Students arrive at the Adminsitrative Office at an average of one every 24 minures, and their requests take on average 12 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. a) What percentage of time is Judy Idle? (round to 2 decimal Places)b) How much time on average, does a student spend waiting in line? (round your answer to the nearest whole number)c) How long is the waiting line on average? (2 decimal places)d) What is the probability that an arriving student just before entering the Administrative Services Office) will find at least one other student waiting in line? (4 decimal places)

You want to have $80,000 in your savings account 11 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. if the account pays 6.30 percent interest, what amount must you deposit each year? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Variable rate cd’s = $90 treasury bills = $150 discount loans = $20 treasury notes = $100 fixed rate cds = $160 money market deposit accts. = $140 savings deposits = $90 fed funds borrowing = $40 variable rate mortgage loans $140 demand deposits = $40 primary reserves = $50 fixed rate loans = $210 fed funds lending = $50 equity capital = $120 a. develop a balance sheet from the above data. be sure to divide your balance sheet into rate-sensitive assets and liabilities as we did in class and in the examples. b. perform a standard gap analysis and a duration analysis using the above data if you have a 1.15% decrease in interest rates and an average duration of assets of 5.4 years and an average duration of liabilities of 3.8 years. c. indicate if this bank will remain solvent after the valuation changes. if so, indicate the new level of equity capital after the valuation changes. if not, indicate the amount of the shortage in equity capital.

Kirnon clinic uses client-visits as its measure of activity. during july, the clinic budgeted for 3,250 client-visits, but its actual level of activity was 3,160 client-visits. the clinic has provided the following data concerning the formulas to be used in its budgeting: fixed element per month variable element per client-visitrevenue - $ 39.10personnel expenses $ 35,100 $ 10.30medical supplies 1,100 7.10occupancy expenses 8,100 1.10administrative expenses 5,100 0.20total expenses $ 49,400 $ 18.70the activity variance for net operating income in july would be closest to: