I am stucktrying to solve for the following:

Min 2A + 2B

s.t.

A. 1A + 3B <= 12

B. 3A + 1B >= 13

C. 1A - 1B = 3

I need to

A. Show the Feasibility Region

B. What is the extreem point of the feasible region

C. Find the optimal solution using the graphical solution procedure.

I found my lines:

A.(0,4) (12,0)

B. (0,13)(4.333,0) This one I am unsure

C. (0,-3)(3,0)

I believe my extreme points of feasibility have to be on the line because of equation C, however dont know how to get to it.

I can add lines B and C (4,1)

but when I add lines A and C I get confused.

Please help.