I only need d, e and f with details.

Consider the Jackson queueing network illustrated below. 275 jobs arrive daily at the network through workstation STA_00, 200 jobs/day arrive through STA_02 and all of them leave through STA_10. Let i the arrival rate at each station (i=0,1,2,,10). To find the arrival rates you need to write a system of 11 linear equations, one for each workstation. Find the arrival rates at each workstation; use the table below to show your answer. Notice that since all jobs leave thru STA_10, its arrival rate must be 475 jobs/day; you can use this fact to make sure that you solved the equations correctly. Assume that the service rates (in jobs/day) for each server at each station are What is the minimum number of servers required at each station? If you assign that minimum number of servers at each station, what would be the average utilization at each station? What would be the total WIP in the system? d) If none of the workstations should have an average utilization greater than 75%, what is the minimum number of servers required at each station? If you assign this number of servers at each station, what would be the total WIP in the system? e) Assume that you assign to each workstation the minimum number of servers that you found in (c) and each part produced by this manufacturing line can be sold at $250/ unit. The following table shows the manufacturing costs (servers + inventory + material). Compute the total profit per hour and the profit per part. f) Assume that you assign to each workstation the number of servers that you found in (d) and each part produced by this manufacturing line can be sold at $250/ unit. The table above shows the manufacturing costs (servers + inventory + material). Compute the total profit per hour and the profit per part