One field representative services five customers for a computer manufacturer. Customers request assistance at an average (Poissondistributed) rate of once every four working days. The field representative can handle an average (Poisson-distributed) of one call per day. Determine the following: Use Table 1. a. The expected number of customers waiting. (Round your answer to 3 decimal places.) b. The average length of time customers must wait from the initial request for service until the service has been completed. (Round your answer to 2 decimal places.) c. The percentage of time the service rep will be idle. (Round your answer to 1 decimal place.) d. How much your answer to part a would be reduced if a second field rep were added? (Round your answer to 3 decimal places.) The manager of a regional warehouse must decide on the number of loading docks to request for a new facility in order to minimize the sum of dock costs and driver-truck costs. The manager has learned that each driver-truck combination represents a cost of $300 per day and that each dock plus loading crew represents a cost of $1,100 per day. Use Table 18.4. a. How many docks should be requested if trucks arrive at the rate of three per day, each dock can handle five trucks per day, and both rates are Poisson? b. An employee has proposed adding new equipment that would speed up the loading rate to 6 trucks per day. The equipment would cost an additional $100 per day for each dock. What is the lowest daily total cost that can be achieved with the new equipment? (Round your cost amount to 2 decimal places and all other calculations to 3 decimal places.)