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)

Rate of return douglas keel, a financial analyst for orange industries, wishes to estimate the rate of return for two similar-risk investments, x and y. douglas's research indicates that the immediate past returns will serve as reasonable estimates of future returns. a year earlier, investment x had a market value of $27 comma 000; and investment y had a market value of $46 comma 000. during the year, investment x generated cash flow of $2 comma 025 and investment y generated cash flow of $ 6 comma 770. the current market values of investments x and y are $28 comma 582 and $46 comma 000, respectively. a. calculate the expected rate of return on investments x and y using the most recent year's data. b. assuming that the two investments are equally risky, which one should douglas recommend? why?