Question: Consider the following linear program: Min 2 A + 2 B s.t. A + 3 B 12 3 A + B 13 A - B

Consider the following linear program:

Min 2 A + 2 B
s.t.
A + 3 B 12
3 A + B 13
A - B = 3
A, B 0

  1. Choose the correct graph that shows the feasible region.
    (i)

    Feasible Region

    B

    A

    		 (ii)

    Feasible Region

    B

    A
    (iii)

    Feasible Region

    B

    A

    		 (iv)

    Feasible Region

    B

    A
    Graph (i)
  3. What are the extreme points of the feasible region? There are two extreme points: (A = 4, B = 1) and (A = 6.75, B = 3.75)
  5. Find the optimal solution. The optimal solution is A = , B =

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