Dual problem below: Min Z = 120y, + 6y2 + 105y3 Subject to : 3y1 + 5y2 + 8y3 2 3 10y, + 2y2 + 10y3 2 4 5y1 + 8y2 + 3y3 2 1 Y1. Y2, Y3 20 1) Convert dual problem to primal problem 2) Use the simplex method to find optimal solution in primal problem

Q: Solve using Lagrange Mult ipliera, fenal anewere phould have 4 decimal placia. Find the maximum and…

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Q: Write the dual maximization problem, and then solve both the primal and dual problems with the…

A: Converting the given problem in standard form, using surplus and artificial variable. Max g =…

Q: 2. Maximize z = 2x₁ - 1x₂ + 3x3 Subject to: 1x₁ - 5x₂ + x₂ ≤ 10 - - 2x₁ − 1x₂ − 1x₂ + ≤ 40 X₁, X₂,…

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Q: Solve applying the simplex method to the dual problem. Minimize C="6y,+8y, +12y3 Subject to y+3y,…

A: Introduce the dual variables x1, x2 and x3, to write the dual problem of the given primal problem.…

Q: Solve using the simplex method. Find x, 20 and x, 2 0 such that X1 + 2x2 2 24 X1 + X2 5 40 and z =…

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Q: max -221 +372 21.72 s.t. 1+1222, 221 +2₂ ≤ 4, #1 20, 2₂ ≥ 0. (a) Write down the equivalent LP…

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Q: Solve the given LP problem using the Simplex Metho Маximize: Р%3D 12х + 15у + 5z Subject to: 2х + 2y…

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Q: Minimize C=5x+y, subject to 3x+y>30, x+4y>10, x,y,>0 Standard minimization / dual problem a)change…

A: We first change the problem  to a maximization  problem by the technique of dual finding  method.

Q: Consider the problem Maximize Ζ = 2x1 + 3x2 + 4x3 Subject to  2x1 + 3x2 + 5x3 ≥ 2…

A: Given that, The problem Maximize Ζ = 2x1 + 3x2 + 4x3   Subject to 2x1 + 3x2 + 5x3 ≥ 2…

Q: subject to: Max z 4x12x2 + x3 2x1 x3 = 5 x2 + 3x3 3x1 + x₂ ≤ 6 X1, X2, X3 20 - -7

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Q: Use the Simplex method to maximize the freton z= 3x+ 212 Subject to the Constraints +22 6, 2x,+28…

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Q: The following problem represents a dual maximization problem: Max Z = 6x₁ + 8x₂ + 4x3 subject to y₁…

A: Objective Function: Maximize: W = 2Y1 + 10Y2 + 8Y3 Subject to: 1Y1 + 0Y2 - 1Y3 ≤ 2 1Y1 + 1Y2 + 2Y3 ≤…

Q: الوضوع Solve by simplex method the following.Linear prablem : Max Z= 2 Xx +3 Xz stabject to: - 1) X,…

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Q: H.W / Find the dual problem of the following L.p primal problem: 2) Max Z=x1- X2 Sub.to 2x1+x=5 3x1-…

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Q: Consider the following Simplex problem: Max. Z=: 3X1 + 5X2- -(OF) Subject to: X1 + 6X2 less than or…

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Q: B. Convert primal problem to dual problem: Minimize Z = 4x₁ + 2x₂-x3 Subject to: x₁ + x₂ + 2x3 ≥ 3…

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Q: 10) Solve this linear problem using the Big M method. Min z = x1 - 2x2 + x3 Subject to: xl + x2 -x3…

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Q: 2) Min Z = 5x1 +6x2 X1+ 9x2<60 2x1+3x2 <45 5x,+ 2x2220 Sub. to X1, X2 20

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Q: Q1/ Use the simplex method to Solve the following problem? Max Z= 8 x1 + 10x2 + 7 x3 Subject to: x1…

A: The given problem is a maximization problem. So we first write in the standard form by introducing…

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: Minimize Z= 22, +422 Subject to constraint 2 +3x2 S48 2i+3x2542 )use Dynamic Bropramming to solue.…

A: (a) Dynamic programming: Since all constraints are bounded above. We convert this into a…

Q: Consider the following LP: Subject to Maximize z = x₁ 5X + X2 = 4

A: Given,  Maximize z=x1, Subject to                5x1+x2                    =46x1         +x3…

Q: Minimize c=2x+10y subject to x+3y > 10,  3x+4y > 20 x,y, >0 using simplex method.

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

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: min X2 subject to X2 = 1 X1, X2 > 0

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Q: Q.No.4.a. When problem become unrestricted after changing primal to dual simplex Method justify your…

A: Given information:Minz=x1−3x2+3x3Subjectto:3x1−x2+2x3≤72x1+4x2≥−12−4x1+3x2+8x3≤10x1,x2,x3≥0To find:…

Q: 3) f(x1, x2) = -2x + 3x² - 8x1x2 + 3x1 + 3x2 Restrictions 3x² + x2 = 10 4x + 2x² = 12 Solve the…

A: ## Resolving the Equation System: Now let us solve the system of equations for x1, x2, λ₁, and λ₂…

Q: max z = 2x + 8y s.t Зх + 9y < 45 2х + у 2 12 х, у 20

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Q: 22x1 + 44x2 + 33x3 subject to x1 + 2x2 + x3 > 3, x1 + x3 > 3, 3x1 + 2x2 + 2x3 > 8 using two…

A: i) Dual problem: Primal is  MIN Zx =   22 x1 + 44 x2 + 33 x3 subject to     x1 +…

Q: Q2): Dual problem below: Min Z = 120yı + 6y2 + 105y3 Subject to : 3y1 + 5y2 + 8y3 2 3 10y, + 2y2 +…

A: Given Dual problem belowMin z=120y1+6y2+105y3Subject…

Q: H.W/ using dual simplex method to solve the following L.P problems: 1) Min Z = 3x1 +2x2+3x3…

A: The given problem is Min Z=3x1+2x2+3x3 sub to x1+4x2+x3≥72x1+x2+x4≥10x1, x2, x3, x4≥0

Q: Minimi Suhiect 11

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Q: Solve the LPP by using Big M method Maximize z = x1 + 5x2 subject to 3x1 + 4x2 s6 x1 + 3x2 2 2 x1,…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Maximize Z = 5x1+12x2+4x3 Subject to, x1+2x2+x3 =0

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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: uestion 2 Solve the following LPP problem using the simplex method: ime in Mazimize z 2.x, +3x, +4x,…

A: As per Bartleby guidelines we're supported to answer only one question when two or more different…

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…