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:
Job (Hours)
Resource A B C D
1 5 8 7 7
2 4 9 5 9
3 6 9 8 7
4 7 6 6 9
What is the optimal assignment of resources to jobs?
Multiple Choice
1 to A; 2 to C; 3 to B; 4 to D
1 to B; 2 to D; 3 to C; 4 to A
1 to C; 2 to B; 3 to A; 4 to D
1 to D; 2 to B; 3 to C; 4 to A
1 to A; 2 to C; 3 to D; 4 to B

Answer 1

Answer:

1 → A ; 2 → C ; 3 → D ; 4 → B

Explanation:

From the given information, the table can be better structured as follows:

                       Job (Hours)

Resource               A                B               C                  D

1                              5                8                7                   7

2                             4                9                5                   9

3                             6                9                8                   7

4                             7                 6                6                   9

From the table, the allocation of resources is based on the minimum number of jobs i.e. time(hours) required to do all four tasks appropriately.

These are 1 → A ; 2 → C ; 3 → D ; 4 → B

Then, the time taken by this process is = (5 + 5 + 7 + 6)

= 23 hours