Ships arrive at a port facility at an average rate of 2 ship

Ships arrive at a port facility at an average rate of 2 ships every 3 days. On the average, it takes a single crew 1 day to unload a ship. Assume that interarrival and service times are exponential. The shipping company owns the port facility as well as the ships using that facility. It is estimated to cost the company $1,000 per day that each ship spends in port. The crew servicing the ships consist of 100 workers, who are each paid an average of $30 per day. A consultant has reccomended that the shipping company hire an additional 40 workers and split the employees into two equal-sized crews of 70 each. This would give each crew an unloading or loading time average 3/2 days. Which crew arrangement would you reccomend to the company?

Solution

In my view, i would agree with consultant to add 40 workers and split the employees in to two equal groups of 70 each. by following following this procedure the work is done fastly as compared to the single crew and cost incurred is also less because though the cost increases by adding workers but the work completes fastly so the no. of days decreases.