We know that
• The work area has 3100 square feet.
,
• There must be 2 supervisors: their cubicles are 8 by 8.
,
• There must be 5 analytical staff: their cubicles are 6 by 7.
First, let's find the area of each supervisor cubicle.

There are two cubicles, so let's multiply

Now, let's find the area of each analytical staff cubicle.

There are 5 cubicles, let's multiply

Let's find the total area covered by these cubicles

If we divide this with the total area, we have

This means there can be nine times the given relation between cubicles.
Hence, there can be 18 supervisors' cubicles and 45 analytical staff cubicles.