Assuming a 24 hour operation in a warehouse, and an arrival following poisson distribution with mean rate of 36 per day and service (unloading using a single bay) following exponential with a rate of 48 trucks per day, answer the following question. what is the expected number of trucks in the system?

(a) 2 hours
(b) 1 hour
(c) 1.5 hour
(d) 0.25 hour
(e) 0.5 hours

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Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.

Sauer food company has decided to buy a new computer system with an expected life of three years. the cost is $440,000. the company can borrow $440,000 for three years at 14 percent annual interest or for one year at 12 percent annual interest. assume interest is paid in full at the end of each year. a. how much would sauer food company save in interest over the three-year life of the computer system if the one-year loan is utilized and the loan is rolled over (reborrowed) each year at the same 12 percent rate? compare this to the 14 percent three-year loan.