![A warehouse has 1 loading dock and 3 persons for loading operations](https://www.gkseries.com/blog/wp-content/uploads/2023/09/A-warehouse-has-1-loading-dock-and-3-persons-for-loading-operations.jpg)
Q. A warehouse has 1 loading dock and 3 persons for loading operations. The arrival rate of trucks follows Poisson distribution with a mean of 4 trucks/hour. The average loading time (by three persons together) per truck is exponentially distributed with a mean of 10 minutes. The charge of the trucks per hour and loading charges per person per hour are Rs.20 and Rs.6, respectively. The total cost (in Rs./hour) is
Ans: 57 – 59
Sol:
Total cost in one hour = Loading crew cost + Cost of waiting time
Loading crew cost = Number of loaders × Hourly wage rate
Cost of waiting time = Ws × λ × (truck charge per hour)
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