Question 1

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

Accepted Answer

The number of possible routes is origins

Question 2

A transportation model fills one-half of its cells under the 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 3

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

Accepted Answer

origins,or

Question 4

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 5

Neither the northwest corner rule nor the intuitive method considers shipping cost in making initial allocations.

Accepted Answer

A) True 
 B)False

Question 6

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 7

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 objective function.

Accepted Answer

(a)The optimal solut

Question 8

In a transportation problem,degeneracy means that

Accepted Answer

A) the problem was improperly constructed,and must be reformulated. 
B) the assumptions of the transportation model have not been met. 
C) the number of filled cells is too small to allow the calculation of improvement indices. 
D) the total supply and the total demand are unbalanced. 
E) the number of origins is not equal to the number of destinations. 
A) the problem was improperly constructed,and must be reformulated. 
B) the assumptions of the transportation model have not been met. 
C) the number of filled cells is too small to allow the calculation of improvement indices. 
D) the total supply and the total demand are unbalanced. 
E) the number of origins is not equal to the number of destinations.

Question 9

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 10

The ________ finds the least-cost means of shipping supplies from several origins to several destinations.

Accepted Answer

transporta

Question 11

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

Accepted Answer

A feasible solution,like in linear progr

Question 12

The purpose of the transportation approach for location analysis is to minimize

Accepted Answer

A) total costs. 
B) total variable costs. 
C) total fixed costs. 
D) total shipping costs. 
E) the number of shipments. 
A) total costs. 
B) total variable costs. 
C) total fixed costs. 
D) total shipping costs. 
E) the number of shipments.

Question 13

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 14

A transportation problem requires exactly as many origins as destinations.

Accepted Answer

A) True 
 B)False

Question 15

The Northwest-Corner rule's biggest flaw is that

Accepted Answer

A) it ignores costs. 
B) it cannot generate feasible solutions. 
C) it never generates ideal solutions. 
D) it ignores shipping time. 
E) There are no major flaws. 
A) it ignores costs. 
B) it cannot generate feasible solutions. 
C) it never generates ideal solutions. 
D) it ignores shipping time. 
E) There are no major flaws.

Question 16

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

Accepted Answer

The three steps in making an initial all

Question 17

Find the minimum cost solution for the transportation problem detailed in the table below.Explain carefully the meaning of any quantity in a "dummy" row or column.

Accepted Answer

The optimum solution,which costs $1370,a

Question 18

Given the following feasible solution determine if the problem is degenerate and then find the optimal solution and its cost.Assume that capacity for source A is 10 and 30 for source B.Destination A demands 10 units while destination B demands 30 units.Cost of shipping per unit is given as AA ($4),AB ($1),BA ($3),and BB ($2).

Accepted Answer

The number of cells used should be 4 - 1

Question 19

The intuitive method of generating an initial solution has different results for each problem solver because "intuition" varies from person to person.

Accepted Answer

A) True 
 B)False

Question 20

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.

Exam 23: Transportation Models

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

A transportation model fills one-half of its cells under the optimal solution.Which of the following most closely describes the number of sources compared to the number of destinations?

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

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

Neither the northwest corner rule nor the intuitive method considers shipping cost in making initial allocations.

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 objective function.

In a transportation problem,degeneracy means that

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.

The ________ finds the least-cost means of shipping supplies from several origins to several destinations.

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

The purpose of the transportation approach for location analysis is to minimize

The northwest-corner rule is best used

A transportation problem requires exactly as many origins as destinations.

The Northwest-Corner rule's biggest flaw is that

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

Find the minimum cost solution for the transportation problem detailed in the table below.Explain carefully the meaning of any quantity in a "dummy" row or column.

The intuitive method of generating an initial solution has different results for each problem solver because "intuition" varies from person to person.

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

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