Use the Dual simplex method to solve the following problem and verify the solution by the graphical method. Minimize z = 3x1 + 8x2 subject to X1 + 3x2 2 12 3x + 5x2 2 30 X1, X2 20.

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: A) Solve the following LP problem using Simplex Method B) Specify the special case in this problem…

A: A Simplex method:- Given problem is Max Z=3x1+2x2 Constraints 2x1+x2≤23x1+4x2≥12    , x1 , x2 ≥0…

Q: 1. Use the Simplex method to solve the following problem: Maximise z = 4rı + 6x2 Subject to: -x1 +…

A: Note: Since you have posted multiple questions, according to our policy we are only allowed to solve…

Q: Solve using the simplex method. Maximize P=4x, +2x, +3x, Subject to x +x, + x; <11 2x, +3x, +x, < 20…

A: Given problem is, Maximize  P=4x1+2x2+3x3Subject to x1+x2+x3≤112x1+3x2+x3≤20x1+3x2+2x3≤20x1,x2,x3≥0…

Q: Use Simplex method to solve the following system : Maximize P - 0.5x + 3y + Z Subject to X + y+ Z <…

A: To solve  Max P=-0.5x+3y+zSubject to,x+y+z&lt;402x+y-z&lt;10-y&lt;10 Using simplex method.

Q: 2. Solve the following LP model using the simplex method. Minimize z =- 4x1 + 6x2 – 2x3 +4x4 Subject…

A: The objective is to solve the linear programming model using simplex method. Minimize…

Q: Explain the concept of partial pivoting and use it to solve the equations x1 + x2 + x3= 6; 3x1 +…

A: Partial pivoting : Use of an equation to eliminate a variable from other equation is called pivot…

Q: C = 6x, + 15x2 + 6x3 Solve the linear programming problem to the right by applying the simplex…

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Q: 1. Maximize using the Simplex Method f = 3x + 10y subject to 14x + 7y < 35 5x + 5y < 50

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Q: solve the liner system : 2X + 3Y -Z = 6 2X - Y + 2Z = -8 3X - Y + Z =-7 Using the​ Gauss-Jordan…

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Q: Use the simplex method to solve the problem. P= 2x, - 5x2 X1 + X2 54 5x, +3x2 2 15 Minimize subject…

A: Given function to optimize  Minimize  P=2x1-5x2 Subject to  x1+x2≤45x1+3x2≥15x1,x2≥0 To solve this…

Q: 3. Solve the following LP with simplex method: Minimize z = 3x1 + 2x2 + 3x3 x1 + 4x2 + x3 2 14 2x1 +…

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Q: Solve the following LP model by Simplex Method and find x1, x2 and x3 Max Z= 4x1 + 2x2 +2x3 s.to 3x1…

A: According to the given information, it is required to solve the given LP problem using simplex…

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

A: Primal is   MIN gy =   4 y1 + 20 y2 subject to   2 y1 +   y2 ≥ 13     y1 + 3 y2…

Q: Solve by using the simplex method. Maximize Z = 5x1 +9x2+7r3 subject to Iị + 3r2 + 2rs < 10 3r1 +…

A: we have given the the problem  max Z = 5x1+9x2+7x3subjected to:        x1+3x2+2x3 ≤ 10…

Q: Solve the following problem by the simplex method. Max 100x1 + 120x2 + 85x3 s.t. 3x1 + 1x2 + 6x3 <…

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Q: Solve the following by inspection (using graph), and justify the method of solution in terms of the…

A: A simplex method is an approach to solving linear programming models by hand using slack variables,…

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Q: 6. Solve the problem below using the simplex method. Minimize C = 9x1+ 2x2 subject to 4.x1 + x2 > 13…

A: Since, constraints have greater than equal to sign, so, adding -ive slack variables s1 and s2 in…

Q: Use the simplex method to solve the following linear program: maximize x1 + x2 + 3x3 subject to 1 +…

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Q: 2. Solve the following LP with simplex method: Maximize z = 2x1 + x2 X1 - x2 s 10 2x1 < 40 X1, x2 20

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Q: Solve the following LP problem graphically. Then set up a simplex tableau and solve the pro blem…

