A woman has a building with 26 one-bedroom apartments, 40 two-bedroom apartments, and 60 three-bedroom apartments available to rent to students. She has set the rent at $500 per month for the one-bedroom units, $800 per month for the two- bedroom units, and $1150 per month for the three-bedroom units. She must rent to one student per bedroom, and zoning laws limit her to at most 250 students in this building. There are enough students available to rent all the apartments.
(a) How many of each type of apartment should she rent to maximize her revenue?
(b) What is the maximum possible revenue?
Involve three variables. Solve them with the simplex method, Excel, or some other technology.