1. The problem statement, all variables and given/known data A real estate office manages 50 apartments in a downtown building. When the rent is $900 per month, all the units are occupied. For ever $25 increase in rent, one unit becomes vacant. On average, all units require $75 in maintenance and repairs each month. How much rent should the real estate office charge to maximize profits. 2. The attempt at a solution Total = (Number of apartments)(Monthly rent) T = (50 + 25x)(900-75x) T = (45000 - 3750x + 22500x - 1875x2) T = -1875x2 + 18750x + 45000 T' = -3750x + 18750 0 = -3750x + 18750 3750x = 18750 x = 5 I'm not sure if I'm actually doing this correctly or if I'm getting anywhere that's actually correct. The answer is: $1100 or $1125. Suggestions are welcome and helpful! Thanks!