If objective function is

Max $5$A$+2$B

Value of objective function on corner points:

A

B

z

$1$

$5$

$15$

$3$

$1$

$17$

$6$

$2$

$34$

$5$

$4$

$33$

Optimal solution:

A $=6,$ B $=2$

Optimal value:

Z $=34$