The figure that follows depicts the mean (average) flow time for a job when the critical-ratio rule is used to dispatch workers at several machines required to complete the job. In the figure, WHN 1, WHN 2, and WHN 3 represent three different rules for determining when a worker should be transferred to another machine, and Where represents six rules for determining the machine to which the worker is transferred. Construct a 3×6 matrix A to represent these data, with entries rounded to the nearest integer.

Question

The figure that follows depicts the mean (average) flow time for a job when the critical-ratio rule is used to dispatch workers at several machines required to complete the job. In the figure, WHN 1, WHN 2, and WHN 3 represent three different rules for determining when a worker should be transferred to another machine, and Where represents six rules for determining the machine to which the worker is transferred. Construct a 3×6 matrix A to represent these data, with entries rounded to the nearest integer. ​  ​

Quizplus · Accepted Answer

The 3 x 6 matrix A should have entries rounded to the nearest integer, so we need to look at the figure and round each entry to the nearest integer. For example, the entry corresponding to WHN 1 and Where 1 is about 25.5, which should be rounded to 26. Similarly, we can round all the other entries and get the following matrix:

| 27 | 26 | 26 | 27 | 27 | 27 |
|----|----|----|----|----|----|
| 27 | 26 | 26 | 27 | 27 | 27 |
| 29 | 28 | 27 | 28 | 28 | 28 |

Therefore, the correct choice is B.

The Figure That Follows Depicts the Mean (Average) Flow Time