Question 1

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 2

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 3

The transportation model is an excellent tool for minimizing shipping costs among existing facilities,but it is not useful when firms consider new facility locations.

Accepted Answer

A) True 
 B)False

Question 4

For the data below,construct an initial feasible solution using the northwest-corner rule.

Accepted Answer

Step 1: The smaller value at the interse

Question 5

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 6

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 7

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.

Accepted Answer

A) 2 
B) 13 
C) 14 
D) 48 
E) Cannot be calculated without knowing the supply and demand totals. 
A) 2 
B) 13 
C) 14 
D) 48 
E) Cannot be calculated without knowing the supply and demand totals.

Question 8

Consider the transportation data set for a minimization problem below.   a.Calculate the initial solution using the northwest-corner rule.
b.Calculate improvement indices,iterate,and solve for the optimal shipping pattern.

Accepted Answer

The initial solution and impro

Question 9

A transportation problem has 6 origins and 12 destinations.How many possible routes are there for this problem? What is the maximum number of routes that will be used in the optimal solution?

Accepted Answer

The number of possible routes equals ori

Question 10

An improvement index indicates:

Accepted Answer

A) whether a method other than the stepping-stone should be used. 
B) whether a method other than the northwest-corner rule should be used. 
C) how much total cost would increase or decrease if a single unit was reallocated to that cell. 
D) whether the transportation cost in the upper left-hand corner of a cell is optimal. 
E) how much total cost would increase or decrease if the largest possible quantity were reallocated to that cell. 
A) whether a method other than the stepping-stone should be used. 
B) whether a method other than the northwest-corner rule should be used. 
C) how much total cost would increase or decrease if a single unit was reallocated to that cell. 
D) whether the transportation cost in the upper left-hand corner of a cell is optimal. 
E) how much total cost would increase or decrease if the largest possible quantity were reallocated to that cell.

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) None of the above is 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) None of the above is accurate.

Question 12

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 13

A large transportation problem has 220 origins and 1360 destinations.The optimal solution of this problem will fill no more than about ________ of cells with quantities to be shipped.

Accepted Answer

A) one-half of one percent 
B) five percent 
C) ten percent 
D) twenty-five 
E) All cells will be occupied. 
A) one-half of one percent 
B) five percent 
C) ten percent 
D) twenty-five 
E) All cells will be occupied.

Question 14

The stepping-stone method:

Accepted Answer

A) is an alternative to using the northwest-corner rule. 
B) often involves tracing closed paths with a triangular shape. 
C) is used to identify the relevant costs in a transportation problem. 
D) is used to evaluate the cost effectiveness of shipping goods via transportation routes not currently in the solution. 
E) helps determine whether a solution is feasible or not. 
A) is an alternative to using the northwest-corner rule. 
B) often involves tracing closed paths with a triangular shape. 
C) is used to identify the relevant costs in a transportation problem. 
D) is used to evaluate the cost effectiveness of shipping goods via transportation routes not currently in the solution. 
E) helps determine whether a solution is feasible or not.

Question 15

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 16

What purpose does the northwest-corner rule serve?

Accepted Answer

The northwest-corner is a procedure used

Question 17

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 18

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 19

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 20

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

Exam 24: Transportation Modeling

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

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

The transportation model is an excellent tool for minimizing shipping costs among existing facilities,but it is not useful when firms consider new facility locations.

For the data below,construct an initial feasible solution using the northwest-corner rule.

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?

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.

Consider the transportation data set for a minimization problem below. a.Calculate the initial solution using the northwest-corner rule. b.Calculate improvement indices,iterate,and solve for the optimal shipping pattern.

A transportation problem has 6 origins and 12 destinations.How many possible routes are there for this problem? What is the maximum number of routes that will be used in the optimal solution?

An improvement index indicates:

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

A transportation problem has a feasible solution when:

A large transportation problem has 220 origins and 1360 destinations.The optimal solution of this problem will fill no more than about ________ of cells with quantities to be shipped.

The stepping-stone method:

What purpose does the northwest-corner rule serve?

The northwest-corner rule is best used:

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.

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

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

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