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Q3 of 97 Page 1376

Find the minimum value of Z = 3x + 5y, subject to the constraints
- 2x + y _≤ 4, x + y _≥ 3, x - 2y _≤ 2, x _≥ 0 and y _≥ 0

The feasible region determined by the - 2x + y _≤ 4, x + y _≥ 3, x - 2y _≤ 2, x _≥ 0 and y _≥ 0 is given by

Here the feasible region is unbounded. The vertices of the region are A(0,4) ,B(0,3) ,C. The values of Z at the following points is

The minimum value of Z is at point C.

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