The objective function z = x 1 + x 2 , subject to x 1 + x 2 ≤ 10 , - 2 x 1 + 3 x 2 ≤ 15 , x 1 ≤ 6 , x 1 , x 2 ≥ 0 has maximum value _________ of the feasible region.

Step-by-step solution

The graph of the feasible region for the given L.P.P is The value of objective function at corner points are z = [ x 1 + x 2 ] O = 0 z = [ x 1 + x 2 ] E = 6 z = [ x 1 + x 2 ] F = 10 z = [ x 1 + x 2 ] G = 10 z = [ x 1 + x 2 ] D = 5 Since the objective function is maximized at both points F and G, hence it will have a maximum value at every points of the segment joining points F and G