Question 1

The transportation model is a special class of linear programming models.

Accepted Answer

A) True 
 B)False

Question 2

A transportation model uses at least 10 sources and 100 destinations. If the ratio of sources to destinations remains constant, does the maximum % of cells used by the optimum solution remain constant? Why or why not?

Accepted Answer

Students should approach this problem in

Question 3

When using the stepping-stone method, the improvement index for an unused cell equals the shipping cost associated with that cell.

Accepted Answer

A) True 
 B)False

Question 4

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 an infeasible 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)  Both B and D 
A)  The transportation model is at its ideal solution. 
B)  The transportation model is at an infeasible 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)  Both B and D

Question 5

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 6

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 7 
E)  5 to 15 
A)  1 to 1 
B)  1 to 4 
C)  4 to 1 
D)  8 to 7 
E)  5 to 15

Question 7

The transportation method is a special case of the family of problems known as what?

Accepted Answer

A)  regression problems 
B)  decision tree problems 
C)  linear programming problems 
D)  simulation problems 
E)  statistical problems 
A)  regression problems 
B)  decision tree problems 
C)  linear programming problems 
D)  simulation problems 
E)  statistical problems

Question 8

A transportation problem has 15 origins and 30 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 is origins

Question 9

A transportation model fills one-half of its cells under the non-degenerate 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 10

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 11

The larger a transportation problem (that is, as the problem has more rows and more columns), the smaller the fraction of all possible routes that will be filled in a solved problem. Explain.

Accepted Answer

The number of filled cells in a solved t

Question 12

The main difference between the intuitive lowest-cost method and the northwest-corner rule is that:

Accepted Answer

A)  the intuitive lowest-cost method always generates a better solution. 
B)  the northwest-corner rule is faster. 
C)  the northwest-corner rule ignores cost. 
D)  only the intuitive lowest-cost method generates an optimal solution. 
E)  None of these is accurate. 
A)  the intuitive lowest-cost method always generates a better solution. 
B)  the northwest-corner rule is faster. 
C)  the northwest-corner rule ignores cost. 
D)  only the intuitive lowest-cost method generates an optimal solution. 
E)  None of these is accurate.

Question 13

One difference in the stepping-stone method compared to the northwest-corner and intuitive methods is:

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 stepping-stone method does not consider factory capacities. 
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 stepping-stone method does not consider factory capacities.

Question 14

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 15

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, $11 to Plant 2, and $10 to Plant 3. From B, these costs would be $12, $14, and $7. 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 transportation

Question 16

What does the stepping-stone method do?

Accepted Answer

The stepping-stone method is a

Question 17

A transportation problem has 100 origins and 99 destinations. The optimal solution of this problem will fill no more than ________ of cells with quantities to be shipped.

Accepted Answer

A)  one-half of one percent 
B)  five percent 
C)  two percent 
D)  twenty-five 
E)  All cells will be occupied. 
A)  one-half of one percent 
B)  five percent 
C)  two percent 
D)  twenty-five 
E)  All cells will be occupied.

Question 18

For the problem data set below, what is the northwest-corner allocation to the cell Source 1 - Destination 1?

Accepted Answer

A)  0 
B)  2 
C)  15 
D)  45 
E)  30 
A)  0 
B)  2 
C)  15 
D)  45 
E)  30

Question 19

A transportation problem has an optimal 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)  all origin-destination combinations have been made equally low in 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)  all origin-destination combinations have been made equally low in cost.

Question 20

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.

Exam 19: Transportation Models

The transportation model is a special class of linear programming models.

A transportation model uses at least 10 sources and 100 destinations. If the ratio of sources to destinations remains constant, does the maximum % of cells used by the optimum solution remain constant? Why or why not?

When using the stepping-stone method, the improvement index for an unused cell equals the shipping cost associated with that cell.

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

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?

The transportation method is a special case of the family of problems known as what?

A transportation problem has 15 origins and 30 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?

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

The larger a transportation problem (that is, as the problem has more rows and more columns), the smaller the fraction of all possible routes that will be filled in a solved problem. Explain.

The main difference between the intuitive lowest-cost method and the northwest-corner rule is that:

One difference in the stepping-stone method compared to the northwest-corner and intuitive methods is:

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

What does the stepping-stone method do?

A transportation problem has 100 origins and 99 destinations. The optimal solution of this problem will fill no more than ________ of cells with quantities to be shipped.

For the problem data set below, what is the northwest-corner allocation to the cell Source 1 - Destination 1?

A transportation problem has an optimal solution when:

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

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