A small college has two dining halls, named Ghastly and Ugg. It has been determined that 60% of the students who eat at Ghastly one night, eat at Ugg the following night, while 80% of the students who eat at Ugg one night, eat at Ghastly the following night.

There are 2800 students on the dining plan. Determine the steady state for this system. That is, determine the anticipated long-term numbers of students who eat at each dining hall per night.