Question $3(50$ points$)$:

College students always have a lot of work to do$,$ but this semester, Katie Lawrence is overwhelmed.

Following are the assignments she faces $($listed in the order in which they were received$),$ the estimated completion times $($in days$),$ and due dates. Today is November $3.$

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

$\backslash$hline Assignment & Estimated Completion Time & Due Date $\backslash \backslash$

$\backslash$hline $1.$ Management case & $4$ & November $20\backslash \backslash$

$\backslash$hline $2.$ Marketing survey & $8$ & December $3\backslash \backslash$

$\backslash$hline $3.$ Financial analysis & $7$ & November $25\backslash \backslash$

$\backslash$hline $4.$ Term project & $17$ & December $15\backslash \backslash$

$\backslash$hline $5.$ Computer program & $11$ & December $2\backslash \backslash$

$\backslash$hline

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

Help Katie prioritize her work so that she completes as many assignments on time as possible. Use the SPT$,$ DDATE, SLACK, CR$,$ and FCFS sequencing rules. Which rule would you recommend? How would your sequence of assignments change if Katie were interested in minimizing the mean tardiness of her assignments?