Question 1

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 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 transportation model's optimal solution uses no more than 10% of cells and has 100 sources. Find the number of destinations.

Accepted Answer

First develop equations for the number o

Question 4

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 5

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 6

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 7

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? $\begin{array}{|l|r|r|r|r|r|}
\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest . 4 } & \text { Supply } \
\hline \text { Source 1 } & 12 & 18 & 9 & 11 & 45 \
\hline \text { Source 2 } & 19 & 7 & 30 & 15 & 145 \
\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \
\hline \text { Demand } & 80 & 30 & 70 & 60 & 240 /240 \
\hline
\end{array}$

$\begin{array}{|lrrrrr|}
\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest 4 } & \text { Row Total } \
\text { Source 1 } & 45 & 0 & 0 & 0 & 45 \
\text { Source 2 } & 35 & 30 & 70 & 10 & 145 \
\text { Source 3 } & 0 & 0 & 0 & 50 & 50 \
\text { Col. Total } & 80 & 30 & 70 & 60 & 240/240 \
\hline
\end{array}$

Accepted Answer

A)  0 
B)  -14 
C)  -23 
D)  -70 
E)  115 
A)  0 
B)  -14 
C)  -23 
D)  -70 
E)  115

Question 8

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 9

Which of the following is true for degenerate problems?

Accepted Answer

A)  They do not contain a feasible solution. 
B)  They cannot contain an optimal solution. 
C)  Supply is greater than demand. 
D)  Demand is greater than supply. 
E)  None of the above 
A)  They do not contain a feasible solution. 
B)  They cannot contain an optimal solution. 
C)  Supply is greater than demand. 
D)  Demand is greater than supply. 
E)  None of the above

Question 10

Consider the transportation problem and its optimal solution in the tables below. What is the value of the objective function? $\begin{array}{|lr|r|r|r|r|}
\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Supply } \
\hline \text { Source 1 } & 12 & 18 & 9 & 11 & 105 \
\hline \text { Source 2 } & 19 & 7 & 30 & 15 & 145 \
\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \
\hline \text { Demand } & 80 & 60 & 70 & 90 & 300/300 \
\hline
\end{array}$

$\begin{array}{|lrrrrr|}
\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Row Total } \
\text { Source 1 } & 30 & 0 & 70 & 5 & 105 \
\text { Source 2 } & 0 & 60 & 0 & 85 & 145 \
\text { Source 3 } & 50 & 0 & 0 & 0 & 50 \
\text { Col. Total } & 80 & 60 & 70 & 90 & 300 \backslash 300 \
\hline
\end{array}$

Accepted Answer

A)  0 
B)  $169 
C)  300 units 
D)  $2,100 
E)  $3,140 
A)  0 
B)  $169 
C)  300 units 
D)  $2,100 
E)  $3,140

Question 11

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

Accepted Answer

transporta

Question 12

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 13

In a transportation problem, degeneracy means that

Accepted Answer

A)  the problem was improperly constructed, and must be reformulated. 
B)  the assumptions of the transportation model have not been met. 
C)  the number of filled cells is too small to allow the calculation of improvement indices. 
D)  the total supply and the total demand are unbalanced. 
E)  the number of origins is not equal to the number of destinations. 
A)  the problem was improperly constructed, and must be reformulated. 
B)  the assumptions of the transportation model have not been met. 
C)  the number of filled cells is too small to allow the calculation of improvement indices. 
D)  the total supply and the total demand are unbalanced. 
E)  the number of origins is not equal to the number of destinations.

Question 14

A transportation model fills one-half of its cells under the 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 15

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

Accepted Answer

A) True 
 B)False

Question 16

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: $$\begin{array} { | l | r | r | r | r | } 
\hline \text { COSTS } & \text { Plant 1 } & \text { Plant 2 } & \text { Plant 3 } & \text { Supply } \
\hline\text { Raw material source 1 } & \$ 6 & \$ 6 & \$ 9 & 400 \
\hline \text { Raw material source 2 } & \$ 4 & \$ 7 & \$ 3 & 600 \
\hline \text { Demand }  & 500 & 500 & 500 & 1500 \backslash 1000 \
\hline
\end{array}$$ 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, $10 to Plant 2, and $12 to Plant 3. From B, these costs would be $11, $14, and $8. The new source, wherever it is located, will have a capacity of 500 units. Set up-but do not solve-this problem as though you were going to solve it with transportation problem software.

Accepted Answer

The setup requires t

Question 17

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

Accepted Answer

It is necessary to add dummy s

Question 18

For the problem below, what is the quantity assigned to the cell Source 1-Destination 2 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)  1 
B)  5 
C)  30 
D)  45 
E)  50 
A)  1 
B)  5 
C)  30 
D)  45 
E)  50

Question 19

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

Accepted Answer

A) True 
 B)False

Question 20

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

Exam 20: Transportation Models

The Northwest-Corner rule's biggest flaw is that

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

A transportation model's optimal solution uses no more than 10% of cells and has 100 sources. Find 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.

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.

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

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

Which of the following is true for degenerate problems?

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

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.

In a transportation problem, degeneracy means that

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

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

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

For the problem below, what is the quantity assigned to the cell Source 1-Destination 2 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

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

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

Operations and Productivity

Operations Strategy in a Global Environment

Project Management

Forecasting

Design of Goods and Services

Managing Quality

Process Strategy and Sustainability

Location Strategies

Layout Strategies

Human Resources, Job Design, and Work Measurement

Supply-Chain Management

Inventory Management

Aggregate Planning

Material Requirements Planning Mrp and Erp

Short-Term Scheduling

Lean Operations

Maintenance and Reliability

Decision-Making Tools

Linear Programming

Waiting-Line Models

Learning Curves

Simulation

Supply Chain Management Analytics

Sustainability in the Supply Chain

Statistical Process Control

Capacity and Constraint Management

Filters