Question

1. A 600-room hotel in Las Vegas is filled to capacity every night at a price of $106 per room. For each $1 increase in the room price, 3 fewer rooms are rented. If each rented room costs $10 to service per day, how much should the management charge for each room to maximize the total profit?

2. Find the absolute maximum and absolute minimum values (if they exist) of f(x) = ln x/ x on the interval (0, ∞).

3. Let f(x) = e ^−x ^2 . Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).

Answer 1