Process Flow Time Analysis

A production process for a product involves the following steps, some of which can be done in parallel. The process includes the possibility of rework if defects are found:

Material Preparation: $1$ hour

Cutting and Shaping happening at the same time:

Cutting: $1\mathrm{.}5$ hours

Shaping: $2$ hours

Assembly: $2$ hours

Inspection: $1$ hour $(10\%$ need rework$)$

Packaging: $0\mathrm{.}5$ hours for small parts $(30\%)$ and $1$ hour to large parts $(70\%)$

What is the Core Process Flow time in hours $(2$ decimals$)$

STEP $1$: Draw Process Map.

STEP $2$: Compute Work Content of Each Activity.

STEP $3$: Identify Paths and Compute Total Work Content of Each Path and Identify Critical Path.