Question 1

A transportation problem has improvement indices of 5,4,0,and -3.Which of the following is always true?

Accepted Answer

A) The transportation model is at its ideal solution. 
B) The transportation model is at a feasible solution. 
C) The total cost saved by changing one unit on the route with an improvement index of 5 would be $5. 
D) The transportation matrix has four empty squares. 
E) The transportation model is at a feasible solution and the transportation matrix has four empty squares 
A) The transportation model is at its ideal solution. 
B) The transportation model is at a feasible solution. 
C) The total cost saved by changing one unit on the route with an improvement index of 5 would be $5. 
D) The transportation matrix has four empty squares. 
E) The transportation model is at a feasible solution and the transportation matrix has four empty squares

Question 2

Consider the transportation problem and its optimal solution in the tables below.The cell Source 3 - Destination 3 is currently empty.What would be the change in the objective function if the largest possible amount were shipped using that route,leaving all the supply and demand conditions unchanged?

Accepted Answer

A) 0 
B) fifty units 
C) a decrease of $9 
D) an increase of $450 
E) an increase of $630 
A) 0 
B) fifty units 
C) a decrease of $9 
D) an increase of $450 
E) an increase of $630

Question 3

Suppose the solution for a transportation model fills 5 cells with quantities to be shipped.Which of the following combinations of sources and destinations would be degenerate?

Accepted Answer

A) 2 sources,4 destinations 
B) 3 sources,3 destinations 
C) 4 sources,2 destinations 
D) 5 sources,1 destination 
E) None of the above are degenerate. 
A) 2 sources,4 destinations 
B) 3 sources,3 destinations 
C) 4 sources,2 destinations 
D) 5 sources,1 destination 
E) None of the above are degenerate.

Question 4

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

Accepted Answer

It is necessary to add dummy s

Question 5

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 6

When using the stepping stone method,the closed path sometimes has the shape of a triangle as diagonal moves are permitted.

Accepted Answer

A) True 
 B)False

Question 7

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 8

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 9

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 10

The transportation model is an excellent tool for minimizing shipping costs among existing facilities,but it is not useful when firms consider new facility locations.

Accepted Answer

A) True 
 B)False

Question 11

Which of the following combinations of sources and destinations would fill no more than 25% of cells with quantities to be shipped for the optimal solution?

Accepted Answer

A) 1 to 1 
B) 1 to 4 
C) 4 to 1 
D) 8 to 2 
E) 5 to 16 
A) 1 to 1 
B) 1 to 4 
C) 4 to 1 
D) 8 to 2 
E) 5 to 16

Question 12

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

Accepted Answer

A) True 
 B)False

Question 13

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 14

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) the Northwest-corner and intuitive method guarantees sub-optimal solutions. 
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 Northwest-corner and intuitive method guarantees sub-optimal solutions.

Question 15

When does degeneracy occur in a transportation model?

Accepted Answer

Degeneracy occurs when the num

Question 16

The Shamrock Transportation Company has four terminals: A,B,C,and D.At the start of a particular day,there are 8,8,6,and 3 tractors available at those terminals,respectively.During the previous night,trailers were loaded at plants R,S,T,and U.The number of trailers at each plant is 2,12,5,and 6,respectively.The company dispatcher has determined the distances between each terminal and each plant,as follows.How many tractors should be dispatched from each terminal to each plant in order to minimize the total number of miles traveled?

Accepted Answer

The optimal solution

Question 17

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 18

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 19

When the number of shipments in a feasible solution is less than the number of rows plus the number of columns minus one

Accepted Answer

A) the solution is optimal. 
B) a dummy source must be created. 
C) a dummy destination must be created. 
D) there is degeneracy,and an artificial allocation must be created. 
E) the closed path has a triangular shape. 
A) the solution is optimal. 
B) a dummy source must be created. 
C) a dummy destination must be created. 
D) there is degeneracy,and an artificial allocation must be created. 
E) the closed path has a triangular shape.

Question 20

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

Exam 23: Transportation Models

A transportation problem has improvement indices of 5,4,0,and -3.Which of the following is always true?

Suppose the solution for a transportation model fills 5 cells with quantities to be shipped.Which of the following combinations of sources and destinations would be degenerate?

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

An improvement index indicates

When using the stepping stone method,the closed path sometimes has the shape of a triangle as diagonal moves are permitted.

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.

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.Calculate improvement indices on each empty cell.Is this solution optimal?

The transportation model is an excellent tool for minimizing shipping costs among existing facilities,but it is not useful when firms consider new facility locations.

Which of the following combinations of sources and destinations would fill no more than 25% of cells with quantities to be shipped for the optimal solution?

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

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

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

When does degeneracy occur in a transportation model?

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

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

When the number of shipments in a feasible solution is less than the number of rows plus the number of columns minus one

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