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?

The partnership of douglas, ryan, and ellen has dissolved and is in the process of liquidation. on july 1, 2016, just before the second cash distribution, the assets and equities of the partnership along with profit and loss sharing ratios were as follows: cash $30,000receivable - net $20,000inventories $25,000equipment - net $30,000total assets $80,000liabilities $12,000douglas, capital (20%) $28,000ryan, capital (50%) $24,000ellen, capital (30%) $16,000total liab./equity $80,000assume that the available cash is distributed immediately, except for a $2,000 contingency fund that is withheld pending complete liquidation of the partnership. how much cash should be paid to each of the partners? a. $3,200 douglas, $8,000 ryan, $4,800 ellenb. $5,600 douglas, $14,000 ryan, $8,400 ellenc. $16,000 douglas, $0 ryan, $0 ellend. $8,000 douglas, $0 ryan, $8,000 ellen