Problems for Section 68.1: Alternative Waiting Lines 1. Horton Williams Airport is a small municipal airport with two runways. One of these runways is devoted to planes tak- ing off. During peak time periods, about 8.5 planes per hour radio to the tower that they want to take off. The tower han- dles these requests in the order in which they arrive. Once the tower has given the go-ahead, it takes a plane, on aver- age, 5 minutes to position itself on the runway and take off. a. (*) On average, how many planes will be waiting dur- ing peak time periods? How many will be in the system (i.e., waiting and on the runway)? b. (*) How long, on average, will a plane have to wait be- fore it is allowed to take off? To deal with greater demand, Horton Williams Airport has opened a second runway devoted just to planes taking off. Peak demand has now been bumped up to 15 planes per hour. Furthermore, each plane still takes about 5 min- utes to position itself and take off once it has been given the go-ahead. c. (***) On average, how many planes will be waiting dur- ing peak time periods? How many will be in the system (i.e., waiting and on the runway)? d. (***) How long, on average, will a plane have to wait before it is allowed to take off