At border inspection, vehicles arrive at a rate of 10 per hour in a Poisson distribution. Assume there is only one lane and one inspector, who can inspect vehicles at a rate of 12 per hour in an exponentially distributed fashion. a. What is the average length of the waiting line?
b. What is the average time that a vehicle must wait to get through the system?
c. What is the utilization of the inspector?
d. What is the probability that when you arrive there will be three or more vehicles ahead of you?

Cash flows during the first year of operations for the harman-kardon consulting company were as follows: cash collected from customers, $385,000; cash paid for rent, $49,000; cash paid to employees for services rendered during the year, $129,000; cash paid for utilities, $59,000. in addition, you determine that customers owed the company $69,000 at the end of the year and no bad debts were anticipated. also, the company owed the gas and electric company $2,900 at year-end, and the rent payment was for a two-year period.

The following information is needed to reconcile the cash balance for gourmet catering services. * a deposit of $5,600 is in transit. * outstanding checks total $1,000. * the book balance is $6,400 at february 28, 2019. * the bookkeeper recorded a $1,800 check as $17,200 in payment of the current month's rent. * the bank balance at february 28, 2019 was $17,410. * a deposit of $400 was credited by the bank for $4,000. * a customer's check for $3,300 was returned for nonsufficient funds. * the bank service charge is $90. what was the adjusted book balance?

Label each of the following statements true, false, or uncertain. explain your choice carefully. a. workers benefit equally from the process of creative destruction. b. in the past two decades, the real wages of low-skill u.s. workers have declined relative to the real wages of high-skill workers. c. technological progress leads to a decrease in employment if, and only if, the increase in output is smaller than the increase in productivity. d. the apparent decrease in the natural rate of unemployment in the united states in the second-half of the 1990s can be explained by the fact that productivity growth was unexpectedly high during that period.