2. Given the following LP problem, find the optimal solution using the dual or generalized simplex method, whichever is applicable. Show your complet solution. Any other method used to get the optimal solution will not merit any point. lin z = 3x1 + 2x2 + x3 s.t. x1 + x2 + x3 <= 50 2x1 - x2 + x3 >= 15 x1 + x2 = 10 x1, x2, x3 >= 0

Q: Consider the following problem. Maximize Z= 3x₁ + 9x2, subject to 3x1 + 4x2 ≤ 12 x1 + 4x2 ≤ 6 5x1 +…

A: We have to find dual of given problem by the dual simplex method and the optimal solution.

Q: 1. Solve the following problem by using Dual Simplex methods Max. Z= 81 X1+ 100 X2 Objective…

A: Given that the objective function is                 Max. Z=81X1+100X2,Sub. to…

Q: max z = 3x₁ + Sx25x3 + 8x4 nx1 + x2 + x3 + 3x4 ≤ 7 -x₁- (s+n)x2 - X3 X4-2 X1, X2, X3, X4 20 -

A: (.) Given,           (.) standard form of maximization problem is,        then dual problem is given…

Q: For the simplex tableau, do parts (a) through (d). a. Determine which variable should be brought…

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Q: Solve the following problem by using the Simplex approach: Maximize Z = 4X1…

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Q: Use the simplex method to solve. Maximize z = 8x₁ + 4x2, subject to X₁ + X₂ ≤ 240 4x1 + 3x₂ ≤ 720 X1…

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Q: Maximize z = 0.3x, + 0.5x, + 1.2x3 Subject to constraint 12x, + 23x, + 12x, s 70 13x, – 52x, + 34x,…

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Q: Q3: Use the Simplex method to solve the following problem and find the optimal solution: Max. Z =…

A: Use the Simplex method We have to solve the following problem and find the optimal solution: Max Z =…

Q: Write down the situations in which study of OR(operational-research) become fail.

A: Consider the equation

Q: Q2/Solve the following LPP using simplex method and answer the following question. Minimize P = 5x1+…

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Q: (3) Write the standard form of the following LP. Use the Big M method to solve it and write the…

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Q: HW 4: Use the simplex method to solve the following problem and verify the solution by the graphical…

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Q: 4- Solve the following problem by the two-phase simplex method: x₁ + 3x₂-x3 2x₁ + x₂ + x3 ≥ 3 -x₂ +…

A: The given problem is to solve the given linear programming problem of min x1+3x2-x3 subject to the…

Q: Use the simplex method to solve the linear Maximize z=X, + 2x2 + X3 + 10x4 subject to: X, + 5x, + Xg…

A: We solve given LPP by Simplex Method.

Q: Consider the problem below and solve it using the Dual Simplex method. Maximize Z = -2x1 + 4x2 - X3…

A: Given that maximize  Z=-2x1 +4x2 -x3subject to4x1-x2-5x3≤ 222x1+3x2+2x3=12x1≥0,  x2, x3 is URS…

Q: Find the optimal value of the objective function for the LP problem (without using simplex method to…

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Q: 1:Use the simplex method to solve the following optimization model (solve one iteration). Min R =…

A: Let us write the problem in our usual notations for our own convenience. i.e.  Write x1 , x2  , x3…

Q: Solve the following problem using the standard simplex method. Minimize C =-4x - 7y Subject to 6x +…

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Q: b) Consider the following simplex problems: Max. Z=3X1 + 2X2 (Objective Function) Subject to: -XI +…

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Q: Use the simplex method to find the solution. (a) Maximize z = 4x₁ + 6x2 -₁ + x1 + Subject to: 2 2…

A: The given LPP,Maximize Subject to:The aim is to find the solution to the LPP using the simplex…

Q: Consider the following L.P. Problem: Max.Xo= 3 x1 +12 x2 Subject to: 2x1 + X2 ≤12 3x1 + 4X2 ≥ 21…

A: The given LPP is            Max   X0=3x1+12x2 subject to:           2x1+x2≤123x1+4x2≥21x1≥3x1≥0,…

Q: Over what range can the coefficient of x2 vary before the current solution is no longer optimal?…

A: To determine: The range over which the coefficient of x2 can vary before the current solution is no…

Q: Maximize 3x + 3y Subject to 2x + y <= 150 2x + 3y <= 300 Find the optimal solution for the above…

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Q: 1- Solve the following problem using the Simplex Method Max. Z = 6X + 10Xx_ Subject to: 4Xs 24 6X…

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Q: Q5) Solve the following linear programming by using simplex method: Max Z=4X1+ 5X2 Subject to: X1 +…

A: We have given LPP Problem ,  max z = 4x1 + 5x2subject to , x1 + x2 ≤ 103x1 + 7x2 ≤ 42x1 , x2 ≥0 The…

Q: Solve the linear programming problem Maximize z = 2x₁ + 9x2 subject to using the simplex method. 5x₁…

A: The given linear programming problem is: Maximize z=2x1+9x2, subject to…

Q: x+3y<= 9

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Q: K Solve by applying the simplex method to the dual problem. C= 10x₁ +7x2 + 12x3 X₁ + x₂ + 2x3 27 2x₁…

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Q: Use the Simplex Method to solve for X1 and X2: Objective function: Maximize z = 4x₁ + 3x₂ Subject…

A: Please see the attachment

Q: Solve the following LP problem using simplex method. Show all your solutions/tables used.…

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Q: subject to I1 x₂ = 2 = Use the simplex method to maximize 2= 7x₁ + 13x₂ 521 x 1 x1 X2 + + > X2 < 10…

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Q: Solve the following LP problem using graphical method. Max z = 3x₁ + 4x₂ Subject to 2x₁ + x₂ < 10 x₁…

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Q: 4 Show that if ties are broken in favor of lower-numbered rows, then cycling occurs when the simplex…

A: Given: max z=-3x1+x2-6x39x1+x2-9x3-2x4≤0x1+x23-2x3-x43≤0-9x1-x2+9x3+2x4≤1xi≥0   (i=1, 2, 3, 4) To…

Q: Use the simplex method to solve the linear programming problem. z = 8x₁-7x₂ + 4x3 2X₁ X₂ + 8x3 ≤ 48…

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Q: Solve by applying the simplex method to the dual problem. C= 10x₁ + 7x2 + 12x3 x₁ + x2 + 2x3 28 2x₁…

A: Objective Function: Minimize: C = 10X1 + 7X2 + 12X3 Subject to: 1X1 + 1X2 + 2X3 ≥ 8 2X1 + 1X2 + 1X3…

Q: max  z = 2x1 + 3x2 s.t.     2x1 + 4x2 ≤ 8          2x1 + 3x2 ≤ 9           x1, x2 ≥ 0   For the…

A: max  z = 2x1 + 3x2 s.t.     2x1 + 4x2 ≤ 8          2x1 + 3x2 ≤ 9           x1, x2 ≥ 0 We need to…

Q: c) (i) Use x. and x.as the initial basic variables and apply simplex method to solve: Maximize: z =…

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