A small automated power-and-free assembly system consists of six workstations. (A power-and-free system could represent things like tow chains and hook lines.) Parts are placed on pallets that move through the system and stop at each workstation for an operation. There are 12 pallets in the system. A blank part is placed on an empty pallet as part of the operation at workstation 1. The unit (part and pallet) is then moved progressively through the system until all the operations are completed. The f nal assembled part is removed from the pallet at workstation 6 as part of the operation there. The power-and-free system moves at 4 feet per minute. Each pallet requires 2 feet of space. The distance between adjacent workstations is 10 feet, except that workstation 6 (the f nal assembly operation) and workstation 1 (the beginning assembly operation) are 20 feet apart. The following f gure indicates how the workstations are arranged. The operation times at each workstation are WEIB(3.2, 4.2) minutes. Workstation 1 Workstation 2 Workstation 3 Workstation 6 Workstation 5 Workstation 4 Develop a simulation and animation of this system and run it for 1,500 minutes, observing statistics on the production per hour. (HINT: Model the power-and-free system as an accumulating conveyor. At the start of your simulation, load the empty pallets at workstation 6. These pallets become a permanent part of the system.) Look at the effect on hourly production of the number of pallets. Would more (or fewer) than 12 pallets be preferable? Is there something like an optimal number of pallets? Be sure to back up your statements with a valid statistical analysis.