Consider the following queueing network that represents a 4-station manufacturing system. The arrows show part flow through the system (all stations have a capacity of 1, i.e. c = 1). The parameters...

Consider the following queueing network that represents a 4-station manufacturing system. The arrows show part flow through the system (all stations have a capacity of 1, i.e. c = 1). The parameters are given as follows: Part arrival rate (?A = 100 parts/hour). Mean station service times (all service times are exponentially distributed): • A: 30 seconds • B: 40 seconds • C: 90 seconds • D: 90 seconds Solve the queueing network to find the following steady-state values a) The expected utilizations for stations A, B, C, and D b) The expected number of parts in the system c) The expected time that a part spends in the system NOTE: Be sure to include units for all your calculati