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in Linear Programming by (27.7k points)
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Minimize Z = 2x + 3y, subject to the constraints 

x ≥ 0, y ≥ 0, x + 2y ≥ 1 and x + 2y ≤ 10.

1 Answer

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by (25.7k points)
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Best answer

The feasible region determined by the x ≥ 0, y ≥ 0, x + 2y ≥ 1 and x + 2y ≤ 10 is given by

The corner points of the feasible region is A(0, \(\frac{1}{2}\)), B(0,5), C(10,0), D(1,0).

The value of Z at corner points are

The minimum value of Z is \(\frac{3}{2}\) at point A(0, \(\frac{1}{2}\)).

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