1. Potential customers arrive at a full-service, two-pump gas station according to a Poisson process with rate 20 cars per hour. However, customers will only enter the station for gas if there are less than three cars at the two pumps. Suppose the amount of time required to service a car is exponentially distributed with a mean of five minutes. (a) What fraction of the attendant’s time will be spent servicing cars?

(b) What fraction of potential customers are lost?

Conor is 21 years old and just started working after college. he has opened a retirement account that pays 2.5% interest compounded monthly. he plans on making monthly deposits of $200. how much will he have in the account when he reaches 591 years of age?

During january 2018, the following transactions occur: january 1 purchase equipment for $20,600. the company estimates a residual value of $2,600 and a five-year service life. january 4 pay cash on accounts payable, $10,600. january 8 purchase additional inventory on account, $93,900. january 15 receive cash on accounts receivable, $23,100 january 19 pay cash for salaries, $30,900. january 28 pay cash for january utilities, $17,600. january 30 firework sales for january total $231,000. all of these sales are on account. the cost of the units sold is $120,500. the following information is available on january 31, 2018. depreciation on the equipment for the month of january is calculated using the straight-line method. the company estimates future uncollectible accounts. at the end of january, considering the total ending balance of the accounts receivable account as shown on the general ledger tab, $4,100 is now past due (older than 90 days), while the remainder of the balance is current (less than 90 days old). the company estimates that 50% of the past due balance will be uncollectible and only 3% of the current balance will become uncollectible. record the estimated bad debt expense. accrued interest revenue on notes receivable for january. unpaid salaries at the end of january are $33,700. accrued income taxes at the end of january are $10,100

Kumar consulting operates several stock investment portfolios that are used by firms for investment of pension plan assets. last year, one portfolio had a realized return of 12.6 percent and a beta coefficient of 1.15. the average t-bond rate was 7 percent and the realized rate of return on the s& p 500 was 12 percent. what was the portfolio's alpha?