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: $$\begin{array} { c c c c c }
& { \text { Job (Hours) } } \
\text { Resource } & \text { A } & \text { B } & \text { C } & \text { D } \
1 & 5 & 8 & 7 & 7 \
2 & 4 & 9 & 5 & 9 \
3 & 6 & 9 & 8 & 7 \
4 & 7 & 6 & 6 & 9
\end{array}$$
What is the optimal assignment of resources to jobs?
A) 1 to A; 2 to C; 3 to B; 4 to D
B) 1 to B; 2 to D; 3 to C; 4 to A
C) 1 to C; 2 to B; 3 to A; 4 to D
D) 1 to D; 2 to B; 3 to C; 4 to A
E) 1 to A; 2 to C; 3 to D; 4 to B

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: $$\begin{array} { c c c c c } 
&  { \text { Job (Hours) } } \
\text { Resource } & \text { A } & \text { B } & \text { C } & \text { D } \
1 & 5 & 8 & 7 & 7 \
2 & 4 & 9 & 5 & 9 \
3 & 6 & 9 & 8 & 7 \
4 & 7 & 6 & 6 & 9
\end{array}$$
What is the optimal assignment of resources to jobs?
A) 1 to A; 2 to C; 3 to B; 4 to D
B) 1 to B; 2 to D; 3 to C; 4 to A
C) 1 to C; 2 to B; 3 to A; 4 to D
D) 1 to D; 2 to B; 3 to C; 4 to A
E) 1 to A; 2 to C; 3 to D; 4 to B

Quizplus · Accepted Answer

In order to minimize the total time required, we need to assign the resource with the smallest time required for each job. Using this method, the optimal assignment is:
Job 1: Resource A (5 hours)
Job 2: Resource C (5 hours)
Job 3: Resource D (7 hours)
Job 4: Resource B (6 hours)
This assignment has a total time required of 5+5+7+6= 23 hours, which is the minimum possible. Therefore, the best choice is E.

There Are Four Resources and Four Jobs to Be Done