Problem $7($Scheduling$)-10$ points

Each of seven jobs needs to go through work center named $"$La La land". The manager, Mia Dolan's goal is to find the optimum sequence of jobs to minimize the fotal makespun $($flow time$).$ Your facility opens at $8$AM$.$

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|\}$

$\backslash$hline Job & $\backslash$begin$\{$tabular$\}\{$c$\}$

Processing Time at the $\backslash \backslash$

Work Center $($mins$)$

$\backslash$end$\{$tabular$\}$ & Due Date in mins $\backslash \backslash$

$\backslash$hline A & $13$ mins & $\backslash (8$: $30\backslash$mathrm$\{$AM$\}\backslash )\backslash \backslash$

$\backslash$hline B & $15$ mins & $\backslash (8$: $30\backslash$mathrm$\{$AM$\}\backslash )\backslash \backslash$

$\backslash$hline C & $12$ mins & $\backslash (8$: $40\backslash$mathrm$\{$AM$\}\backslash )\backslash \backslash$

$\backslash$hline D & $16$ mins & $\backslash (8$: $30\backslash$mathrm$\{$AM$\}\backslash )\backslash \backslash$

$\backslash$hline E & $13$ mins & $\backslash (9$: $00\backslash$mathrm$\{$AM$\}\backslash )\backslash \backslash$

$\backslash$hline F & $17$ mins & $\backslash (8$: $50\backslash$mathrm$\{$AM$\}\backslash )\backslash \backslash$

$\backslash$hline G & $4$ mins & $\backslash (9$: $30\backslash$mathrm$\{$AM$\}\backslash )\backslash \backslash$

$\backslash$hline

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

Q$7-1.$ Assume that all the jobs are ready $8$AM$.$ Apply the SPT $($shortest processing time$)$ rule to find the processing sequence of jobs. What is the sequence $($tic can be broken arbitrary$)?$