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The following is a description of the front-of-house process at the dining commons: Customers enter the process every 0.5 minutes following an exponential distribution. They

The following is a description of the front-of-house process at the dining commons:

Customers enter the process every 0.5 minutes following an exponential distribution. They join one of three lines: 40% go

to the sub line (capacity: 6), 40% go to the coffee line (capacity: 8) and 20% go to the pizza line (capacity 7). From the

sub line customers go to the sub station (processing time: 2.05 minutes, with a standard deviation of 0.95 minutes

following a normal distribution). After they are done at the sub station, 30% of the customers join the coffee line and the

rest (70%) join the pay line. From the coffee line customers go to the coffee station. Processing time is 1 minute with a

standard deviation of 0.25 minutes following a normal distribution. When customers are finished at the coffee station they

join the pay line. From the pizza line customers go to the pizza counter. Processing time is 0.9 minutes with a standard

deviation of 0.3 minutes following a normal distribution. When customers are finished at the pizza station they join the

pay line. The pay line has a capacity of 10. At the pay station payment takes 0.55 minutes with a standard deviation of

0.25 minutes following a normal distribution. There are 2 full-time employees at the sub station. All other stations (coffee,

pizza and pay) each have 1 full-time employee. Assume that you are modeling the time period 11.30am to 2.30pm and

that at 11.30am there are 3 customers in the sub line, 1 customer in the coffee line, 2 customers in the pizza line and one

customer in the pay line.

Part 1: Construct a process flow map of the process at the dining commons. Ensure that you summarize all key

information relating to the process on the process flow map.

can you show me the flow map?

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