There are four resources and four jobs to be done. Assume there must be one-to-one matching between jobs and resources. The time required for each resource to do each job is as follows: $$\begin{array} { c c c c c }
& { \text { Job (Hours) } } \
\text { Resource } & \text { A } & \text { B } & \text { C } & \text { D } \
1 & 5 & 8 & 7 & 7 \
2 & 4 & 9 & 5 & 9 \
3 & 6 & 9 & 8 & 7 \
4 & 7 & 6 & 6 & 9
\end{array}$$
After the row and column reductions, what is the resulting entry in the new table for assigning resource 4 to job D?
A) 0 hours
B) 2 hours
C) 3 hours
D) 6 hours
E) 9 hours

Question

There are four resources and four jobs to be done. Assume there must be one-to-one matching between jobs and resources. The time required for each resource to do each job is as follows: $$\begin{array} { c c c c c } 
& { \text { Job (Hours) } } \
\text { Resource } & \text { A } & \text { B } & \text { C } & \text { D } \
1 & 5 & 8 & 7 & 7 \
2 & 4 & 9 & 5 & 9 \
3 & 6 & 9 & 8 & 7 \
4 & 7 & 6 & 6 & 9
\end{array}$$
After the row and column reductions, what is the resulting entry in the new table for assigning resource 4 to job D?
A) 0 hours
B) 2 hours
C) 3 hours
D) 6 hours
E) 9 hours

Quizplus · Accepted Answer

After performing the row and column reductions, the resulting entry in the row corresponding to resource 4 and the column corresponding to job D is 2. Therefore, the time required for resource 4 to do job D is 2 hours. This is the minimum entry in the row and column for resource 4 and job D, respectively, indicating that this is the best choice.

There Are Four Resources and Four Jobs to Be Done