A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 4.0 per minute. In serving themselves, customers take about 12 seconds, exponentially distributed.

a.
How many customers would you expect to see on the average at the coffee urn?
b.
How long would you expect it to take to get a cup of coffee?
c.
What percentage of time is the urn being used?
d.
What is the probability that three or more people are in the cafeteria?
e.
If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 10 seconds, how does this change your answers to a and b?

ernst's electrical has a bond issue outstanding with ten years to maturity. these bonds have a $1,000 face value, a 5 percent coupon, and pay interest semiminusannually. the bonds are currently quoted at 96 percent of face value. what is ernst's pretax cost of debt?

The vaska company buys a patent on january 1, year one, and agrees to pay $100,000 per year for the next five years. the first payment is made immediately, and the payments are made on each january 1 thereafter. if a reasonable annual interest rate is 8 percent, what is the recorded value of the patent? 1. $378,4252. $431,2133. $468,9504. $500,000

The following accounts are denominated in pesos as of december 31, 2015. for reporting purposes, these amounts need to be stated in u.s. dollars. for each balance, indicate the exchange rate that would be used if a translation is made under the current rate method. then, again for each account, provide the exchange rate that would be necessary if a remeasurement is being made using the temporal method. the company was started in 2000. the buildings were acquired in 2002 and the patents in 2003. (round your answers to 2 decimal places.) exchange rates for 1 peso are as follows: 2000 1 peso = $ 0.28 2002 1 = 0.26 2003 1 = 0.25 january 1, 2015 1 = 0.24 april 1, 2015 1 = 0.23 july 1, 2015 1 = 0.22 october 1, 2015 1 = 0.20 december 31, 2015 1 = 0.16 average for 2015 1 = 0.19