Please answer entire question I need help thank you. Consider a production line with five single-machine stations in series. Each has processing times with mean 1 hours. (a) Suppose we run this line as a push system (M/M/1 for each station) and release jobs into it at a rate of 0.8 per hour. What is the average WIP in the line? (b) Compute the throughput of this line if it is run as a CONWIP line (practical worst case) with a WIP level equal to your answer in part (a). For parts (c) and (d), suppose the unit price is $50 per piece and the cost of WIP is $1 per piece per hour. Use the equation, Profit-priceTH -cost.WIP. (c) For the push system from part (a), what is the profit if we set r=TH = 0.67 (d) For the pull system from part (b), what is the profit if we set WIP-6? Please answer entire question I need help thank you. Consider a production line with five single-machine stations in series. Each has processing times with mean 1 hours. (a) Suppose we run this line as a push system (M/M/1 for each station) and release jobs into it at a rate of 0.8 per hour. What is the average WIP in the line? (b) Compute the throughput of this line if it is run as a CONWIP line (practical worst case) with a WIP level equal to your answer in part (a). For parts (c) and (d), suppose the unit price is $50 per piece and the cost of WIP is $1 per piece per hour. Use the equation, Profit-priceTH -cost.WIP. (c) For the push system from part (a), what is the profit if we set r=TH = 0.67 (d) For the pull system from part (b), what is the profit if we set WIP-6