 
D) $2,100 
E) $3,140 
A) 0 
B) $169 
C) 300 units 
D) $2,100 
E) $3,140

Question 10

The transportation method is a special case of the family of problems known as

Accepted Answer

A) regression problems. 
B) decision tree problems. 
C) linear programming problems. 
D) simulation problems. 
E) statistical problems. 
A) regression problems. 
B) decision tree problems. 
C) linear programming problems. 
D) simulation problems. 
E) statistical problems.

Question 11

The main difference between the intuitive lowest-cost method and the Northwest-corner rule is that

Accepted Answer

A) the intuitive lowest-cost method always generates a better solution. 
B) the Northwest-corner rule is faster. 
C) the Northwest-corner rule ignores cost. 
D) only the intuitive lowest-cost method generates an optimal solution. 
E) intuitive lowest-cost method is more accurate. 
A) the intuitive lowest-cost method always generates a better solution. 
B) the Northwest-corner rule is faster. 
C) the Northwest-corner rule ignores cost. 
D) only the intuitive lowest-cost method generates an optimal solution. 
E) intuitive lowest-cost method is more accurate.

Question 12

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

Accepted Answer

A) True 
 B)False

Question 13

A transportation problem has a feasible solution when

Accepted Answer

A) all of the improvement indices are greater than or equal to zero. 
B) all demand and supply constraints are satisfied. 
C) the number of filled cells is one less than the number of rows plus the number of columns. 
D) all the squares are used. 
E) the solution yields the lowest possible cost. 
A) all of the improvement indices are greater than or equal to zero. 
B) all demand and supply constraints are satisfied. 
C) the number of filled cells is one less than the number of rows plus the number of columns. 
D) all the squares are used. 
E) the solution yields the lowest possible cost.

Question 14

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?

Accepted Answer

The first solution is in the first table

Question 15

Which of the following is true for degenerate problems?

Accepted Answer

A) They do not contain a feasible solution. 
B) They cannot contain an optimal solution. 
C) Supply is greater than demand. 
D) Demand is greater than supply. 
E) None of the above. 
A) They do not contain a feasible solution. 
B) They cannot contain an optimal solution. 
C) Supply is greater than demand. 
D) Demand is greater than supply. 
E) None of the above.

Question 16

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?

Accepted Answer

A) 3 
B) 13.333 
C) 30 
D) 45 
E) 50 
A) 3 
B) 13.333 
C) 30 
D) 45 
E) 50

Question 17

A transportation problem has 10 origins and 32 destinations.How many possible routes are there for this problem? How many routes will be used in the optimal solution?

Accepted Answer

The number of possible routes is origins

Question 18

Upon completion of the northwest-corner rule,which source-destination cell is guaranteed to be occupied?

Accepted Answer

A) top-left 
B) top-right 
C) bottom-left 
D) bottom-right 
E) the cell with the lowest shipping cost (or at least one of them if there's a tie) 
A) top-left 
B) top-right 
C) bottom-left 
D) bottom-right 
E) the cell with the lowest shipping cost (or at least one of them if there's a tie)

Question 19

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?

Accepted Answer

A) 0 
B) -14 
C) -23 
D) -70 
E) 115 
A) 0 
B) -14 
C) -23 
D) -70 
E) 115

Question 20

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?

Accepted Answer

A) 1 
B) 5 
C) 30 
D) 45 
E) 50 
A) 1 
B) 5 
C) 30 
D) 45 
E) 50

Exam 23: Transportation Models

The information needs of a transportation problem include

The transportation model is a special class of linear programming models.

What does the stepping-stone method do?

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

A transportation model uses at least 10 sources and 100 destinations.If the ratio of sources to destinations remains constant,does the maximum % of cells used by the optimum solution remain constant? Why or why not?

The number of routes filled by a solution to a transportation problem is no larger than ________.

Which of the following is not needed in order to use the transportation model?

How might the transportation method be used to help a firm add a facility to an existing distribution network? You may wish to describe a simple example.

Consider the transportation problem and its optimal solution in the tables below.What is the value of the objective function?

The transportation method is a special case of the family of problems known as

The main difference between the intuitive lowest-cost method and the Northwest-corner rule is that

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

A transportation problem has a feasible solution when

Which of the following is true for degenerate problems?

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 has 10 origins and 32 destinations.How many possible routes are there for this problem? How many routes will be used in the optimal solution?

Upon completion of the northwest-corner rule,which source-destination cell is guaranteed to be occupied?

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?

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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