Consider a manufacturing process that involvesdrilling holes in car engines. The manufacturing system operates from 8 a. m. until 11 p. m. in two shifts (you can ignore the turnaround time between the shifts). Due to a recent increase in the demand for the parts, the managers are considering replacing the current equipment and have hired you to evaluate the following two options: 1. A drilling machine with a capacity of two (i. e., two engines can be processed at a time). The processing time is uniformly distributed between 1.6 and 3.2 minutes.
2. A fast drilling machine that has a capacity of one but the processing time is uniformly distributed between 0.8 and 1.6 minutes.

Your task is to evaluate the performance of the two machines and make a final recommendation as to which machine to purchase. Assume top management is interested in two performance metrics: the throughput (I. e. number of parts produced per day), and the amount of work in process (i. e. average inventory in the system). Engines arrive at a rate of 40 per hour and inter-arrival times are exponentially distributed. Part transportation times are negligible.