Question: Consider the following optimization problem: Max 21 + 2 s.t. 31 + 2 6 (1) 1 2 1 (2) 41 + 52 20 (3) 1,

Consider the following optimization problem:

Max 21 + 2 s.t. 31 + 2 6 (1)

1 2 1 (2)

41 + 52 20 (3)

1, 2 0

(a) Draw the feasible region of the above LP. Clearly label the axes and the constraint numbers using the numbering provided above.

(b) Identify the optimal solution and compute the optimal value.

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