a. Write the algorithm for Simplex Method, Also Solve the following Linear Programming Problem (LPP) by using simplex Method: Max Z = 3x1 + 2x2 Subject to 4x, + 3x2 s 12 4x, + x2 5 8 4x, - x2 58 X , X2 20 b.Define Duality in Linear Programming Problem (LPP), Also Write the Dual of the following Primal LP problem: Max Z = x1 + 2x2 + X3 Subject to 2x, + x2 - X, S2 -2x1 + x2 - 5x3 2 -6 4x1 + X2 + X3 S6 X1 , X2 , Xa 20

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A: Note:- As per our guidelines, we can answer the first three sub parts of this problem. For the…

Q: 2.2. Solve the following linear programs using the simplex method. If the problem is t- dimensional,…

A: Given: Minimize: z=-5x1-7x2-12x3+x4 Subject to 2x1+3x2+2x3+x4≤38 3x1+2x2+4x3-x4≤55 x1,x2,x3,x4≥0

Q: 1. Solve the following Linear Programming Problem(LPP) using Simplex Method max Z = 5xı + 4x2…

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Q: 3. Consider the following quadratic programming problem: min -2x, – 2x2 + xỉ + 2x – 2x,x2 s.t. X1…

A: given problem min -2x1-2x2+x12+2x22-2x1x2 such that x1+x2≤32x1+3x2≥6x1 , x2≥0

Q: Consider the following integer linear programming problem Max Z =         3x1 + 2x2 Subject to:…

A: Given information Max Z =         3x1 + 2x2 Subject to:      3x1 + 5x2 ≤ 30…

Q: Consider the following linear programming problem: Мах 16x1 + 14x2 + 15x3 + 50x4 2x1 + 2x2 + 5x3 +…

A: Given,

Q: 2) Solve the following linear programming problems by the simplex method. Hint: Find the pivot…

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Q: Consider the primal linear programming problem below. Maximise x1 + x2 + 5/4 x3, subject to 8x1 +3x2…

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Q: consider the following linear programming problem: min Z = 4x1 + 5x2+2x3 st: 3x1+x2 ≥ 150…

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Q: Solve the following linear programming problem using Denz-Wolf decomposition technique: Max z = 7x1…

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Q: Solve the following linear programming problem using Denz-Wolf decompositi technique: Max z = 7x1+…

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Q: 5. Consider the following linear programming problem Maximize: P=12x1 +10x2 subject to: 5x1 + 3x2…

A: Given- Consider the following Linear programming Problem: Maximize: P = 12x1 + 10x2subject to: 5x1 +…

Q: Consider the following Linear Programming problem: Min z = 2x1 – 3x2 Subject to 1 1 x1 + 3x2 2 20 X1…

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Q: Consider the linear programming problem min{cTx : Ax = b, x > 0} where %3D 1 A = , b = - -2 3

A: Let x=x1x2x3. Minimum function is cTx=1-10x1x2x3=x1-x2. Since Ax=b,…

Q: Solve the following linear programming model by the Simplex Method: Maximum (Z) = 3X1 + 5X2…

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Q: 2.2. Solve the following linear programs using the simplex method. If the problem is two…

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Q: A workshop that produces two types of chemicals, Article (1) needs 2 km of material B and 3 working…

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Q: 5. Consider the following linear programming problem: Maximize: P=12x1 +10x2 subject to: 5x1 +3x2…

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Q: Consider the primal linear programming problem below. Maximise x1 + x2 +5/4 x3, subject to 8x1 + 3x2…

A: For the solution follow the next steps.

Q: b) Consider the following Linear Programming problem: Min z = 2x, – 3x2 Subject to 1 1 z* +2 54 X1 +…

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Q: Consider the following linear programming problem: Мах 16x, + 14x2 + 15x3 + 50x4 2x, + 2x2 + 5x3 +…

A: Since the question has multiple subparts, we would be solving first three. Please resubmit the…

Q: A: Find the solution to the following linear programming problem using the simplex method Max…

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Q: Consider the following linear program: max z = -2x1 + x2 – 4x3 +3x4 subject to x1 + x2 + 3x3 + 2x4…

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Q: 2. Find the optimal solution of the following linear programming (LP) problem using the dual simplex…

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Q: Solve the following linear programming problem by the simplex method: Maximize P = x + 2y - z…

A: We will find solution using Simplex method (BigM method) MAX Z = x + 2y - z subject to 2x + y + z…

Q: Find the solution to the following linear programming problem by dual simplex method Min Z= 2X₁ +4X₂…

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Q: Consider the following linear programming problem -2r3 - 4 – 15 - min in the standard form with…

A: The given linear programming problem is, Min Z= -2x3-x4-x5s.t. x1+x2+5x3+8x4+7x5=3…

Q: Solve the linear programming problem. Minimize and maximize P= 25x + 15y 5x + 7y 2 64 10x + 3y s 106…

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Q: 3. Solve the following linear programming problem by using simplex table method. МАX Z 3 15х, — 3x2…

A: The mentioned problem is converted to canonical form by adding slack, surplus and artificial…

Q: Recreate the LINEAR PROGRAMMING PROBLEM based on the image of the LP MODEL attached below

A: Given LP Model :-  Decision Variables r = number of bottles of Rejoice produced in the current week…

Q: 2. Solve the following linear programming problem by the simplex algorithm. Maximize 2.xi + x2…

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Q: x ≥ 0, y ≥ 0 Which of the following statements is true?   A. The feasible region is unbounded, and…

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Q: 1- Write the standard form of the following linear programming problems. max z = 6x1 + 3x2 s.t. -…

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Q: Q1:2- Solve the following linear programming problem by Big-M method, Jui Jaall die daš güll ?stop…

A: To solve the given LPP using Big-M method, MaxZ=x1+3x2+4x3+5x4s.t.     4x1+3x2+2x3+x4≤10…

Q: Solve the following problem using the tableau implementation of the simplex algorithm. minimize -…

A: Min Z = - 6 x1 - 4 x2 + 2 x3 subject to     x1 + 2 x2 + 4 x3 ≤ 20       - 5 x2 + 5 x3…

Q: A: Find the solution to the following linear programming problem using the simplex method Max…

A: find the solution to the following linear programming problem using the simplex method max…

Q: Solve the standard form linear programs with the following initial simplex tableaus: (b) X2 X4 -1 -1…

A: Consider the equation

Q: MIN z=10x,+6x2 4 x,+2x,224 X,<14 X,+2 x,=12 X1,X,20

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Q: Below is the Simplex table of a basic feasible solution (BFS) of a linear programming problem where…

A: Since , it is given in the question that x2 is entering as a basic variable in third row, So the…

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Q: Solve the given linear programming problem using the table method Maximize P=7x₁ +6x₂ subject to:…

A: Given LPP is max P=7x1+6x2subject to:3x1+x2≤21x1+x2≤10x1+2x2≤12x1,x2≥0 Now using slack  variable max…

Q: Solve the following linear programming problem by big M method Minimize z=-3x₁+x₂ + x3 Subject to…

A: To find- Solve the following linear programming problem by Big M method Minimize  Z = -3x1 + x2 +…

Q: Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2 +…

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Q: Consider the following integer programming problem: xị + 3x2 + 2x3 max s.t. x1 + 2x2 < 5, 4.x1 – 5x2…

A: Given: Integer programming problem                  Max  x1+3x2+2x3s.t.    x1+2x2≤5…

Q: Find the dual problem to the following linear programming problem Minimize z = 3x1 +5x2 +2x3 subject…

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Q: In a binary integer programming model, which of the following constraints is needed if for the…

A: Solution of the problem as follows