Question: please show work Trucks arrive at a retail store with one dock at the rate of 4 trucks per hour. Loading and unloading take on

please show work

on an average 5 minutes with a standard deviation of 8 minutes.

Trucks arrive at a retail store with one dock at the rate of 4 trucks per hour. Loading and unloading take on an average 5 minutes with a standard deviation of 8 minutes. Assume that the coefficient of variation of the inter-arrival time is 1 . a) What is the average interarrival time of trucks (a)? b) What is the utilization of the dock (u)? c) What is the average waiting time of the trucks (Ta) ? d) What is the total time of the trucks at the store (Ta+p) ? Show work here: Continue with Question 1. Suppose the store has two docks and trucks arrive at the rate of 8 trucks per hour. Arriving trucks join a single line and then proceed to the first available empty dock. The rest stays unchanged. a) What is the average interarrival time of trucks? b) What is the utilization of the dock? c) What is the average waiting time of the trucks? d) What is the average number of trucks waiting? e) What is the average number of trucks at the store? Show work here: Continue with Question 1. Suppose through standardization and training, the standard deviation of loading and unloading time is reduced from 8 minutes to 4 minutes. a) What is the average waiting time of trucks? b) What is the average number of trucks waiting? Show work here

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