Problem $33$

Solve the following linear program using the graphical solution procedure. Make sure you label each axis and the origin. Identify the feasible area. Identify the optimal solution. Place variable A on the horizontal axis.

Min $A+2B$

$s.t.A+4B21$

$2A+B7$

$3A+1\mathrm{.}5B21$

$-2A+6B0$

$A,BC$

What is the optimal solution?

What is the value of the objective function?

Change the objective function to $5A+2B$

What is the optimal solution?

What is the value of the objective function?

Show Work.