Parts arrive at a workshop according to an exponential inter$-$arrival time distribution with mean $30$ minutes. There is two type of parts $($Part A and Part B$).50\%$ of the parts are of type A and $50\%$ of arriving parts are of type B$.$ Upon arrival the parts are cleaned. The cleaning time distribution is Normal$(30,2)$ minutes for the two type of parts. There are two identical cleaning operators. Then, parts are drilled. The drilling time distribution for Part A is Normal$(42,2)$ minutes and for Part B is Normal$(18,2)$ minutes. There is two identical drilling machines. Then parts are checked for quality. The parts with defects, about $18\%,$ are sent to inspection station and good parts are sent out of the system. The inspection time distribution is Uniform $(40,80)$ minutes. About $10\%$ of these parts fail the inspection and are sent to scrap. The parts that pass the inspection are classified as good and are sent out of the system. All transfer times are negligible. then determine

A$)$ Build the Arena Model and show the inputs of each module $.$

B$)$ Determine

The average time in system for

a$.$ Scrap parts $=$

b$.$ Good parts $=$

The number of completing parts for

a$.$ Scrap parts $=$

b$.$ Good parts $=$

The average number in the queue of the inspection station.