Reference no: EM131793264

The Ponchatrain Bridge is a? 16-mile toll bridge that crosses Lake Ponchatrain in New Orleans.? Currently, there are 7 toll? booths, each staffed by an employee. Since Hurricane? Katrina, the Port Authority has been considering replacing the employees with machines. Many factors must be considered because the employees are unionized. ? However, one of the Port? Authority's concerns is the effect that replacing the employees with machines will have on the times that drivers spend in the system. Customers arrive to any one toll booth at a rate of 10 per minute. In the exact change lanes with? employees, the service time is essentially constant at 5 seconds for each driver. With? machines, the average service time would still be 5 ?seconds, but it would be exponential rather than? constant, because it takes time for the coins to rattle around in the machine.

For the? "Exact Change? Lane" with employee

The average time driver spends waiting to pay the toll ?= ? seconds? (round your response to two decimal? places).

The average time spent by a driver in the toll system? (waiting and? paying) ?= ?seconds? (round your response to two decimal? places).

The average number of drivers waiting in the line to pay the toll at a toll booth?= ?drivers? (round your response to two decimal? places).

The average number of drivers at any toll? booth, namely, in the system ?= ?drivers? (round your response to two decimal? places).

For the lane with the proposed machine

The average time driver spends waiting to pay the toll ?= ?seconds? (round your response to two decimal? places).

The average time spent by a driver in the toll system? (waiting and? paying) ?= ?seconds? (round your response to two decimal? places).

The average number of drivers waiting in the line to pay the toll at a toll booth?= ?drivers? (round your response to two decimal? places).

The average number of drivers at any toll? booth, namely, in the system ?= ?drivers? (round your response to two decimal? places).

As a result of proposed? change, the average time spent per driver waiting in the line to pay the toll increases by ?%? (round your response to the nearest whole? number).

As a result of proposed? change, the average time spent per driver in the toll system increases by ?%(round your response to the nearest whole? number).

As a result of proposed? change, the average number of drivers waiting in the line to pay the toll increases by ?%? (round your response to the nearest whole? number).

As a result of proposed? change, the average number of drivers at any toll booth increases by ?%(round your response to the nearest whole? number).