Consider a 3-stage production process where units must pass through all stages, and stage 1 must be completed before stage 2 can start and stage 1 cannot produce to work-inprocess inventory etc. Each stage will have the potential to produce either two, three four, five or six units of output each hour with equal probability (1/5). The stages are stochastically independent. Stage 1 has a constant and unlimited supply of raw materials. A) How many units are on average lost to wait-time every hour? B) Suppose investing in process improvement at either of the 3 stages eliminates the chance that only 2 units is produced but retains an even chance of potential output levels three, four, five or 6. Which of the 3 stages would you improve on first? Discuss why and provide supporting calculations. C) What would the expected output be after you have spent your budget according to your answer to d)?