Using the dual simplex, please solve the following linear program min z = x1 +x2 s.t. 2x tx2 5 2x1 + 3x2 26 (all x's are nonnegative) Using the dual simplex, please solve the following l...
samplex Problem1: Solve the following problem using simplex method: Max. z = 2 x1 + x2 – 3x3 + 5x4 S.t. X; + 7x2 + 3x3 + 7x, 46 (1) 3x1 - x2 + x3 + 2x, 38 .(2) 2xy + 3x2 - x3 + x4 S 10 (3) E. Non-neg. x > 0, x2 > 0, X3 > 0,44 20 Problem2: Solve the following problem using big M method: Max. Z = 2x1 + x2 + 3x3 s.t. *+...
Min 2x1 + x2 s.t. x1 + x2 ≥ 4 x1 – x2 ≥ 2 x1 – 2x2 ≥ –1 x1 ≥ 0, x2 ≥ 0 Please solve the linear program graphically, showing the objective function, all constraints, the feasible region and marking all basic solutions (distinguishing the ones that are feasible).
Q3. (Dual Simplex Method) (2 marks) Use the dual Simplex method to solve the following LP model: max z= 2x1 +4x2 +9x3 x1 x2 x3 S 1 -x1+ X2 +2x3 S -4 x2+ X1,X2,X3 S 0 Q3. (Dual Simplex Method) (2 marks) Use the dual Simplex method to solve the following LP model: max z= 2x1 +4x2 +9x3 x1 x2 x3 S 1 -x1+ X2 +2x3 S -4 x2+ X1,X2,X3 S 0
Use the simplex algorithm to find all optimal solutions to the following LP. max z=2x1+x2 s.t. 4x1 + 2x2 ≤ 4 −2x1 + x2 ≤ 2 x1 ≥1 x1,x2 ≥0
Solve by using the SIMPLEX method. Show all steps please. Thank you! min s.t. F(x)= 3x, – x2 g(x)=-4x2 + x2 50.5 g(x)= x2 + x2 56 g(x) = 3x, -X, 21 X2,4220 min s.t. F(x)=-3x, +xz g(x) = 0.5x, +xz 56 82(x)=-2x, +x, 2-5 h(x)= 0.5x4 – x2 = 1 ,42 30 min s.t. F(x) = 3x2 + x2 81(x) = 3x2 + x2 23 82(x)= x;/4+xz 21 83(x)=-2x, +xz 52 X1,4, 20
Consider the following all-integer linear program: Max x1+x2 s.t 4x1+6x2 <= 22 x1+5x2<= 15 2x1+x2<=9 x1,x2>=0 integer Solve in Excel Solver and AMPL.
QUESTION) Solve the DP given below using the revised simplex method. Min Z = X1 + 2x2 + 4x3 Öyle ki; 2x1 – 2x2 + x3 = 0 -2x1 + 4x2 + x3 = 8 4x1 + 3x2 – 2x3 = 17 X1, X2, X3 20
Solve the linear program using the simplex algorithm method maximize Z = 5x1 + x2 + 3x3 + 4x4 subject to: x1 – 2 x2 + 4 x3 + 3x4 s 20 –4x1 + 6 x2 + 5 X3 – 4x4 = 40 2x1 – 3 x2 + 3 x3 + 8x4 5 50 X1, X2, X3 , X4 20
Use the dual simplex method to solve the following LP. Max z = -4xı - 6x2 - 18x3 Subject to 2x1 + 3x3 2 3 3x2 + 2x3 25 X1, X2, X3 20
Use the dual simplex method to solve the following LP. Max z = -4xı - 6x2 - 18x3 Subject to 2x1 + 3x3 2 3 3x2 + 2x3 25 X1, X2, X3 20