use arena simulation please.

D) Parts arrive at a single machine system according to an exponential interarrival distribution with mean 22 minutes; the first part arrives at time 0 . Upon arrival, the parts are processed at a machine (call it as Machine X). The processing time distribution is TRIA (11,16,18) minutes. The parts are inspected and about 25% are sent back to Machine X to be reprocessed. The processing time distribution for the reprocessed parts in Machine X is TRIA (10,14,16). Suppose that we define the following three categories based on the value of the number of times a part is processed: Category 1: The number of times a part passes through the machine system is less than 2. Category 2: The number of times a part passes through the machine system is larger than 1 and less than or equal to 4 . Category 3: The number of times a part passes through the machine system is larger than or equal to 5. If a part belongs to Category 1, it is also processed in Machine Y (processing time distribution is TRIA (2,3,6). Then, the part exits the system. If a part belongs to Category 2 or 3 , it is also processed in Machine Z. The processing time distribution for Category 2 parts is TRIA (2,4,5), while the one for Category 3 parts is TRIA (1,3,5). Then, the parts exit the system. We want to collect the following statistics by running the simulation for 25,000 minutes. a) Average number of times that a part is processed by Machine X (consider only the parts which leave the system before the simulation ends). b) Average cycle time for a part