A large state university has a parking problem, and a committee set up to explore possible solutions finds that two spots right on campus are not committed to some other use in the long range plan. Site I is very conveniently located; Site II is somewhat out of the way. The cheapest way to get a lot of cars on either site would be to build a standard multilevel pre$-$cast concrete structure. It would hold $400$ cars, cost $$2,000,000,$ would last for $25$ years, and would fit on either site. Since not every parking permit is used continuously at all times, it is estimated that a $400$ car garage would be used to capacity if $800$ annual permits were sold. A survey also shows that the demand for parking permits to use these garages would probably be as follows: $($The demand at Site II is lower than the demand at Site I since Site II is less conveniently located.$)$