3. Consider a production line that consists of three successive workstations (A, B, and C). It takes 10 minutes to process a job in station A, another 10 minutes in station B, and finally 30 minutes in station C. The stations require different resources and work is pushed based on the first-come-first-served principle throughout the production line, which is initially empty. There are 100 jobs to complete. (a) Find the average WIP inventory until completion of all jobs. (b) The company considers three alternative strategies to reduce the WIP inventory: - Adding a new station that will run parallel to station C. Upon arrival of a job any idle station, or the station that becomes idle first, serves the job. It takes 30 minutes to process a job in the new station. Adding two new stations (instead of one) that will run parallel to station C. Upon arrival of a job any idle station, or the station that becomes idle first, serves the job. It takes 30 minutes to process a job in each of the two new stations. Replacing the current server in station C with a faster one that processes a job in 10 minutes. For each of the above strategies find the average WIP inventory until completion of all obs. Compare your results. 3. Consider a production line that consists of three successive workstations (A, B, and C). It takes 10 minutes to process a job in station A, another 10 minutes in station B, and finally 30 minutes in station C. The stations require different resources and work is pushed based on the first-come-first-served principle throughout the production line, which is initially empty. There are 100 jobs to complete. (a) Find the average WIP inventory until completion of all jobs. (b) The company considers three alternative strategies to reduce the WIP inventory: - Adding a new station that will run parallel to station C. Upon arrival of a job any idle station, or the station that becomes idle first, serves the job. It takes 30 minutes to process a job in the new station. Adding two new stations (instead of one) that will run parallel to station C. Upon arrival of a job any idle station, or the station that becomes idle first, serves the job. It takes 30 minutes to process a job in each of the two new stations. Replacing the current server in station C with a faster one that processes a job in 10 minutes. For each of the above strategies find the average WIP inventory until completion of all obs. Compare your results