Question 1

Given the following transportation tableau where the numbers in each cell represent transportation costs from the specific source to the specific destination with supply figures corresponding to each source and demand figures corresponding to each destination:
 $$\begin{array} { l c r c c c } 
& & &{ \text { Source } } \
& & \text { A } & \text { B } & \text { C } & \text { Demand } \
\hline  & 1 & \$ 2.2 & 2.4 & 2.1 & 350 \
{ \text { Destination } }& 2 & 3.4 & 3.2 & 3.6 & 400 \
& 3 & 1.9 & 1.8 & 2.1 & 200 \
Supply&&200 & 300 & 450\
\hline
\end{array}$$
-According to the Northwest Corner method, the initial solution would have a total transportation cost of ________.

Accepted Answer

The answer of Given the following transportation tableau where the...

Question 2

The supply and demand values along the outside rim of a tableau are called rim requirements.

Accepted Answer

A) True 
 B)False

Question 3

Transportation problems are solved manually within a tableau format.

Accepted Answer

A) True 
 B)False

Question 4

There are 4 jobs in a 4 person office that must be done as quickly as possible. The supervisor has used the assignment method to assign people to jobs, and has completed the first step. She had to rush off to a meeting and has asked to assign the jobs to the people before she returns. The original matrix which shows the expected completion time for each person for each job, and the one she just completed are both shown below.
 $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Job } & \text { Ruth } & \text { Steve } & \text { Valerie } & \text { Wayne } \
\hline \text { A } & 8 & 26 & 17 & 11 \
\hline \text { B } & 13 & 28 & 4 & 26 \
\hline \text { C } & 38 & 19 & 18 & 15 \
\hline \text { D } & 19 & 26 & 24 & 10 \
\hline
\end{array}$$ 
 $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Job } & \text { Ruth } & \text { Steve } & \text { Valerie } & \text { Wayne } \
\hline \text { A } & 0 & 18 & 9 & 3 \
\hline \text { B } & 9 & 24 & 0 & 22 \
\hline \text { C } & 23 & 4 & 3 & 0 \
\hline \text { D } & 9 & 16 & 14 & 0 \
\hline
\end{array}$$ 
Which person should be assigned to which job? How long will the jobs take?

Accepted Answer

The answer of There are 4 jobs in a 4...

Question 5

An opportunity cost table is developed by first subtracting the minimum value in each row from all other row values and then repeating this process for each column.

Accepted Answer

A) True 
 B)False

Question 6

Use the following table and the information to answer the questions below.
In the following transportation matrix, all cells except 2C have been evaluated and show no improvement. Evaluate that cell.
 
-How many units would be allocated to cell 2C?

Accepted Answer

A)  10 
B)  14 
C)  6 
D)  0 
E)  20

Question 7

A large book publisher has five manuscripts that must be edited as soon as possible. Five editors are available for doing the work; however, their working times on the various manuscripts will differ based on their backgrounds and interests. The publisher wants to use an assignment method to determine who does which manuscript. Estimates of editing times (in hours) for each manuscript by each editor are: $$\begin{array} { c} 
& &&{ \text { Editor } } \
\text { Manuscript } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } \
\hline 1 & 12 & 8 & 10 & 16 & 13 \
2 & 9 & 10 & 14 & 13 & 9 \
3 & 17 & 14 & 9 & 18 & 12 \
4 & 15 & 7 & 11 & 9 & 18 \
5 & 12 & 18 & 22 & 11 & 27 \
\hline
\end{array}$$ 
How many variables are involved in this assignment method?

Accepted Answer

The answer of A large book publisher has five manuscripts...

Question 8

$$\begin{array} { l l l l } 
& \text { SS } & 1 & 2 \
\hline
1 & 100 & 5 & 6 \
2 & 200 & 4 & 2 \
3 & 150 & 3 & 6 \
4 & 50 & 9 & 7 \
\hline \text { DD } & & 250 & 250
\end{array}$$ 
What are the demand-side constraints?

Accepted Answer

The answer of \[\begin{array} { l l l l }...

Question 9

In a balanced transportation model where supply equals demand, all constraints are equalities.

Accepted Answer

A) True 
 B)False

Question 10

Assignments are made to locations with 1 in the opportunity cost table.

Accepted Answer

A) True 
 B)False

Question 11

In a transportation problem, items are allocated from sources to destinations at a minimum cost.

Accepted Answer

A) True 
 B)False

Question 12

In the ________ method, the largest possible allocation is made to the cell in the upper-left-hand corner of the tableau, followed by allocations to adjacent feasible cells.

Accepted Answer

The answer of In the ________ method, the largest possible...

Question 13

An opportunity cost table is developed by first subtracting the minimum value in each row from all other row values and then repeating this process for each row.

Accepted Answer

A) True 
 B)False

Question 14

The two solution methods for transportation problems that do not require the use of a computer are ________ and ________.

Accepted Answer

The answer of The two solution methods for transportation problems...

