A merging conveyor system has a main conveyor consisting of three segments, and two spur conveyors, as depicted in the following f gure. Separate streams of packages arrive at the input end of each of the three conveyors, with interarrival times distributed as EXPO(0.76) minutes. Incoming packages queue to wait for space on the conveyor. Packages arriving at the input end of the main conveyor are conveyed directly to the system exit. Packages arriving at the two spur lines are conveyed to the main conveyor, where they wait for space. Once space is available, they exit the spur line and are conveyed to the system exit. All conveyor segments are 20 feet (the main conveyor has three such segments) and all three conveyors are accumulating and move at 15 feet per minute. Each package requires 2 feet of space on a conveyor. When packages reach the exit-system point, there is an unload time of 0.2 minute, during which time the package retains it space on the main conveyor. Arriving packages Unload 1 Unload 2 Unload 5 Unload 4 Unload 3 Arriving packages Unload 1 Unload 2 Unload 5 Unload 4 Unload 3 Arriving packages Unload 1 Unload 2 Unload 5 Unload 4 Unload 3 Arriving packages Unload 1 Unload 2 Unload 5 Unload 4 Unload 3 Arriving packages Unload 1 Unload 2 Unload 5 Unload 4 Unload 3 Arriving packages Unload 1 Unload 2 Unload 5 Unload 4 Unload 3 Arriving packages Unload 1 Unload 2 Unload 5 Unload 4 Unload 3 Arriving packages Unload 1 Unload 2 Unload 5 Unload 4 Unload 3 Arriving packages Unload 1 Unload 2 Unload 5 Unload 4 Unload 3 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft 10 ft Spur 1 conveyor Main conveyor Spur 2 conveyor Exit system kel01315_ch09_379-422.indd 417 05/12/13 3:21 PM 418 Chapter 9 Develop a model and animation of this system and run it for 300 minutes, observing statistics on conveyor status (such as number of packages conveying and accumulated on each segment) as well as times in system for packages.