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MHT CET · Maths · Area Under Curves

The objective function z=x1+x2 , subject to x1+x210,-2x1+3x215,x16,x1,x20 has maximum value _________ of the feasible region.

  1. A at only one point
  2. B at only two points
  3. C at every points of the segment joining two points
  4. D at every points of the line joining two points
Verified Solution

Answer & Solution

Correct Answer

(C) at every points of the segment joining two points

Step-by-step Solution

Detailed explanation

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