$8\mathrm{.}2$ A small assembly line for the assembly of power steering pumps needs to be balanced. Exhibit $8\mathrm{.}14$ is the precedence diagram. The cycle time is determined to be $1\mathrm{.}5$ minutes. How would the line be balanced by choosing the assignable task having the longest task time first?

Exhibit $8\mathrm{.}14$

Precedence Diagram for Problem $39$

A precedence diagram comprises nine stages. A: $0\mathrm{.}5$ minutes per part. B: $0\mathrm{.}7$ minutes per part. C: $0\mathrm{.}2$ minutes per part. D: $0\mathrm{.}1$ minutes per part. E: $0\mathrm{.}8$ minutes per part. F: $0\mathrm{.}4$ minutes per part. G: $0\mathrm{.}4$ minutes per part. H: $0\mathrm{.}6$ minutes per part. I: $0\mathrm{.}5$ minutes per part. The sequence of the processes is as follows. A leads to C and D$.$ B leads to C$.$ C leads to E to H to I. D leads to G and F$.$ G leads to H to I. F leads to I.

$8\mathrm{.}2$ For the assembly line described in problem $39,$ how would the line be balanced by choosing the assignable task having the shortest task time first?