Calls arrive at Lynn Ann Fish’s hotel switchboard at a rate of 2 per minute. The average time to handle each is 20 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation

a) What is the probability that the operator is busy?
b) What is the average time that a customer must wait before reaching the operator?
c) What is the average number of calls waiting to be answered?

Companies hd and ld are both profitable, and they have the same total assets (ta), total invested capital, sales (s), return on assets (roa), and profit margin (pm). both firms finance using only debt and common equity. however, company hd has the higher total debt to total capital ratio. which of the following statements is correct? a) company hd has a higher assets turnover than company ld. b) company hd has a higher return on equity than company ld. c) none of the other statements are correct because the information provided on the question is not enough. d) company hd has lower total assets turnover than company ld. e) company hd has a lower operating income (ebit) than company ld

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.

Popeye produces 20 cans of spinach in 8 hours. wimpy produces 15 hamburgers in 10 hours. if each hamburger trades for 1.5 cans of spinach, then: a.wimpy’s production and productivity are greater than popeye’s. b.popeye’s production is greater than wimpy’s, but his productivity is less. c.wimpy’s production is greater than popeye’s, but his productivity is less. d.popeye’s production and productivity are greater than wimpy’s.