You are employed at the Durban container harbour as an Industrial Engineer. Over the preceding 5 years the volume of containers shipped to the port has steadily increased. Fully loaded container ships arrive at night in the port. The number of ships docking on any given night ranges from 0 to 5. The probability of 0, 1, 2, 3, 4, or 5 arrivals is depicted in the following table: Nightly unloading rate Probability 0 0,03 1 0,12 2 0,40 3 0,28 4 0,12 5 0,05 You undertook a study revealing that due to the size of the ships and the nature of the cargo, the number of ships unloaded each night also tend to vary. From the study you compiled the unloading rate: Unloading rate 1 2 3 4 5 6 Probability 0,03 0,12 0,40 0,28 0,12 0,05 Due to the schedules of the ships, the off-loading of containers must take place within the schedule of each ship. Due to the increase in ships arriving at the port, management is concerned that delays would occur, and the port authority will have to pay the shipping lines compensation if the ship is not unloaded in time. To 24 OPR371S/101/0/2021 achieve this objective, you are required to compile a simulation for 15 days which would depict the number of nightly arrivals, total to be unloaded, number unloaded. Furthermore, compute the average number delayed, the average number of arrivals and the average number unloaded. Utilise the following random numbers when simulating: For the arrivals: 37, 77, 13, 10, 02, 18, 31, 19, 32, 85, 31, 94, 81, 43 and 31 For the number to be unloaded: 69, 84, 12, 94, 51, 36, 17, 02, 15, 29, 16, 52, 56, 43, and 26 [25]