This problem is related to "Model 9-2: Pizza Take-out Model" described in Section 9.2 of the textbook (https://textbook.simio.com/SASMAA/index.html). While you don't need to know the details of how the model is "coded" in Simio to be able to solve this problem, you are highly encouraged to read Section 9.2 to get a better understanding of the context and general logic of this model.

Suppose the performance measure of interest is the average time orders spend in the system (in minutes). In particular, we would like to estimate the expected (mean) average time in system (TIS) for orders at a confidence level of 90% with a relative error of no more than 0.01.

a) Open the attached copy of Model 9-2 and run 10 replications of the simulation model when "numLines = 1" and "NumWorkers = 2". Note that the experiment (i.e., the "controls", "response", run configurations, etc.) is already set up in the attached model. What is the relative error based on your 10 replications?

b) Without running additional simulation replications and using only the results of your 10 replications in Part (a), determine how many replications (approximately) you need to run to obtain the desired precision.

c) In your Simio experiment, increase the number of replications to the value you estimated in Part (b). Run the experiment using the new number of replications and compute the relative error associated with average TIS.

d) What is your assessment of the efficacy of the number of replications that you estimated in Part (b)? Clearly explain the reason behind any discrepancy between your findings in parts (b) and (c).