$(1)$ Compare M$1$ and M$2$ that have the breakdown characteristics as:

M$1$: $t_0=10$mins,$c_0=\mathrm{.}50,m_f=2hrs,m_r=0\mathrm{.}5hr,c_r=1.$

M$2$: $t_0=10$mins,$c_0=\mathrm{.}50,m_f=20hrs,m_r=5hrs,c_r=1.$

$(2)$ Compare M$3$ and M$4$ that have the setup characteristics as:

M$3$: $t_0=10$mins,$c_0=\mathrm{.}50,$ no setups.

M$4$: $t_0=10$mins,$c_0=\mathrm{.}50,t_s=2hrs,N_s=100$ parts, $c_s=\mathrm{.}50.$

$(3)$ Compare M$5$ and M$6$ that have the breakdown and setup characteristics of:

M$5$ has: M$2$ and M$3$ characteristics.

M$6$ has: M$2$ and M$4$ characteristics.

Check carefully your calculations to find the effective variability of the processes.

Tabulate your final results with the following information:

Include the following in your table under columns:

The natural process time, $t_0$

The natural variability of process times, $c_0$

The mean time to failure, $m_f$

The mean time to repair, $m_r$

The variability of repair times, $c_r$

The setup times, $t_s$

The variability of setup times, $c_s$

The batch size, $N_s$

The effective variability of the process, $c_e$

Comments on the effective variability of the process.