Problem $7-16($Algo$)$

The following diagram represents a process where two components are made at stations A$1$ and A$2($one component is made at A$1$ and the other at A$2).$ These components are then assembled at station B and moved through the rest of the process, where some additional work is completed at stations C$,$ D$,$ and E$.$

Assume that one and only one person is allowed at each station. Assume that the times given for each station represent the amount of work that needs to be done at that station by that person, with no processing time variation. Assume that inventory is not allowed to build in the system.

A path diagram. The path diagram consists of $6$ nodes, A $1,$ A $2,$ B$,$ C$,$ D$,$ and E$.$ The time below nodes A $1,$ A $2,$ B$,$ C$,$ D$,$ and E reads, $0\mathrm{.}30$ minutes, $0\mathrm{.}40$ minutes, $0\mathrm{.}75$ minutes, $0\mathrm{.}85$ minutes, $0\mathrm{.}60$ minutes, and $0\mathrm{.}55$ minutes respectively. Nodes A $1$ and A $2$ lead to node B$.$ Node B leads to node C$.$ Node C leads to node D$.$ Node D leads to node E$.$

What is the average hourly output of the process when it is in normal operation?