QUESTION 5 A check-in counter at an airport experiences an average of 135 custom

Question

QUESTION 5 A check-in counter at an airport experiences an average of 135 customers per hour (assume Poisson arrivals). Each customer requires an average of 4.2 minutes for service. What is the minimum number of servers that are required in order to keep average wait times (in line, not including service time) to less than five minutes? (Assume customers wait in a common line.) a. 8 b.9 c. 10 e. 12 QUESTION 6 Nine junior doctors work in a clinic dealing with patients with non-urgent medical problems. A single senior doctor works in an office in the clinic and is available to help the junior doctors with any issues that they feel they aren't qualified to deal with. The doctor is generally working on paper work and is immediately available to help a junior doctor as needed (as long as they aren't busy assisting another junior doctor, in which case they will have to wait). On average, a junior doctor needs the help of the senior doctor once every two hours (assume Poisson arrivals the senior doc or can deal with an issue in an average of five minutes assume exponen all dismbu on a ne cent of e time will the doctor be busy helping junior doctors resolve problems? a, 25% to 49.99% O b.75% to 100% C. 50% to 74.99% d. 0% to 24.99%

Explanation / Answer

5.

Arrival rate A= 135 customers pee hour

Service is done at 4.2 min

So service rate S = 60/4.2 = 14.29

To have the equilibrium N*S= A

Where N = no of servers

So min N = 135/14.29 = 9.44 = 10

For waiting time in queue = Wq <= 5

At N = 10 Wq = 6.24 mins

So for N = 11

We= 1.44 mins

Hence option D

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