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.

Question

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., at only one point, at only two points, at every points of the segment joining two points, at every points of the line joining two points

MARKS App · Accepted Answer

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

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