Question 1

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

Accepted Answer

transporta

Question 2

Upon completion of the northwest-corner rule, which source-destination cell is guaranteed to be occupied?

Accepted Answer

A)  top-left 
B)  top-right 
C)  bottom-left 
D)  bottom-right 
E)  the cell with the lowest shipping cost (or at least one of them if there's a tie) 
A)  top-left 
B)  top-right 
C)  bottom-left 
D)  bottom-right 
E)  the cell with the lowest shipping cost (or at least one of them if there's a tie)

Question 3

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 4

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 5

__________ is an occurrence in transportation problems when too few shipping routes are being used to allow calculation of improvement indices.

Accepted Answer

The answer of __________ is an occurrence in transportation problems...

Question 6

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 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

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 9

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 10

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.
 $$\begin{array} { | l | c | c | c | } 
\hline & \text { Destination 1 } & \text { Destination 2 } & \text { Dummy Destination } \
\hline \text { Source A } & 5 & 10 & \
\hline \text { Source B } & & 10 & 20 \
\hline
\end{array}$$

Accepted Answer

Students should realize the ne

Question 11

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 12

In formulating a transportation problem, you discover that one of the route combinations is forbidden by contract, or prohibited by law, or ruled out by company policy. How would you indicate the cost of that cell in preparing the problem to be solved?

Accepted Answer

The easiest way to "prohibit" a route is

Question 13

Consider the transportation problem in the data set and optimal solution below.
Calculate improvement indices on each empty cell. Is this solution optimal?
 $\begin{array}{|l|r|r|r|r|r|}
\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest 4 } & \text { Supply } \
\hline \text { Source 1 } & 12 & 18 & 9 & 11 & 100 \
\hline\text { Source 2 } & 21 & 7 & 30 & 15 & 150 \
\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \
\hline\text { Demand } & 80 & 60 & 70 & 90 & 300/300 \
\hline & & & & & \
\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text {Row Total } \
\text { Source 1 } & 30 & 0 & 70 & 0 & 100 \
\text { Source 2 } & 0 & 60 & 0 & 90 & 150 \
\text { Source 3 } & 50 & 0 & 0 & 0 & 50 \
\text { Col. Total } & 80 & 60 & 70 & 90 & 300/300 \
\hline
\end{array}$

Accepted Answer

The soluti

Question 14

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 15

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?
$$\begin{array} { | l | r | r | r | r | } 
\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Supply } \
\hline \text { Source 1 } & 2 & 1 & 3 & 50 \
\hline \text { Source 2 } & 4 & 7 & 5 & 40 \
\hline \text { Source 3 } & 3 & 12 & 6 & 30 \
\hline \text { Demand } & 50 & 45 & 25 & 120 \backslash 120 \
\hline
\end{array}$$

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 16

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 17

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 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

In a minimization problem, a positive improvement index in a cell indicates that

Accepted Answer

A)  the solution is optimal 
B)  the total cost will increase if units are reallocated to that cell 
C)  there is degeneracy 
D)  the total cost will decrease if units are reallocated to that cell 
E)  the problem has no feasible solution 
A)  the solution is optimal 
B)  the total cost will increase if units are reallocated to that cell 
C)  there is degeneracy 
D)  the total cost will decrease if units are reallocated to that cell 
E)  the problem has no feasible solution

Question 20

One difference between the stepping-stone method compared to the Northwest-corner and intuitive method is that

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)  All of the above or None of the above. 
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)  All of the above or None of the above.

Exam 23: Transportation Models

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

Upon completion of the northwest-corner rule, which source-destination cell is guaranteed to be occupied?

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

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.

__________ is an occurrence in transportation problems when too few shipping routes are being used to allow calculation of improvement indices.

A transportation problem has a feasible solution when

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

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

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

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

In formulating a transportation problem, you discover that one of the route combinations is forbidden by contract, or prohibited by law, or ruled out by company policy. How would you indicate the cost of that cell in preparing the problem to be solved?

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

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? COSTS Dest. 1 Dest. 2 Dest. 3 Supply Source 1 2 1 3 50 Source 2 4 7 5 40 Source 3 3 12 6 30 Demand 50 45 25 120\backslash120

The Northwest-Corner rule's biggest flaw is that

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.

In a minimization problem, a positive improvement index in a cell indicates that

One difference between the stepping-stone method compared to the Northwest-corner and intuitive method is that

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