Between Dalton, Georgia and Valdosta, Georgia all trucks traveling along Interstate 75 from 9:00AM to 5:00PM are required to stop at a weigh station. Trucks arrive at the station at a rate of 200 per 8 hour day, and the station can weigh, on average, 220 trucks per 8 hour day.

a-determine the average number of trucks waiting

b-determine the average time, in minutes, spent in the system

c-determine the average time, in minutes, spent waiting

If truck drivers find out they must remain at the weigh station longer than 15 minutes, on average, they will start taking a different route or traveling at night, thus depriving the state tax revenues. The state estimates it loses $10,000 per year in taxes for each extra minute trucks must remain at the weigh station. An addition scale can be installed for a cost of $50,000 per year.

d-explain why the state should or should not install the additional scale.