Question 1

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 2

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 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?

Accepted Answer

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

Question 4

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.Solve with the transportation method.Which site should be selected?

Accepted Answer

This problem requires two tran

Question 5

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?

Accepted Answer

A) 1 to 1 
B) 2 to 2 
C) 3 to 3 
D) 4 to 3 
E) 4 to 4 
A) 1 to 1 
B) 2 to 2 
C) 3 to 3 
D) 4 to 3 
E) 4 to 4

Question 6

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 7

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

Accepted Answer

A) True 
 B)False

Question 8

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,respectively.From B,these costs would be $11,$14,and $8,respectively.The new source,wherever it is located,will have a capacity of 500 units.Set up this problem as two separate transportation matrices.(Do not solve the problem. )

Accepted Answer

The setup requires t

Question 9

A transportation problem with 8 sources and 6 destinations will have an optimal solution that uses at most 13 of the 48 possible routes.

Accepted Answer

A) True 
 B)False

Question 10

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

Accepted Answer

The answer of ________ is an occurrence in transportation problems...

Question 11

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.

Accepted Answer

A) True 
 B)False

Question 12

When using the stepping-stone method,the improvement index for an unused cell equals the shipping cost associated with that cell.

Accepted Answer

A) True 
 B)False

Question 13

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 14

When does degeneracy occur in a transportation model?

Accepted Answer

Degeneracy occurs when the num

Question 15

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

Accepted Answer

First develop equations for the number o

Question 16

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

Accepted Answer

A) True 
 B)False

Question 17

The Shamrock Transportation Company has four terminals: A,B,C,and D.At the start of a particular day,there are 8,8,6,and 3 tractors available at those terminals,respectively.During the previous night,trailers were loaded at plants R,S,T,and U.The number of trailers at each plant is 2,12,5,and 6,respectively.The company dispatcher has determined the distances between each terminal and each plant,as follows.How many tractors should be dispatched from each terminal to each plant in order to minimize the total number of miles traveled?

Accepted Answer

The optimal solution

Question 18

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.

Accepted Answer

The number of filled cells in a solved t

Question 19

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

Accepted Answer

A) True 
 B)False

Question 20

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

Accepted Answer

A) True 
 B)False

Exam 24: Transportation Models

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

Which of the following is NOT needed in order to use the 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?

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?

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.

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

A transportation problem with 8 sources and 6 destinations will have an optimal solution that uses at most 13 of the 48 possible routes.

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

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.

When using the stepping-stone method,the improvement index for an unused cell equals the shipping cost associated with that cell.

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

When does degeneracy occur in a transportation model?

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

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

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.

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

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

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