Consider a production line with four single machine stations in series. Each has processing times (te) with mean 3 hours and standard deviation of 3 hours. a. Suppose we run this as a push system and release jobs into it at a rate of 14 job per hour according to a Poisson process. What is the average WIP in the line? b. Compute the throughput of this line if it is run as a CONWIP line with a WIP level equal to your answer in a. c. How does the answer to b compare to throughput in the push system? (show both values plus a sign like greater than or less than or equal) d. If marginal profit is $75 per piece and the cost of WIP is $0.40 per piece per hour, compute the profit for the push system. e. Follow the information in part d and compute profit for pull (CONWIP) system. Consider a production line with four single machine stations in series. Each has processing times (te) with mean 3 hours and standard deviation of 3 hours. a. Suppose we run this as a push system and release jobs into it at a rate of 14 job per hour according to a Poisson process. What is the average WIP in the line? b. Compute the throughput of this line if it is run as a CONWIP line with a WIP level equal to your answer in a. c. How does the answer to b compare to throughput in the push system? (show both values plus a sign like greater than or less than or equal) d. If marginal profit is $75 per piece and the cost of WIP is $0.40 per piece per hour, compute the profit for the push system. e. Follow the information in part d and compute profit for pull (CONWIP) system