Question: 2. [10 Pt.] A linear programming problem is given as follows: Maximize Z = - 4x1 + x2 Subject to 8x1 + 2x2 > 16

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

2. [10 Pt.] A linear programming problem is given as follows: Maximize Z = - 4x1 + x2 Subject to 8x1 + 2x2 > 16 4x1 + 2x2 12 x2 2 2 X1, X2 20 (1) [5 Pt.] Identify the feasible solution area graphically on the following plot (by shading the area) x2 F E D A 00 G (0,0) x1 H (ii) [5 Pt.] What is the solution of the optimization problem? (x1=?,x2=?,z=?) 3

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