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Graphical method

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 max z = 2x1  x2
subject to 3x1  x2 <= 3 4x1  3x2 <= 6 x1  2x2 <= 3 and x1,x2 >= 0
 max z = 15x1 + 10x2
subject to 4x1 + 6x2 <= 360 3x1 <= 180 5x2 <= 200 and x1,x2 >= 0
 max z = 2x1 + x2
subject to x1 + 2x2 <= 10 x1 + x2 <= 6 x1  x2 <= 2 x1  2x2 <= 1 and x1,x2 >= 0
 max z = x1 + 2x2
subject to x1  x2 <= 1 0.5x1 + x2 <= 2 and x1,x2 >= 0
 max z = 40x1 + 80x2
subject to 2x1 + 3x2 <= 48 x1 <= 15 x2 <= 10 and x1,x2 >= 0
 max z = 60x1 + 40x2
subject to x1 <= 25 x2 <= 35 2x1 + x2 <= 60 and x1,x2 >= 0
 min z = 3x1 + 2x2
subject to 5x1 + x2 >= 10 x1 + x2 >= 6 x1 + 4x2 >= 12 and x1,x2 >= 0
 min z = 600x1 + 400x2
subject to 3x1 + 3x2 >= 40 3x1 + x2 >= 40 2x1 + 5x2 >= 44 and x1,x2 >= 0
 min z = 4x1 + 3x2
subject to 200x1 + 100x2 >= 4000 x1 + 2x2 >= 50 40x1 + 40x2 >= 1400 and x1,x2 >= 0
 min z = x1 + 2x2
subject to x1 + 3x2 <= 10 x1 + x2 <= 6 x1  x2 <= 2 and x1,x2 >= 0
 max z = 15x1  10x2
subject to 3x1  5x2 <= 5 5x1  2x2 <= 3 and x1,x2 >= 0
 max z = 600x1 + 500x2
subject to 2x1 + x2 >= 80 x1 + 2x2 >= 60 and x1,x2 >= 0
 max z = 3x1 + 2x2
subject to x1  x2 >= 1 x1 + x2 >= 3 and x1,x2 >= 0
 max z = 5x1 + 4x2
subject to x1  2x2 <= 1 x1 + 2x2 >= 3 and x1,x2 >= 0
 max z = 4x1 + 3x2
subject to x1  x2 <= 0 x1 <= 4 and x1,x2 >= 0
 max z = 3x1 + 4x2
subject to x1  x2 = 1 x1 + x2 <= 0 and x1,x2 >= 0
 max z = 6x1  4x2
subject to 2x1 + 4x2 <= 4 4x1 + 8x2 >= 16 and x1,x2 >= 0
 max z = x1 + 1/2x2
subject to 3x1 + 2x2 <= 12 5x1 = 10 x1 + x2 >= 8 x1 + x2 >= 4 and x1,x2 >= 0
 max z = 3x1 + 2x2
subject to 2x1 + 3x2 <= 9 3x1  2x2 <= 20 and x1,x2 >= 0





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Solve the following LP problem
using Graphical method





