Student Premier Painters $($SPP$)$ has six house painting jobs in a particular neighborhood. The houses vary in size, condition, and painting requirements, but each house must be prepped $($cleaned$,$ sanded, and primed$)$ first, before it is painted. The relevant information is given.

Days

Houses

Prep

Paint

Arnold

$4$

$3$

Blake

$3$

$6$

Coffman

$2$

$5$

Downs

$3$

$2$

Eckels

$6$

$4$

Farber

$5$

$7$

Sequence the painting jobs to minimize makespan.