Question: 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

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-in-process inventory etc. Each stage will have the potential to produce either two, three four, five or sixunits 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) What is the expected (or average) output of this 3-stage production process? b) What is the average time stage 1 is idle while waiting for stage 2?c) How many units are on average lost to wait-time every hour?

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