Question 15

If the number of unique assignments is less than the number of rows, then a ________ test must be used.

Accepted Answer

The answer of If the number of unique assignments is...

Question 16

A company that repairs and maintains HVAC systems for businesses wants to assign three service teams to three geographical zones, one team to each zone. Because of the familiarity with each team to the companies located in a zone, there are differences in the efficiencies of each team, reflected in the service costs. The matrix below shows the service costs (in thousands of dollars) for each team in each zone. Assign each team to a zone that minimizes cost.

Accepted Answer

A)  Assign T1 to zone A, T2 to zone B, and T3 to zone C. 
B)  Assign T1 to zone A, T2 to zone C, and T3 to zone B. 
C)  Assign T1 to zone B, T2 to zone A, and T3 to zone C. 
D)  Assign T1 to zone B, T2 to zone C, and T3 to zone A. 
E)  Assign T1 to zone C, T2 to zone A, and T3 to zone B.

Question 17

In using the minimum cell cost method, as much as possible is allocated to the cell with the ________ cost.

Accepted Answer

The answer of In using the minimum cell cost method,...

Question 18

Canning Transport wants to move goods from three (3) factories to three (3) distribution centers. Information about the move is given below:
 $$\begin{array}{l}
\text { Supply at Source }\
\hline
\begin{array} { r r } 
50 & \mathrm {~~~~~~~~~A} \
100 & \mathrm {~B} \
150 & \mathrm { C }
\end{array}\
\hline
\end{array}$$ 
 $$\begin{array}{l}
\text { Demand at Destination }\
\begin{aligned}
\hline 50 & ~~~~~~~~~~~~~~~~~~~~~~~\text { I } \
125 & ~~~~~~~~~~~~~~~~~~~~~~~\text { II } \
125 & ~~~~~~~~~~~~~~~~~~~~~~~\text { III }
\end{aligned}
\end{array}$$ Shipping costs are (in $):
 $$\begin{array} { l r r r } 
& \text { I } & \text { II } & \text { III } \
\hline \text { A } & 3 & 2 & 5 \
\text { B } & 9 & 10 & 12 \
\text { C } & 5 & 6 & 4 \
\hline
\end{array}$$
-According to the Northwest Corner method, the initial solution would give to cell CIII a loading of ________.

Accepted Answer

The answer of Canning Transport wants to move goods from...

Question 19

In a transportation tableau to rectify a degenerate tableau, an empty cell must artificially be treated as an ________ cell.

Accepted Answer

The answer of In a transportation tableau to rectify a...

Question 20

A large book publisher has five manuscripts that must be edited as soon as possible. Five editors are available for doing the work; however, their working times on the various manuscripts will differ based on their backgrounds and interests. The publisher wants to use an assignment method to determine who does which manuscript. Estimates of editing times (in hours) for each manuscript by each editor are: $$\begin{array} { c} 
& &&{ \text { Editor } } \
\text { Manuscript } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } \
\hline 1 & 12 & 8 & 10 & 16 & 13 \
2 & 9 & 10 & 14 & 13 & 9 \
3 & 17 & 14 & 9 & 18 & 12 \
4 & 15 & 7 & 11 & 9 & 18 \
5 & 12 & 18 & 22 & 11 & 27 \
\hline
\end{array}$$ 
How many constraints are needed?

Accepted Answer

The answer of A large book publisher has five manuscripts...

Exam 18: Transportation and Assignment Solution Methods

The supply and demand values along the outside rim of a tableau are called rim requirements.

Transportation problems are solved manually within a tableau format.

An opportunity cost table is developed by first subtracting the minimum value in each row from all other row values and then repeating this process for each column.

Use the following table and the information to answer the questions below. In the following transportation matrix, all cells except 2C have been evaluated and show no improvement. Evaluate that cell. -How many units would be allocated to cell 2C?

$\begin{array} { l l l l } & \text { SS } & 1 & 2 \\\hline1 & 100 & 5 & 6 \\2 & 200 & 4 & 2 \\3 & 150 & 3 & 6 \\4 & 50 & 9 & 7 \\\hline \text { DD } & & 250 & 250\end{array}$ What are the demand-side constraints?

In a balanced transportation model where supply equals demand, all constraints are equalities.

Assignments are made to locations with 1 in the opportunity cost table.

In a transportation problem, items are allocated from sources to destinations at a minimum cost.

In the ________ method, the largest possible allocation is made to the cell in the upper-left-hand corner of the tableau, followed by allocations to adjacent feasible cells.

An opportunity cost table is developed by first subtracting the minimum value in each row from all other row values and then repeating this process for each row.

The two solution methods for transportation problems that do not require the use of a computer are and .

If the number of unique assignments is less than the number of rows, then a ________ test must be used.

In using the minimum cell cost method, as much as possible is allocated to the cell with the ________ cost.

In a transportation tableau to rectify a degenerate tableau, an empty cell must artificially be treated as an ________ cell.