Question: 2. [10 Pt.] A linear programming problem is given as follows: Maximize = 41 + 2 Subject to 81 + 22 16 41 + 22

2. [10 Pt.] A linear programming problem is given as follows:

Maximize = 41 + 2

Subject to 81 + 22 16

41 + 22 12

2 2

1, 2 0

(i) [5 Pt.] Identify the feasible solution area graphically on the following plot (by shading the area).

(ii) [5 Pt.] What is the solution of the optimization problem? (x1=?,x2=?,z=?)

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