10) Solve this linear problem using the Big M method. Min z = x1 - 2x2 + x3 Subject to: xl + x2 -x3 >= 4 x1 - 4x2 + x3 <= 2 х1,x2,х3 >— 0

Q: Solve the given linear programming problem. Minimize z 6x +dy subject to x 2 0, y 2 0, x + y 2 4, x=…

A: The given subject to constraints:-  x≥0,y≥0, x+y≥4, x≤8,y≤10. Maximizing z=6x+4y

Q: 5 Solve the following system of equations using Cramer's rule -3x+2y-6z 6 5x + 7y - Sz = 6 x+ 4y -…

A:

Q: Solve the following system 2x₁6x₂x3 = -38 -3x₁ - x₂ + 7x3 = 34 -8x1 + x₂ - 2x3 = 20 using the Jacobi…

A: Given system is 2x1-6x2-x3=-38-3x1-x2+7x3=34-8x1+x2-2x3=20 We can write it as x1=-1820-x2+2x3…

Q: 7) Show that if ties are broken in favor of lower-numbered rows, then cycling occurs when the…

A: In this question, concept of Simplex Method is applied. Simplex method:The simplex approach is a…

Q: Solve the following system of equetions using Geuss Jorden Eliminetion method. x- 4y - 2z - v - 2w +…

A: Given that x-4y-2z-v-2w+2u-5k+5t =10x-3y+2z-v+4w                          =33x+5y      -v…

Q: Solve the problem using simplex algorithm Max Z= 6X+6Y S.T X+3Y≤2 2X+2Y≤5 X,Y≥0

A: The given linear programming problem is                                  Maximize Z=6x+6y…

Q: Show that this model has an unbounded solution by Big M Method.  Max Z= 3x1 + 6x2      s.to 3x1 +…

A: Consider the provided question,

Q: 1. Determine the optimum solution by applying simplex method and graphical method showing the…

A:

Q: The critical points for this optimization problem will thus come from solutions to the following…

A: The critical points for the optimization problem will thus come from solutions to the following…

Q: Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject to…

A: GIVEN Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject…

Q: Suppose a problem is in canonical form and the associated basic feasible solution is degenerate, and…

A: Consider the provided question, We have to describe a new basic feasible solution. In a system,…

Q: Draw the block diagram of Gauss-Seidel Method with E< 0.0001 to solve 3x, - 0. 1x2 - 0.2x3 7.85 %3D…

A: x1 = (7.85 + 0.1 x2 +0.2 x3)3 x2 =(-19.3 + 0.3 x3 -0.1 x1)7 x3 =(71.4 - 0.3 x1 +0.2 x2)10

Q: 1. Solve using the simplex method: Min z =- 4x1 + 6x2 – 2x3 + 4x4 X1 + 2x2 + 2X3 +4x4 < 40 2x1 – x2…

A:

Q: 1) Solve the given linear equation system by using Gauss- Jordon Elimination Technique.(Do not use…

A:

Q: If least-square line for X and Y is given as y= 0.17x-5.4, estimate the Y value when X=0.7. Select…

A: Given regression equation isY=0.17x-5.4If x=0.7 theny=?

Q: The linear system o equation of 4. 3. X3 2. has an exact solution À= (,21-) Find the optimal choice…

A: Given system of equation is 210110002x1x2x3=43-2  First, let us calculate an optimal choice of ω The…

Q: Solve by the Big M – method: Maximize Ζ = x1 + 2x2 + 3x3 − x4 Subject to x1 + 2x2 + 3x3 = 15 2x1 +…

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Q: Consider the LP model below: Max z = x1 + X2 S.t. 4x, + х, < 100 X1 + x2 < 80 X1 < 40 X1, X2 2 0…

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Q: By using Gauss-Jordan method, the solution of set following above equations will be 2x1 – 4x2 + 6x3…

A:

Q: Use (1) in Section 8.4 X = eAtc (1) to find the general solution of the given system. 1 0 X' = X(t)…

A:

Q: Consider the following LP: max z = 21 – 4x2 s.t. x1 - x2 0. (a) Write down the dual of this LP.…

A: given  Solve Dual problem by Big M method...  .

