Question 1

In a minimization problem,a negative improvement index in a cell indicates that the

Accepted Answer

A) solution is optimal. 
B) total cost will increase if units are reallocated to that cell. 
C) current iteration is worse than the previous one. 
D) total cost will decrease if units are reallocated to that cell. 
E) problem has no feasible solution. 
A) solution is optimal. 
B) total cost will increase if units are reallocated to that cell. 
C) current iteration is worse than the previous one. 
D) total cost will decrease if units are reallocated to that cell. 
E) problem has no feasible solution.

Question 2

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 3

An improvement index indicates

Accepted Answer

A) whether a method other than the stepping-stone should be used. 
B) whether a method other than the northwest-corner rule should be used. 
C) how much total cost would increase or decrease if a single unit was reallocated to that cell. 
D) whether the transportation cost in the upper left-hand corner of a cell is optimal. 
E) how much total cost would increase or decrease if the largest possible quantity were reallocated to that cell. 
A) whether a method other than the stepping-stone should be used. 
B) whether a method other than the northwest-corner rule should be used. 
C) how much total cost would increase or decrease if a single unit was reallocated to that cell. 
D) whether the transportation cost in the upper left-hand corner of a cell is optimal. 
E) how much total cost would increase or decrease if the largest possible quantity were reallocated to that cell.

Question 4

Total demand for a transportation model is 15 while total supply is 20.Which of the following should be included?

Accepted Answer

A) a dummy source of 20 units 
B) a dummy destination of 5 units 
C) a dummy source of 5 units 
D) a dummy destination of 20 units 
E) a dummy destination of 35 units 
A) a dummy source of 20 units 
B) a dummy destination of 5 units 
C) a dummy source of 5 units 
D) a dummy destination of 20 units 
E) a dummy destination of 35 units

Question 5

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

Accepted Answer

It is necessary to add dummy s

Question 6

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 7

Which of the following is not information needed for a transportation problem?

Accepted Answer

A) the cost of shipping one unit from each origin to each destination 
B) the set of destinations and the demand at each 
C) the set of origins and the demand at each origin 
D) the list of sources and the capacity at each 
E) None of the above are needed. 
A) the cost of shipping one unit from each origin to each destination 
B) the set of destinations and the demand at each 
C) the set of origins and the demand at each origin 
D) the list of sources and the capacity at each 
E) None of the above are needed.

Question 8

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 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

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

Accepted Answer

The lowest cost in the matrix is 7;assig

Question 11

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 12

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 13

A manufacturer of semiconductor "wafers" has been attempting to convert its operations to practices more in keeping with JIT principles.The firm is now paying much more attention to the transit time between one processing stage and the next.The plant has a somewhat haphazard pattern of machine locations,partly because the machines were purchased and installed at different times,partly from a shortage of floor space,and partly from previous experiments with work cells.The bottom line is this: there are four machines that perform a certain processing phase,and three machines that perform the next phase.All units of a large class of wafers go through these two phases.The table below displays the transit time,in minutes,from each machine of the first phase to each machine of the second.Machine 3 is not really 100 minutes away from machine B;the company has prohibited that combination because of quality problems associated with that specific pairing.Supply and demand quantities are in wafers processed per week.Develop a transit time minimizing solution for this firm.What is the total transit time of this solution? Which machines are fully utilized? Which machines have some capacity unused or requirements unfilled? Was the prohibition on the 3-B combination honored?

Accepted Answer

The solution appears in the software-gen

Question 14

When using the stepping stone method for a minimization problem,the number of units that reallocates corresponds to the smallest number found in the cells containing minus signs.

Accepted Answer

A) True 
 B)False

Question 15

Consider the transportation problem in the data set and optimal solution below.Verify by hand or by calculator (show your work)the value of the objective function.

Accepted Answer

The objective is $12

Question 16

Consider the transportation problem in the data set and optimal solution below.Calculate improvement indices on each empty cell.Is this solution optimal?

Accepted Answer

The soluti

Question 17

What is transportation modeling?

Accepted Answer

Transportation modeling finds

Question 18

To handle degeneracy,a very small quantity is placed in one of the unused squares.

Accepted Answer

A) True 
 B)False

Question 19

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 20

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

Exam 23: Transportation Models

In a minimization problem,a negative improvement index in a cell indicates that the

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.

An improvement index indicates

Total demand for a transportation model is 15 while total supply is 20.Which of the following should be included?

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

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

Which of the following is not information needed for a transportation problem?

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?

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

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

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

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

When using the stepping stone method for a minimization problem,the number of units that reallocates corresponds to the smallest number found in the cells containing minus signs.

Consider the transportation problem in the data set and optimal solution below.Verify by hand or by calculator (show your work)the value of the objective function.

Consider the transportation problem in the data set and optimal solution below.Calculate improvement indices on each empty cell.Is this solution optimal?

What is transportation modeling?

To handle degeneracy,a very small quantity is placed in one of the unused squares.

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

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?

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