Question 1

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 2

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 3

For the transportation problem below,construct an initial feasible solution using the intuitive method.

Accepted Answer

The lowest cost in the matrix is 7; assi

Question 4

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 5

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 6

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 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

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 9

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 10

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

Accepted Answer

A) True 
 B)False

Question 11

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 12

The transportation model seeks satisfactory,but not necessarily optimal,solutions for shipping goods from several origins to several destinations.

Accepted Answer

A) True 
 B)False

Question 13

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 14

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 15

Source A has capacity of 15,Source B has capacity of 30,Destination 1 has demand of 5 and Destination 2 has demand of 20.Fill in the following table with the correct initial solution for a northwest-corner method approach.

Accepted Answer

@#IMG-DLM& Students should realize the n

Question 16

Consider the transportation problem and its optimal solution in the tables below.What is total shipping cost?

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 17

One difference in the stepping-stone method compared to the northwest-corner and intuitive methods is:

Accepted Answer

A) the stepping-stone method never finds a feasible solution. 
B) the stepping-stone method ignores costs. 
C) the stepping-stone method ALWAYS finds a lower-cost solution. 
D) the stepping-stone method guarantees an optimal solution. 
E) the stepping-stone method does not consider factory capacities. 
A) the stepping-stone method never finds a feasible solution. 
B) the stepping-stone method ignores costs. 
C) the stepping-stone method ALWAYS finds a lower-cost solution. 
D) the stepping-stone method guarantees an optimal solution. 
E) the stepping-stone method does not consider factory capacities.

Question 18

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 19

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 20

What purpose does the northwest-corner rule serve?

Accepted Answer

The northwest-corner is a procedure used

Exam 24: Transportation Models

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?

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

For the transportation problem below,construct an initial feasible solution using the intuitive method.

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.

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

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

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 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.

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

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 transportation model seeks satisfactory,but not necessarily optimal,solutions for shipping goods from several origins to several destinations.

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

Source A has capacity of 15,Source B has capacity of 30,Destination 1 has demand of 5 and Destination 2 has demand of 20.Fill in the following table with the correct initial solution for a northwest-corner method approach.

Consider the transportation problem and its optimal solution in the tables below.What is total shipping cost?

One difference in the stepping-stone method compared to the northwest-corner and intuitive methods is:

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?

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

What purpose does the northwest-corner rule serve?

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