For the following network: With reliabilities as follows: Determine the overall reliability of the network. Show all work. What sub$-$system would you invest resources in to increase the overall reliability of the system? Describe why you chose this without using reliability equations. Subsystem A $=0\mathrm{.}97$

Subsystem I $=0\mathrm{.}98$

Subsystem B $=0\mathrm{.}82$

Subsystem J $=0\mathrm{.}80$

Subsystem C $=0\mathrm{.}84$

Subsystem K $=0\mathrm{.}61$

Subsystem D $=0\mathrm{.}96$

Subsystem L $=0\mathrm{.}75$

Subsystem E $=0\mathrm{.}92$

Subsystem M $=0\mathrm{.}93$

Subsystem F $=0\mathrm{.}89$

Subsystem N $=0\mathrm{.}97$

Subsystem G $=0\mathrm{.}72$

Subsystem O $=0\mathrm{.}99$

Subsystem H $=0\mathrm{.}84$