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 ** check different types of Graphical method examples Algorithm and examples Method 1. Simplex method (BigM method) 2. TwoPhase method 3. Dual simplex method 4. Integer simplex method 5. Graphical method 6. Primal to Dual 7. Branch and Bound method 8. 0-1 Integer programming problem 9. Revised Simplex method Solve the Linear programming problem using Graphical method calculator Type your linear programming problem OR Total Variables :   Total Constraints : Click On Generate Mode : Auto Fraction Decimal Zj-Cj (display in steps) Alternate Solution (if exists) Artificial Column Remove Subtraction Steps max z = -2x1 - x2subject to-3x1 - x2 <= -3-4x1 - 3x2 <= -6-x1 - 2x2 <= -3and x1,x2 >= 0 max z = 15x1 + 10x2subject to4x1 + 6x2 <= 3603x1 <= 1805x2 <= 200and x1,x2 >= 0 max z = 2x1 + x2subject tox1 + 2x2 <= 10x1 + x2 <= 6x1 - x2 <= 2x1 - 2x2 <= 1and x1,x2 >= 0 max z = -x1 + 2x2subject tox1 - x2 <= -1-0.5x1 + x2 <= 2and x1,x2 >= 0 max z = 40x1 + 80x2subject to2x1 + 3x2 <= 48x1 <= 15x2 <= 10and x1,x2 >= 0 max z = 60x1 + 40x2subject tox1 <= 25x2 <= 352x1 + x2 <= 60and x1,x2 >= 0 min z = 3x1 + 2x2subject to5x1 + x2 >= 10x1 + x2 >= 6x1 + 4x2 >= 12and x1,x2 >= 0 min z = 600x1 + 400x2subject to3x1 + 3x2 >= 403x1 + x2 >= 402x1 + 5x2 >= 44and x1,x2 >= 0 min z = 4x1 + 3x2subject to200x1 + 100x2 >= 4000x1 + 2x2 >= 5040x1 + 40x2 >= 1400and x1,x2 >= 0 min z = -x1 + 2x2subject to-x1 + 3x2 <= 10x1 + x2 <= 6x1 - x2 <= 2and x1,x2 >= 0 max z = -15x1 - 10x2subject to-3x1 - 5x2 <= -5-5x1 - 2x2 <= -3and x1,x2 >= 0 max z = 600x1 + 500x2subject to2x1 + x2 >= 80x1 + 2x2 >= 60and x1,x2 >= 0 max z = 3x1 + 2x2subject tox1 - x2 >= 1x1 + x2 >= 3and x1,x2 >= 0 max z = 5x1 + 4x2subject tox1 - 2x2 <= 1x1 + 2x2 >= 3and x1,x2 >= 0 max z = -4x1 + 3x2subject tox1 - x2 <= 0x1 <= 4and x1,x2 >= 0 max z = 3x1 + 4x2subject tox1 - x2 = -1-x1 + x2 <= 0and x1,x2 >= 0 max z = 6x1 - 4x2subject to2x1 + 4x2 <= 44x1 + 8x2 >= 16and x1,x2 >= 0 max z = x1 + 1/2x2subject to3x1 + 2x2 <= 125x1 = 10x1 + x2 >= 8-x1 + x2 >= 4and x1,x2 >= 0 max z = 3x1 + 2x2subject to-2x1 + 3x2 <= 93x1 - 2x2 <= -20and x1,x2 >= 0

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