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 $100 per day. how many docks should be requested if trucks arrive at the rate of three per day on average and each dock can handle five trucks per day on average. arrival of trucks follows a poisson distribution and loading time follows exponential distribution. (hint: in this problem, the average service rate, μ, is directly given to you)