Business, 03.08.2021 16:00 ariyanadavid5989

The Grand Movie Theater has one box office clerk. On average, each customer that comes to see a movie can be sold its ticket at the rate of 6 per minute. For the theater's normal offerings of older movies, customers arrive at the rate of 10 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 Grand has booked the Stars Wars Trilogy and expects more customers. From conversations with other theatre owners, it estimates that the arrival rate will increase to 10 per minute. Output is supplied for a two-cashier and a three-cashier system.
Number of channels23
Arrival rate1010
Service rate66
Probability of no units in system.0909.1727
Average waiting time.3788.0375
Average time in system.5455.2041
Average number waiting3.7879.3747
Average number in system5.45452.0414
Probability of waiting.7576.2998
Probability of 11 in system.0245less than .0088
f) The Grand has space for ten customers to wait indoors to buy tickets. Which system will be better?
g) Do you think it is more sensible for them to continue the one-cashier system?

Answers: 2

Show answers

Another question on Business

Business, 21.06.2019 19:20

Chester has a credit score of 595 according to the following table his credit rating is considered to be which of these

Answers: 1

Answer

Business, 22.06.2019 19:00

20. to add body to a hearty broth, you may use a. onions. b. pasta. c. cheese. d. water.

Answers: 2

Answer

Business, 22.06.2019 23:50

Melissa buys an iphone for $240 and gets consumer surplus of $160. a. what is her willingness to pay? b. if she had bought the iphone on sale for $180, what would her consumer surplus have been?

Answers: 3

Answer

Business, 23.06.2019 02:00

True of false: the chancellor of a university has commissioned a team to collect data on students' gpas and the amount of time they spend bar hopping every week (measured in minutes). he wants to know if imposing much tougher regulations on all campus bars to make it more difficult for students to spend time in any campus bar will have a significant impact on general students' gpas. his team should use a t test on the slope of the population regression.

Answers: 1

Answer

You know the right answer?

The Grand Movie Theater has one box office clerk. On average, each customer that comes to see a movi...

Questions