Problem 1. This problem involves a cost-benefit process analysis for laying out a facility. The process involves a \"Chipotle-style\" line whereby customers arrive, order food, and move through the system. Your objective is to staff the system with the optimal number of employees, given an estimate of how many customers will be arriving per hour. Each of your employees is paid $15fhour, and individual customer food orders average $13.19, of which $135 (about 13.3%) is net prot. The starting point for analysis is when you staff the system with one employee (@ $15fhour; we will treat revenue and costs as separate). This system is depicted below: the single employee takes care of the entire transaction in 150 seconds for each customer. 150 seconds For now we will assume that the demand rate (i.e., the arrival rate in this system) is at least as fast as the maximum rate at which the system can operate. To put it a little differently, we are assuming that the system is in steady-state. (a) Find the maximum output rate for this system, and the corresponding net prot with the single employee