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alim Universitesi LMS adi Consider the following linear programming model Maximize z = 3x1 + 2 X2 s.t. Xi 54 X1 + 3x2 = 15 2X
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Answer #1

The feasible region is th eregion bounded by corner points as shown below:

1595573692664_image.png

The value of the objective funcion 3x_1+2x_2 at each corner point is:

(x_1,x_2) Objective value (Z)
(0,5) 3x0 + 2x5 = 10
(3,4) 3x3 + 2x4 = 17
(4,2) 3x4 + 2x2 = 16
(4,0) 3x4 + 2x0 = 12

The maximum value (optimal) is 17 hence, optimal solution occurs at (x_1,x_2) = (3,4)

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