You short sold 1,100 shares of stock at a price of $29 and an initial margin of 55 percent. If the maintenance margin is 40 perc
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Answer:
A) Single-server single-phase model (M/M/1).
B) The goal is not met, as the average time waiting for service is 5.56 minutes.
C) The new mean service rate is 7.5 customers/hour.
In this case, the average time waiting for service is 4 minutes, so the goal is met.
Explanation:
A) This situation can be modeled as a single-server single-phase model (M/M/1).
The mean arrival rate is 2.5 customers per hour.
The mean service rate is 6 customers per hour, calculated as:
B) The average waiting time for a customer can be expressed as:
The average waiting time is 5.56 minutes, so it is more than the goal of 5 minutes.
C) If the average time spent per customer to 8 minutes, the mean service rate becomes
An the average waiting time for the service now becomes:
The average time is now 4 minutes, so the goal is achieved.