When customers of the Trojan Bank believe a mistake has been made on their account statements, their claims are forwarded to the bankâs research department, whose trained clerks carefully research and document the transactions in question. Upon completing her investigation, a clerk phones the customer with her findings. The research department has three clerks. Each handles claims from a separate geographic district and never works on claims from outside her own district. The average number of complaints arising from each district is the same, 3.5 per week. The clerks are equally experienced and completely process the average claim in 1.2 days. The inter-arrival times from each district are exponentially distributed, and the processing time for any clerk is exponentially distributed. Assume a five-day week. (a) What is the utilization of each bank clerk?
(b) In a week, how many days is a clerk idle?
(c) How long (in days) does a customer have to wait on average to hear back from the bank?
(d) How many customers are waiting to hear back from the bank on average in each district?

Investment x offers to pay you $5,700 per year for 9 years, whereas investment y offers to pay you $8,300 per year for 5 years. if the discount rate is 6 percent, what is the present value of these cash flows? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) present value investment x $ investment y $ if the discount rate is 16 percent, what is the present value of these cash flows? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) present value investment x $ investment y

Suppose that xtel currently is selling at $40 per share. you buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. the rate on the margin loan is 8%. a. what is the percentage increase in the net worth of your brokerage account if the price of xtel immediately changes to (a) $44; (b) $40; (c) $36? (leave no cells blank - be certain to enter "0" wherever required. negative values should be indicated by a minus sign. round your answers to 2 decimal places.) b. if the maintenance margin is 25%, how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.) c. how would your answer to requirement 2 would change if you had financed the initial purchase with only $10,000 of your own money? (round your answer to 2 decimal places.) d. what is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if xtel is selling after one year at (a) $44; (b) $40; (c) $36? (negative values should be indicated by a minus sign. round your answers to 2 decimal places.) e. continue to assume that a year has passed. how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.)

Costco wholesale corporation operates membership warehouses selling food, appliances, consumer electronics, apparel and other household goods at 471 locations across the u.s. as well as in canada, mexico and puerto rico. as of its fiscal year-end 2005, costco had approximately 21.2 million members. selected fiscal-year information from the company's balance sheets follows. ($ millions). selected balance sheet data 2005 2004 merchandise inventories $4,015 $3,644 deferred membership income (liability) 501 454 (a) during fiscal 2005, costco collected $1,120 cash for membership fees. use the financial statement effectstemplate to record the cash collected for membership fees. (b) in 2005, costco recorded $46,347 million in merchandise costs (that is, cost of goods sold). record thistransaction in the financial statement effects template. (c) determine the value of merchandise that costco purchased during fiscal-year 2005. use the financial statementeffects template to record these merchandise purchases. assume all of costco's purchases are on credit.