The manager of a bank must determine how many tellers should work on Fridays. For every minute a customer stands in line, the manager believes that a delay cost of $0.5 is incurred. An average of 2 customers per minute arrive at the bank. On the average, it takes a teller 2 minutes to complete a customer’s transaction. It cost the bank $9 per hour to hire a teller. Interarrival times and service times are exponential. To minimize the sum of service costs and delay costs, how many tellers should the bank have working on Fridays?

Bonds often pay a coupon twice a year. for the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. using the values of cash flows and number of periods, the valuation model is adjusted accordingly. assume that a $1,000,000 par value, semiannual coupon us treasury note with three years to maturity has a coupon rate of 3%. the yield to maturity (ytm) of the bond is 7.70%. using this information and ignoring the other costs involved, calculate the value of the treasury note:

Afirm’s production function is represented by q(m,r) = 4m 3/4r1/3, where q denotes output, m raw materials, and r robots. the firm is currently using 6 units of raw materials and 12 robots. according to the mrts, in order to maintain its output level the firm would need to give up 2 robots if it adds 9 units of raw materials. (a) true (b) false

Suppose portugal has 700 workers and 26,000 units of capital, and france has 18,000 workers and 700 units of capital. technology is identical in both countries. assume that wine is the capital-intensive good and cloth is the labor-intensive good. which of the following statements is correct if the nations start trading with each other? a) wages will increase in portugal.b) rental rates in france will increase.c) wages in france will decrease.d) rental rates in portugal will increase.