Problem $6.$ A part arrives at a four$-$machine system according to an exponential interarrival distribution with a mean of $10$ minutes. The four machines are all different and there's only one of each; the first part arrives at time$0.$ There are five part types with the arrival percentages and process plans given below. The entries for the process times are the parameters for a triangular distribution $($in minutes$).$Part Type$\%$Machine $/$Machine $/$Machine $/$Process TimeProcess TimeProcess TimePart $1122310\mathrm{.}5,11\mathrm{.}9,13\mathrm{.}27\mathrm{.}1,8\mathrm{.}5,9\mathrm{.}86\mathrm{.}7,8\mathrm{.}8,10\mathrm{.}1$Machine $/$Process Time$46,8\mathrm{.}9,10\mathrm{.}3$Part $214317\mathrm{.}3,8\mathrm{.}6,10\mathrm{.}15\mathrm{.}4,7\mathrm{.}2,11\mathrm{.}39\mathrm{.}6,11\mathrm{.}4,15\mathrm{.}3$Part $331418\mathrm{.}7,9\mathrm{.}9,128\mathrm{.}6,10\mathrm{.}3,12\mathrm{.}810\mathrm{.}3,12\mathrm{.}4,14\mathrm{.}8$Part $4243417\mathrm{.}9,9\mathrm{.}4,10\mathrm{.}97\mathrm{.}6,8\mathrm{.}9,10\mathrm{.}36\mathrm{.}5,8\mathrm{.}3,9\mathrm{.}78\mathrm{.}4,9\mathrm{.}7,1126\mathrm{.}7,7\mathrm{.}8,9\mathrm{.}4$Part $5194125\mathrm{.}6,7\mathrm{.}1,8\mathrm{.}88\mathrm{.}1,9\mathrm{.}4,11\mathrm{.}79\mathrm{.}1,10\mathrm{.}7,12\mathrm{.}8$Assume that the transfer time between arrival and the first machine, between all machines, and between the last machine and the system follows a triangular distribution with parameters $8,10,$ and $12($minutes$).$ Use the Sequence feature to direct the parts through the system and to assign the processing times at each station.Collect cycle times $($total times in the system$)$ for each of the part types separately. Animate your model $($including the part transfers$)$ and simulate it for $10,000$ minutes.