Question 1

In a transportation minimization problem,the negative improvement index associated with a cell indicates that reallocating units to that cell would lower costs.

Accepted Answer

A) True 
 B)False  True

Question 2

Degeneracy in a transportation problem is when no closed path exists for evaluating an unused cell.

Accepted Answer

A) True 
 B)False  True

Question 3

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 shipping cost.

Accepted Answer

(a)The optimal solution is shown in the solution below. (b)The minimum cost is $675.

Question 4

When does degeneracy occur in a transportation model?

Accepted Answer

Degeneracy occurs when the num

Question 5

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

Question 6

The northwest-corner rule is best used:

Accepted Answer

A) to minimize the total shipping cost from several origins to several destinations. 
B) to calculate whether a feasible solution is also an optimal solution. 
C) to calculate how much to transfer from one shipping route to another. 
D) to generate an initial feasible solution to a transportation problem. 
E) to resolve cases of degeneracy in transportation problems. 
A) to minimize the total shipping cost from several origins to several destinations. 
B) to calculate whether a feasible solution is also an optimal solution. 
C) to calculate how much to transfer from one shipping route to another. 
D) to generate an initial feasible solution to a transportation problem. 
E) to resolve cases of degeneracy in transportation problems.

Question 7

State,in order,the three steps in making an initial allocation with the northwest-corner rule.

Accepted Answer

(1)Exhaust the supply (factor capacity)o

Question 8

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 total shipping cost.

Accepted Answer

The value of the tot

Question 9

In transportation model analysis,the stepping-stone method is used to:

Accepted Answer

A) identify a dummy origin point. 
B) obtain an initial feasible solution. 
C) evaluate empty cells for possible degeneracy. 
D) balance supply and demand. 
E) evaluate empty cells for potential solution improvements. 
A) identify a dummy origin point. 
B) obtain an initial feasible solution. 
C) evaluate empty cells for possible degeneracy. 
D) balance supply and demand. 
E) evaluate empty cells for potential solution improvements.

Question 10

When the number of shipments in a feasible solution is less than the number of rows plus the number of columns minus one:

Accepted Answer

A) the solution is optimal. 
B) a dummy source must be created. 
C) a dummy destination must be created. 
D) there is degeneracy,and an artificial allocation must be created. 
E) the closed path has a triangular shape. 
A) the solution is optimal. 
B) a dummy source must be created. 
C) a dummy destination must be created. 
D) there is degeneracy,and an artificial allocation must be created. 
E) the closed path has a triangular shape.

Question 11

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

Accepted Answer

A) True 
 B)False

Question 12

Which of the following combinations of sources and destinations would fill no more than 25% of cells with quantities to be shipped for the optimal solution?

Accepted Answer

A) 1 to 1 
B) 1 to 4 
C) 4 to 1 
D) 8 to 2 
E) 5 to 16 
A) 1 to 1 
B) 1 to 4 
C) 4 to 1 
D) 8 to 2 
E) 5 to 16

Question 13

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?

Accepted Answer

A) 2 sources,4 destinations 
B) 3 sources,3 destinations 
C) 4 sources,2 destinations 
D) 5 sources,1 destination 
E) None of the above are degenerate. 
A) 2 sources,4 destinations 
B) 3 sources,3 destinations 
C) 4 sources,2 destinations 
D) 5 sources,1 destination 
E) None of the above are degenerate.

Question 14

A transportation problem has 4 origins and 2 destinations.The optimal solution of this problem will fill no more than ________ cells with quantities to be shipped.

Accepted Answer

A) 5 
B) 6 
C) 8 
D) 20 
E) All cells will be occupied. 
A) 5 
B) 6 
C) 8 
D) 20 
E) All cells will be occupied.

Question 15

A transportation problem requires exactly as many origins as destinations.

Accepted Answer

A) True 
 B)False

Question 16

The ________ is an iterative technique for moving from an initial feasible solution to an optimal solution in the transportation method.

Accepted Answer

stepping-s

Question 17

When using the stepping-stone method for a minimization problem,the number of units that reallocates corresponds to the smallest number found in the cells containing minus signs.

Accepted Answer

A) True 
 B)False

Question 18

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

Accepted Answer

A feasible solution,like in linear progr

Question 19

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

Accepted Answer

A) solution is optimal. 
B) total cost will increase if units are reallocated to that cell. 
C) current iteration is worse than the previous one. 
D) total cost will decrease if units are reallocated to that cell. 
E) problem has no feasible solution. 
A) solution is optimal. 
B) total cost will increase if units are reallocated to that cell. 
C) current iteration is worse than the previous one. 
D) total cost will decrease if units are reallocated to that cell. 
E) problem has no feasible solution.

Question 20

A transportation problem has two origins: A can supply 20 units and B can supply 30 units.This problem has two destinations: C requires 25 units and D requires 35 units.Which of the following is true?

Accepted Answer

A) The problem will require a dummy demand with a capacity of 10 units. 
B) The problem is unbalanced and cannot be solved by the transportation method. 
C) The problem will require a dummy supply with a capacity of 10 units. 
D) Destinations C and D must each receive 5 units less than they require. 
E) None of the above is true. 
A) The problem will require a dummy demand with a capacity of 10 units. 
B) The problem is unbalanced and cannot be solved by the transportation method. 
C) The problem will require a dummy supply with a capacity of 10 units. 
D) Destinations C and D must each receive 5 units less than they require. 
E) None of the above is true.

Exam 24: Transportation Models

In a transportation minimization problem,the negative improvement index associated with a cell indicates that reallocating units to that cell would lower costs.

Degeneracy in a transportation problem is when no closed path exists for evaluating an unused cell.

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 shipping cost.

When does degeneracy occur in a transportation model?

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?

The northwest-corner rule is best used:

State,in order,the three steps in making an initial allocation with the northwest-corner rule.

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 total shipping cost.

In transportation model analysis,the stepping-stone method is used to:

When the number of shipments in a feasible solution is less than the number of rows plus the number of columns minus one:

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

Which of the following combinations of sources and destinations would fill no more than 25% of cells with quantities to be shipped for the optimal solution?

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?

A transportation problem has 4 origins and 2 destinations.The optimal solution of this problem will fill no more than ________ cells with quantities to be shipped.

A transportation problem requires exactly as many origins as destinations.

The ________ is an iterative technique for moving from an initial feasible solution to an optimal solution in the transportation method.

When using the stepping-stone method for a minimization problem,the number of units that reallocates corresponds to the smallest number found in the cells containing minus signs.

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

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

A transportation problem has two origins: A can supply 20 units and B can supply 30 units.This problem has two destinations: C requires 25 units and D requires 35 units.Which of the following is true?

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