Use queueing theory, not Simio, for this problem set. In the following systems assume that each server is capacity $1$ and all times are exponential distributions. State any other assumptions you make. For each of the following systems answer the questions and complete the following table:

Is this a stable system? If not, why not.

If it is a stable system, estimate the Utilization of each server.

If it is a stable system, estimate the overall Number in System and Time in System $($in hours$)$

a$)$ Serial system: Arrivals $10/$hour; ServerA service rate $20/$hour; ServerB service rate $15/$hour $-$ REQUIRED

b$)$ Serial system: Arrivals $60/$hour; ServerA service time $1\mathrm{.}1$ minute; ServerB service time $0\mathrm{.}5$ minutes $-$ REQUIRED