Consider the following linear program:

MIN $Z=60A+50B$

$s.t.10A+20B200$

$,8A+5B80$

$,A2$

$,B5$

Solve this linear program graphically and determine the optimal quantities of A$,B,$ and the value of $Z.$

$A=12,B=2,Z=820$

$A=8\mathrm{.}5,B=5,Z=760$

$A=8,B=8,Z=880$

$A=2,B=5,Z=370$

$A=5B=5,Z=550$

$A=10,B=3,Z=750$