1) An apartment complex with 50 units will be at full capacity if rent is set at $800 per month. For every $25 increase in the monthly rent, one less unit will be rented out. Maintenance costs $50 per month for each occupied unit. What is the rent that maximizes the total profit? 2) A rectangle is bounded by the x-axis and the semicircle given by the equation y = v9 -x2 . What length and width should the rectangle have so that its area is a maximum? y = 19 - x2 P (x, y) Hint: The area of the rectangle should be A = 2xy