$17\mathrm{.}20.$ Precision Painters, Inc., has five house$-$painting jobs in one neighborhood. The houses differ in size, state of repair, and painting requirements, but each house must be prepped $($cleaned$,$ old paint chipped off, primed$)$ first and then painted.

In what sequence should the houses be worked on to finish all five houses as soon as possible? Chart out your job completions and calculate the makespan.

Use LPT to sequence the houses for prep work. Paint will follow in the same sequence. Calculate makespan. How much time is saved with Johnson$$s rule?

Days

Houses

Prep

Paint

Addison

$4$

$2$

Brown

$3$

$6$

Clayton

$6$

$4$

Daniels

$5$

$6$

Ebersole

$1$

$4$