- Mon Aug 17, 2020 1:51 am
Hey gabmarr! So I think you're asking about why, in the 1-2-2 distribution, each manager can only supervise one employee. (Because remember that in the 1-1-3 distribution, the manager can certainly supervise more than one employee! For example if G is the sole manager, she of course will supervise 2 technicians per our rules.)
Now, why is it that each manager in the 1-2-2 distribution only supervise one employee? Well, like you said, we know from Rule #3 that each manager has to supervise at least one employee. And we also know from the Setup that in this company, managers are only allowed to supervise technicians. And in this distribution we have 2 managers and only 2 technicians for them to supervise. So if the first manager supervised both technicians, there wouldn't be any technicians left for the second manager to supervise! That would violate Rule #3. Same thing if the second manager supervised both technicians, there wouldn't be anyone left for the first manager to supervise. (It's like this: if you and I both are going to eat at least one apple, and there's only two apples, then that means we both get exactly one apple!) So in this 1-2-2 distribution, each manager supervises exactly one technician.
Hope that helps!