Problem 3 (25 points) Consider a manufacturing system comprising two different machines and two operators. Each operator is assigned to run a single machine. Parts arrive with a Truncated-Normally distributed interarrival time with a min of 0.5 minutes, mean of 4 minutes, and stdev of 2 minutes. The arriving parts are one of two types. Sixty percent of the arriving parts are Type 1 and are processed on Machine 1. These parts require the assigned operator for a 1-minute setup operation. The remaining 40% of the parts are Type 2 and are processed on Machine 2. These parts require the assigned operator for a 1.5-minute setup operation. 1 You might have NAs in your waiting time, because some people start the service but do not finish it before the end of simulation clock. Therefore, in R, you can use mean(waitTime, na.rm=T). The service times (excluding the setup time) are Normally distributed with a mean of 4.5 minutes and a standard deviation of 1 minute for Type 1 parts and a mean of 7.5 minutes and a standard deviation of 1.5 minutes for Type 2 parts. Run your model for 2,000 minutes, with 50 replications. a) Plot the utilization, usage, flow_time, and waiting_time. Discuss your findings. b) Report the average total time spent in the system (flow time) for each type of part. No data set.