Question 121) The analytic technique used to analyze compl

<pclass=”normaltext”>121) The analytic technique used to analyze complex queuing models that cannot be captured in closed-form expressions is called

A) extrapoloation.

B) interpolation.

C) simulation.

D) linear programming.

E) forecasting.

122) The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the probability that 2 fax machines need toner at the same time?

A) .8576

B) .1286

C) .0129

D) .1415

E) None of the above

123) A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 15 per hour. It takes an average of two minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed.

(a) Find the probability that the employee is idle.

(b) Find the proportion of time that the employee is busy.

(c) Find the average number of people receiving and waiting to receive information.

(d) Find the average number of people waiting in line to get information.

(e) Find the average time a person seeking information spends at the desk.

(f) Find the expected time a person spends waiting in line to have his question answered.

124) A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 15 per hour. It takes exactly two minutes to answer each question. It is assumed that arrivals are Poisson.

(a) Find the probability that the employee is idle.

(b) Find the proportion of time that the employee is busy.

(c) Find the average number of people receiving and waiting to receive information.

(d) Find the average number of people waiting in line to get information.

(e) Find the average time a person seeking information spends at the desk.

(f) Find the expected time a person spends waiting in line to have his question answered.

125) Sam the Vet is running a rabies vaccination clinic for dogs at the local grade school. Sam can vaccinate a dog every 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of 1 dog every 6 minutes, according to a Poisson distribution. Also assume that Sam’s vaccinating times are exponentially distributed.

(a) Find the probability that Sam is idle.

(b) Find the proportion of time that Sam is busy.

(c) Find the average number of dogs receiving or waiting to be vaccinated.

(d) Find the average number of dogs waiting to be vaccinated.

(e) Find the average time a dog waits before getting vaccinated.

(f) Find the average amount (mean) of time a dog spends between waiting in line and getting vaccinated.

126) Sam the Vet is running a rabies vaccination clinic for dogs at the local grade school. Sam can vaccinate a dog every 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of 1 dog every 4 minutes, according to a Poisson distribution. Also assume that Sam’s vaccinating times are exponentially distributed.

(a) Find the probability that Sam is idle.

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