1) The number of bus riders from the suburbs to downtown per day is represented by 1200(1.50-x), where x is the fare in dollars. What fare will maximize the total revenue?

#2 A large social part y follow the mathematical progression

N(t)=30t-t^2, where t is the time in minutes since the party began and N is the number of separate conversation occurring. At what time in a party do the most conversations occur? what is the maximum number of interactions?

#3A new cottage is built across the river and 300 m downstream from the nearest telephone station. The river is 120 m wide. In order to wire the cottage for phone service, wire will be laid across the river underwater, and along the edge of the river above ground. The cost to laywire under water is $15 per m and the cost to lay wire above ground is 10 per m. How much wire should be laid under water to minimize the cost?