Given the following precedence relationships

$\backslash$begin$\{$tabular$\}\{$lcl$\}$

Task & Immediate Follower & Time $($min$)\backslash \backslash$

$\backslash$hline a & b & $0\mathrm{.}2\backslash \backslash$

b & e & $0\mathrm{.}2\backslash \backslash$

c & d & $0\mathrm{.}8\backslash \backslash$

d & f & $0\mathrm{.}6\backslash \backslash$

e & f & $0\mathrm{.}3\backslash \backslash$

f & g & $1\mathrm{.}0\backslash \backslash$

g & h & $0\mathrm{.}4\backslash \backslash$

h & end & $0\mathrm{.}3$

$\backslash$end$\{$tabular$\}$

and that we assume an $8-$hr workday and that the desired output is $400$ units per day, balance the production line using the following heuristics to assign tasks to workstations:

$-\backslash (\backslash$quad $\backslash )$ Ranked positional weight

$-$ Longest operation time

$-\backslash (\backslash$quad $\backslash )$ Shortest operation time

$-\backslash (\backslash$quad $\backslash )$ Most number of following tasks

$-\backslash (\backslash$quad $\backslash )$ Least number of following tasks