Graphical Method  of Solving L.P.P

Here you will find "Graphical Method of Solving L.P.P" related problems & solutions.

(Q)  Minimize , z=-2x1+7x2

                    Subject to 3x1+2x2≤17

                                       -2x1+3x2≤6

                                        x2≥1 , x1,x2≥0

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(Q) Minimize, z=-2x1+3x2

                        Subject to -x1+2x2≤4

                                          x1+x2≤6

                                           x1+3x2≥9 , x1,x2≥0

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(Q) Maximize, Z= x1+5x2

Subject to x1+x2≤4

                  2x1+x2≤6

                  4x1+3x2≥28 , x1≥0,x2≥0

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(Q) Maximize , z=3x1+4x2

                           x1-x2≤-1

                           -x1+x2≤0 , x1,x2≥0

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(Q) Maximize, z=2x1-6x2

                    Subject to 3x1+2x2≤6

                                       x1-x2≥(-1)

                                       -x1-2x2≥1 , x1,x2≥0

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(Q) Minimize, z=4x1-x2

                Subject to 3x1+2x2≤10

                                   3x1+2x2≥20 , x1≥0,x2≥0

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(Q) Maximize, z=2x1+4x2

                         Subject to 2x1+3x2≤48

                                            x1+3x2≤42

                                            x1+x2≤21, x1,x1≥0

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Maximize , z=10x1+15x2

           Subject to x1+X2=2

                             3x1+2x2≤6 , x1,x2≥0

Find the extreme points of  the convex set of feasible solutions. Also find optimal value.

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