An alternative way to improve unloading facilities is for the company in Problem 1 to modify the current operations to speed up the unloading process. Specifically, the new service time would still be exponential, but with a mean service rate of 15 ships per week. The incremental cost of the new operations would be $4,000 per week. The opportunity cost of making a ship wait to unload is $30,000 per week.

(a) Compute the (new) average number of ships waiting.

(b) Compute the (new) expected waiting time and total time for ships.

(c) Is the benefit worth the incremental cost?