Question 1

What purpose does the northwest-corner rule serve?

Accepted Answer

The northwest-corner is a procedure used with the transportation model that starts in the upper left-hand cell and systematically allocates units to shipping routes. Its purpose is to generate an initial feasible solution.

Question 2

A transportation problem has 4 origins and 5 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. C

Question 3

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 B

Question 4

A transportation problem has 7 origins and 11 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 5

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

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 6

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 shipping cost.

Accepted Answer

(a) The optimal solu

Question 7

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 8

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 9

The ________ is an iterative technique for moving from an initial feasible solution to an optimal solution in the transportation method.

Accepted Answer

stepping-s

Question 10

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 11

When does degeneracy occur in a transportation model?

Accepted Answer

Degeneracy occurs when the num

Question 12

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 $1,435

Question 13

The ________ develops an initial feasible solution for a transportation model by starting at the upper left-hand cell of a table and systematically allocating units to shipping points.

Accepted Answer

northwest-

Question 14

The northwest-corner rule is a cost-based approach to finding an initial solution to a transportation problem.

Accepted Answer

A) True 
 B)False

Question 15

A transportation problem does not require exactly as many origins as destinations.

Accepted Answer

A) True 
 B)False

Question 16

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 17

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 18

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 19

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

Accepted Answer

A) True 
 B)False

Question 20

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

Accepted Answer

A) True 
 B)False

Exam 19: Transportation Models

What purpose does the northwest-corner rule serve?

A transportation problem has 4 origins and 5 destinations. The optimal solution of this problem will fill no more than ________ cells with quantities to be shipped.

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 problem has 7 origins and 11 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?

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

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 shipping cost.

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

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

The ________ is an iterative technique for moving from an initial feasible solution to an optimal solution in the transportation method.

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

When does degeneracy occur in a transportation model?

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 ________ develops an initial feasible solution for a transportation model by starting at the upper left-hand cell of a table and systematically allocating units to shipping points.

The northwest-corner rule is a cost-based approach to finding an initial solution to a transportation problem.

A transportation problem does not require exactly as many origins as destinations.

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

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

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.

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

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

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