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III. (15%) Consider the Jackson queueing network illustrated below. 240 and 120 jobs arrive daily at the network through workstations STA_00 and STA_01, respectively; all of the finished jobs leave through STA_10. Let hi the arrival rate at each station (i = 0, 1, 2, ...,10) 11% 22% 78% 46% 54% STA_08 89% STA 01 STA 03 46% 43% STA_00 45% 57% STA 00 STA 06 STA 10 54% 8696 79% STA_02 STA 04 STA_07 14% STA_09 a) (8%) To find the arrival rates you need to write and solve a system of 11 linear equations, one equation for each work station; write IN DETAIL the equations for STA_04, STA_05, and STA_07 (ONLY). b) (7%) Find the arrival rates at each work station; use the table below to show your answer. STA_01 STA_02 STA_03 STA_04 STA_05 STA_06 STA_07 STA_08 STA_09 STA_10 III. (15%) Consider the Jackson queueing network illustrated below. 240 and 120 jobs arrive daily at the network through workstations STA_00 and STA_01, respectively; all of the finished jobs leave through STA_10. Let hi the arrival rate at each station (i = 0, 1, 2, ...,10) 11% 22% 78% 46% 54% STA_08 89% STA 01 STA 03 46% 43% STA_00 45% 57% STA 00 STA 06 STA 10 54% 8696 79% STA_02 STA 04 STA_07 14% STA_09 a) (8%) To find the arrival rates you need to write and solve a system of 11 linear equations, one equation for each work station; write IN DETAIL the equations for STA_04, STA_05, and STA_07 (ONLY). b) (7%) Find the arrival rates at each work station; use the table below to show your answer. STA_01 STA_02 STA_03 STA_04 STA_05 STA_06 STA_07 STA_08 STA_09 STA_10