First year math

A sells X units and B sells Y units

Then 2X+5Y=24

∵ X≥0,Y≥0 and X,Y are integers

So the collation yields the following three kinds of results

X=12,Y=0

X=7,Y=2

X=2,Y=4

If we want the profit of B's apparatus to be at least three times that of A's

then the first must be excluded.