$1.$ Create a process flow diagram for the Madureira Institute

$2.$ Perform the following analysis for a Monday, a Friday, and a Saturday

Calculate the capacity of each step

Identify the bottleneck and its throughput rate

Calculate the average utilization of each step

$3.$ Regarding the bottleneck step, determine the values of the three key queueing theory variables $(\backslash$lambda $,\backslash$mu $,$ and M$)$ for a Monday

$4.$ Then, using the online queueing calculator, determine the following:

Number of customers in the system

Number of customers waiting $($for the bottleneck$)$

Average length of wait time

$5.$ You are given new data that on Thursday afternoons $106$ customers enter the salon $($and aren$$t sent away$)$ within a $4-$hr window. Determine:

Number of customers in the system

Number of customers waiting $($for the bottleneck$)$

Average length of wait time

$6.$ What does the analysis above $($in #$5)$ imply for Friday and Saturday operations?