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, \(\frac{1}{2}\)).