Q: 6. Solve the following system of equations 10x1 – 2x2 – x3 – X4 = 3 -2x1 + 10x2 – x3 – X4 = 15 -X1 –…

A: Given - The system of equations are - 10x1 - 2x2 - x3 - x4 = 3-2x1 + 10x2 - x3 - x4 = 15-x1 - x2 +…

Q: Find the optimal Solution by 2. Two-Phase method MAX Z = 5x1 + 9x2 - 18x3 subject to 5x1 + 16x2 +…

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Q: Suppose following simplex table:     2 3 1 -1 0 0 -100         x1 x2 x3 x4 x5 x6 x7…

A: To complete the given simplex table, compute the values of Z-C and Z.     2 3 1 -1 0 0…

Q: b. Max z= xi+ x2 Sut. 2x1 + x2 0

A: Answer

Q: b. Solve min x, -x, - 2x, problem by means of Lagrange multipliers under the constraints of x, +x,…

A: Part b:

Q: 1. Use Gauss-Seidel method to solve the following linear system 10x₁3x₂ + 6x3 = 24 x₁ + 8x₂ - 2x3 =…

A:

Q: Consider the following linear program : z = 6x1 + 6x2 + 10x3 → min s.t. 4x1 + 3x2 + 2x3 ≥ 16 x1 +…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: Choose one direct method to solve for the unknown variables of linear equations: (Cramer’s Rule,…

A: The given system can be written as,111122123x1x2x3=568. Obtain the value of ∆.…

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

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Q: 2.1. Use the steepest-descent method to solve minimize f(x1, x2) = 4x + 2x + 4x1x2 – 3x1, %3D…

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Q: Solve the following lineer equation system by using Gauss-Sidel method. Iterate twice by taking…

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Q: LPP by the graphical method. minimize 20x1+10x2 subject to x1 + 2x2 ≤40, 3x1 + x2 ≥30, 4x1 + 3x2…

A:

Q: Use the Big M method to solve 1 /min z = 4x1 + 4x2 + x3 X, + x2 + x3<2 2x1 + x2 s.t. < 3 2x, + x2 +…

A: Simplex method: The simplex approach is a method for systematically evaluating vertices as potential…

Q: 3.х + у +z-5 2х + Зу + 5z %3 8 4х + 5z %3D 2

A:

Q: Show that there are infinitely many solutions to 4x1 - x2+ 2x3 + 3x4 = 20 %3| Ox2 + 7x3 +0x4 = -7…

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Q: 2- Use Gauss Elimination method to solve the following system: 3x1 + 2x2 - x3 = 4 4x1 + 5x2 + X3 = 2…

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Q: GIVEN: [X1] X2 0 1 - -2 -3 2 X3 -3 3 2 X4. Determine the least-norm solution. Please show a complete…

A: Consider the given information. 201-1-2-320-3302x1x2x3x4=-102 The given form is Ax=b. Where,…

Q: ▪ Solve the following SLEs in a clean sheet of paper (preferably bond paper). ▪ Show a complete,…

A: Solution

Q: Use (1) in Section 8.4 X = eAtC (1) to find the general solution of the given system. 1 0 X' = X(t)…

A:

Q: 9.13 Solve: X1 + x2 - x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + X3 = 1 with (a) naive Gauss…

A:

Q: Use the two phase method to find solutions. minimize aX1 + bX2 subject to X1+ 3X2 =3 X1,X2 > 0

A: The given problem is : Minimize z=ax1+bx2 subject to x1+3x2=3                  x1,x2≥0 Converting…

Q: /Use the Gaussian elimination method to solve 4x1 +x2 - x3 = -2 5x1 + x2 + 2x3 = 4 6x1 + x2 + x3 = 6…

A:

Q: 2- Use Gauss Elimination method to solve the following system: 4x1 + 5x2 + x3 = 2 3x1+2x2x3 = 4 i-…

A: answer is in next step

Q: 2- Use Gauss Elimination method to solve the following system: 3x1 + 2x2 - x3 = 4 4x1 + 5x2 + x3 = 2…

A: In gauss elimination method we will make upper triangular matrix of augmented matrix. Then we will…

Q: b- Solve with naive Gauss elimination X + 2x2 - x3 = 2 5x1 + 2x2 + 2x3 = 9 %3D - 3x, + 5x2 - x3 = 1

A:

Q: 22. Solve the following problem for the optimal solution using simplex: minimize 20.x, + 10x2 +…

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Q: Create a 2nd order, homogeneous, linear IVP, that is not guaranteed to have a unique solution at…

A: Let's a take a 2nd order, homogeneous, linear IVP. For second order differential has a unique…