please answer problem two. The other photo should be used as a reference, thanks!

2. Based on the statistics computed in (d) to (1) above in Question 1. you (as an expert) realized that too many ships are in the line for service and there have been complaints recently. In view of your knowledge of queuing analysis, you would advise as a consultant to install state-of-the-arts unloading facility which can unload or load a ship in exactly 6 hours. The cost of unloading and ships time in the port is $5,000 and $10,000 respectively. Determine the optimal number of unloading facilities so as to minimize the total cost. CAPACITY PLANNING USING QUEUING MODEL Note: Formulas to solve the following problems are given in the class and example problems were solved in the class. Follow the examples described in the class. 1. Seaports are important in global supply chains. Their management plays an important part in minimizing waiting time for ships that visit seaports for loading and unloading cargo. The Long Beach seaport is a very busy seaport on the west coast of America. Based on past data, it is observed that 8 ships arrive there, on an average, per day, and it takes 6 hours to unload a ship on an average, with a standard deviation of 2 hours and 30 minutes. Determine the following: 4. Minimum number of ship-unloading facilities. b. Probability (each unloading facility is busy) c. Probability (each unloading facility is idle) d Average number of ships in the system, that is, number of ships in the line including the one being unloaded e. Average number of ships waiting to be unloaded, that is, number of ships in the line excluding being unloaded, f Average time a ship spends in the system, that is, waiting time plus unloading time. g. Average time a customer spends in the waiting line before reaching the unloading berth. h. You have determined, based on past data, that unloading time is worth $5,000 per hour and a ships time spent at the port is worth $10,000 per hour. Compute the optimal number of unloading facilities so that the cost of unloading time and cost of ships' time is minimized. Hint: Compute the total cost for several facilities and compute the total cost