Question 1

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. D

Question 2

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

Accepted Answer

A) True 
 B)False  False

Question 3

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  False

Question 4

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 5

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 6

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.

Accepted Answer

Number of Cells is 1000X,numbe

Question 7

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 ________.

Accepted Answer

the cost of shipping

Question 8

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 9

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 10

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

Accepted Answer

the sum of

Question 11

When is it necessary to add dummy sources or destinations to a transportation problem?

Accepted Answer

It is necessary to add dummy s

Question 12

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

Accepted Answer

The answer of A transportation problem that has more units...

Question 13

For the problem data set below,what is the northwest-corner allocation to the cell Source 1 - Destination 2?

Accepted Answer

A) 0 
B) 15 
C) 25 
D) 45 
E) 35 
A) 0 
B) 15 
C) 25 
D) 45 
E) 35

Question 14

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

Accepted Answer

A) it minimizes cost. 
B) it ignores cost. 
C) all supply and demand conditions are satisfied. 
D) degeneracy does not exist. 
E) all cells are filled. 
A) it minimizes cost. 
B) it ignores cost. 
C) all supply and demand conditions are satisfied. 
D) degeneracy does not exist. 
E) all cells are filled.

Question 15

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 16

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 17

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 18

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

Accepted Answer

A) True 
 B)False

Question 19

A transportation problem requires exactly as many origins as destinations.

Accepted Answer

A) True 
 B)False

Question 20

The elements of a transportation problem that supply goods are referred to as ________.

Accepted Answer

origins,or

Exam 24: Transportation Models

The stepping-stone method:

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

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

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.

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

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

The northwest-corner rule is best used:

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

When is it necessary to add dummy sources or destinations to a transportation problem?

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

For the problem data set below,what is the northwest-corner allocation to the cell Source 1 - Destination 2?

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

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.

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

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

A transportation problem requires exactly as many origins as destinations.

The elements of a transportation problem that supply goods are referred to as ________.

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