At the Pilot Pen Company, a moulding machine produces pen barrels of two different colours - red and blue - in a ratio of 3:2. The moulding time is triangular (3, 4, 6) minutes per barrel. The barrels go to a filling machine, where ink of appropriate colour is filled at the rate of 20 pens per hour (exponentially distributed). Another moulding machine makes caps of the same two colours in the ratio of 3:2. To moulding time is triangular (3, 4, 6) minutes per cap. At the next station, caps and filled barrels of matching colours are joined together. The joining time is exponentially distributed with a mean of 1 minute. Simulate for 2,000 hours. 

Find the average number of pens produced per hour. Collect the statistics on the utilization of the moulding machines and the joining equipment. 

Queue lengths: Filling Queue: 37.5 feet; Blue Cap Queue: 16 Feet and Red Cap Queue: 21.5 feet. Arrivals set First Time to - Blank (no value). 

Entities: Barrel, Cap, Barrel_Red, Barrel_Blue, Cap_Red, Cap_Blue, Red_Pen, Blue_Pen