The Arctic Flyers minor league hockey team has one box office clerk. On average, each customer that comes to see a game can be sold a ticket at the rate of eight per minute. For normal games, customers arrive at the rate of five per minute. Assume arrivals follow the Poisson distribution and service times follow the exponential distribution.
a. What is the average number of customers waiting in line?
b. What is the average time a customer spends in the waiting line?
c. What is the average number of customers in the system?
d. What is a customer's average time in the system?
e. What is the probability that someone will be buying tickets when an arrival occurs?
The Flyers are playing in the league playoffs and anticipate more fans, estimating that the arrival rate will increase to 12 per minute. Output is supplied for two- and three-cashier systems.
f. The rink has space for six customers to wait indoors to buy tickets. Which system will be better?
g. Do you think it is more sensible for the Flyers to continue the one-cashier system?
a. Lq = 1.04
b. Wq = 0.2083
c. L = 1.665
d. W = 0.3333
e. Pw = 0.625
f. The three-cashier system is probably too good and not cost effective.
g. The one-cashier system won't work because now the arrival rate is faster than the service rate.
You might also like to view...
Dunn and Etta are limited partners in Fancee Fashion Stores, a limited partnership. In terms of the firm's books, Dunn and Etta are entitled to
A. access in proportion to their participation in management of the firm. B. access to the parts that directly relate to their capital contributions. C. no access. D. total access.
Putable bonds give the bondholders an option to sell the bond at a price higher than par value by the amount of one year interest payment when and if the firm takes specified actions such as being acquired, acquiring another company, or issuing a
large amount of additional debt. Indicate whether the statement is true or false
What is their current savings ratio?
George and Betty, a middle-aged couple, have watched their savings account dwindle over the years. They both make good incomes and can't understand why they aren't saving more each month. Below is their financial information to complete an income statement. Gross monthly income: $8,000 Income taxes withheld monthly: $2,300 Monthly interest income from investments: $100 Monthly insurance payments: $700 Monthly housing expenses: $4,500 Monthly food expenses: $800 Miscellaneous expenses: $400 A) 10.3 percent B) negative 10.3 percent C) zero D) None of the above
Jenifer was asked during her interview if she has children and how many children she is planning on having. This is ______.
a. permitted, since most likely she will take maternity leave for each child b. permitted, since they ask all female candidates this question c. essential to ask since maternity leave involves time away from work d. not permitted, since every question asked should be job related