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Q: Minimize Z = 3x1 + 2x2 + 4x3, subject to 2x, + x2 + 3x3 = 60 3x1 + 3x2 + 5x3 ² 120 and X1 20, x2 ²…

A: Note: According to Bartleby we have to solve the first question please upload the question…

Q: Use the simplex method. Minimize g = 11x + 9y + 12z subject to z 2 7 y + 2z 2 6 x 2 4. х + у + (х,…

A: To solve the given problem we will use the  big M method ( big M method is the standered form of…

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: Q4: Find 4x al S(2e2x + 2x2+10 b/ S(2e2x – x-2 + –)dx , x #0 2x c/ S 2x³dx d/S Vx5 dx el S- dx, (x +…

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

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Q: MAX Z = 9X, +7 X2 UB TO: 2 X1 + 4X2 <40 X1 +3X2 <30 X1 , X220

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Q: For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic…

A: Given Simplex Tabuleau is, x1 x2 x3 s1 s2 z   6 -2 2 0 1 0 24 3 -4 1 1 0 0 16 7 1 2 0 0 1…

Q: Consider the problem of maximizing the algebraic expression q given by q = V6 – (x + 2)² – y² -…

A: Given that: q=6−x+22−y2 Constraint: x2−y2−4y−8=0

Q: x+3y<= 9

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Q: Q6. Solve the following problem using the simplex method: Maximize z =2x+y Subject to x+y<6 x+2y<8…

A: Given. Z = 2x + Y Constraints are  X + Y&lt;=6 X +2Y &lt;=8 Mathod is simplex mathod

Q: Q2) Solve the following problem using the simplex method: Maximize: z = 4x+3y x +3y s 3 - 2x +y s 5…

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Q: Solve the maximization problem using the simplex method: HHAximixe: : 5 +2r, subject to: 6z +…

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Q: Solve the following linear program using Simplex method. max 40(x1 + x3) +15(x2 + x4) St. 17x1 + 5x2…

A: Given : linear program  max 40x1+x3+15x2+x4s.t.     17x1+5x2≤150     30x3+13x4≤210     x1, x2, x3,…

Q: Solve the following LP with simplex method: Maximize z = 2x1 + x2 X1 - x2s 10 2x1 S 40 X1, X2 2 0

A: For the given LP, Maximize z=2x1+x2, Subject to x1-x2≤10, 2x1≤40, x1, x2≥0, We will use graphical…

Q: Q3) Find the optimal solution by using graphical method: Max Z = x, + 2x2 2x1 + x2 S 100 X1 +x2 < 80…

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

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Q: a) Determine the real root of f(x) = 4x° – 6x²+ 7x -2.3 graphically. b) What will happen if partial…

A: Partial pivoting:  The process of partial pivoting involves the selection of largest absolute value…

Q: Q4. Solve the following problem using the simplex method: Minimize z = x- 4y Subject to 2x - 3y <6 x…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity, use variables  the given…

Q: Maximize the value of z = 4x₁ + 6x2, where x₁ and x₂ ≥ 0, subject to the following constraints. -x₁…

A: Given: The LP problem, Maximize, z=4x1+6x2Subject to -x1+x2≤11                       x1+x2≤27…

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

A: Step:-1 Given primal problem is Minimize   C=6y1 +8y2 +12y3subject…

Q: Find the optimal solution by simplex method 3 Max Z = x, – 150x, + 4 1 ち- 6x。 50 6X4 s/t 25x, -…

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Q: Solving the following problem by the simplex method,…

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Q: Solve the following LPP problems using Simplex Method: 4. Max Z = X1 - 3 X2 + 2x3 Subject to 3x1 -…

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Q: ind the optimal Solution by - Simplex method (BigM met IAX Z 11xl 10x2 + 4x3 ubject to xl + 5x2 +…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Use the simplex method to solve the following. z = 4x1 + 4x2 - 8x3 10x3 s 95 12x3 s 128 X1 20, x2 2…

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Q: Write the dual maximization problem to solve the minimization problem using the Simplex Method, Show…

A: Here, in primal the given objective function is maximum then in dual the objective function is…

Q: Give the conditions for Simplex method to be applied, then find the optimal solution of the…

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