Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize  C = 30x + 12y + 20z   subject to  2x  +  4y  +  3z  ≥  6   6x      +  z  ≥  2       6y  +  2z  ≥  4   x  ≥  0, y  ≥  0, z  ≥  0

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: 3. Find all solutions of the system: X1 + бх2 + 2хз — 5х4 — 2х5 — —4 2xз — 8х4 — хs 3 3 X5 = 7

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Q: You are given the final simplex tableau for the dual problem. Give the solution to the primal…

A: I don't have about associated dual problem. so, let's solve primal problem,

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: 9.9 Use Gauss elimination to solve: 8x, + 2x2 – 2x3 = -2 10x, + 2x2 + 4x3 = 4 12x) + 2x2 + 2x3 = 6…

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Q: max   –x1 – 2x2 s.t.   x1 –  x2 ≤ 6        x1 + 2x2 ≥ 4        x1, x2 ≥ 0 For the LP problem…

A: The given LPP is as follows  max -x1-2x2 subject to  x1-x2≤6x1+2x2≥4x1,x2≥0 to solve the LPP using…

Q: 1. Solve by Gauss elimination 3x-y+z=-2 X+5y+2z=6 2x+3y+z=0

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Q: Use GAUSS ELIMINATION METHOD WITH 2x -y -67 = -2 %3D X - Sy -7 =-8 4 x ty-Z = 13 To SOLVE PA RTIAL…

A: The given system of equations                                2x-y-6z=-2…

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: 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: 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: Solve the Cauchy problem y'

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Q: 1. Use the Guess elimination method to solve the following system of equations by hand and show the…

A: Use the Gauss elimination method to solve the given system

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 = 8х + 3x2 + хз subject to: X1 + 6х2 + 8хз 0, x3 > 0…

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Q: 4. Solve the following system of equations using Gauss-Jordan method. 4x1 + x2 + 2x3 = 21 2x1 – 2x2…

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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 given problem using the simplex method. Minimize: C = 5x +6y Subject to: x + y = 1000 x =…

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Q: 7. Solve for x, y and z using Gauss-Jordan Elimination 2w + x – 3y – 3z = 4 x + 2y +z = -3 2w – x +…

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Q: Use the left-to-right elimination method to solve the system.     x  −  2y  −  z  =  0 x  −  3y  +…

A: Consider the given equations.

Q: Minimize Z = 0.2x, + 0.1x, + 0.3x, Subject to constraint 0. 5x, + 0.2x, + 0.7x, = 0.420 0. 3x, +…

A: 1) The problem is converted to canonical form by adding slack, surplus, and artificial variables as…

Q: (i) Use x.and x.as the initial basic variables and apply simplex method to solve: Маximize: z - бх.…

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Q: By method of separation of variables the solution of =16 reduces to ne ду ax2 ( x" 2y' x" (b) 16X…

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Q: x – 2y + z= 8 2y - 7z = 0 -4x + 3y + 9z = -6

A: See solution below

Q: Solve the following problems as a primal using simplex method and then after finding its dual.…

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

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Q: Use the Gaussian Elimination method to solve: 1x + 2y + 3z = 14 2x + 1y + 3z = 13 2x + 3y + 1z = 11…

A: Given system of linear equation, 1x+2y+3z=142x+1y+3z=132x+3y+1z=11

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: Apply Gauss Elimination method to solve the following equations. X + 4y – z = -5 X +y - 6z = -12 Зх…

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Q: Find the solution using Gaussian elimination: 7x + 5y − 3z = 16 3x − 5y + 2z = −8 5x + 3y − 7z = 0

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Q: solve with simplex and do at least two step minimize f=5x1+4x2-x3 subject to; x1+2x2-x3>=1,…

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Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize  C…

A: The given primal problem is  Minimize C = 200x + 150y +120z Subject to                  30x + 15y +…

Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize C=…

A: Given problem is Minimize     C =58x +48y +11zsubject to,                      2x+y+z  ≥ 8…

Q: 4. Solve the following system of equations using Gauss-Jordan method. 4x1 + X2 + 2хз — 21 2х1 — 2х2…

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Q: Use the Gauss-Seidel method to solve the following system. Compute the errors. [10 2 -1] [X1 41 X2 =…

A: We can solve this using Gauss-Seidel method Given: 102-1-3-62111x1x2x3=4125105 To find x1, x2, x3…

Q: (b) Consider the problem Maximize Z= +2x, 3x +4x3 Subject to 2r +3.x +5x) 2 2 3x + +x: 7x 5 3 + 4x…

A: Given LPP is Maximize Z=2x1+3x2+4x3Subject to2x1+3x2+5x3≥23x1+x2+7x3≤3x1+4x2+6x3≤5x1,x2≥0, x3…

Q: Solve the minimization problem min 2x7 + 3x + 4.x% + 2x1x2 – 2x1r3 – 8x1 – 4x2 – 2x3 - | | s.t. *1,…

A: This is a problem of optimization.

Q: 7. Use the Gauss-Jordan Elimination Method to solve the equations below 3x + 4z = 5 x + 5y + 2z - 5…

A: Given equations are3x + 4z = 5       →(1)x + 5y + 2z = 5 →(2)7x + 2y + z = 2 →(3)

Q: b- Solve with naive Gauss elimination X1 + 2x2 - x3 = 2 5.x, + 2x2 + 2x3 = 9 - 3x1 + 5x2 – x3 = 1

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Q: The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model…

A: Let the number of the Deluxe and Economy wood chippers be x and y.

Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize…

A: In the above question, the primal problem is given we have to construct a dual problem from it we…

Q: Use the KKT conditions to solve the following problem:      Min Z(X1 , X2) = 4(X1 -2)2 + 3(X2 – 4)3…

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

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

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

A: In order to apply the dual simplex method, we convert Min Z to Max Z and all ≥ constraint to ≤…

Q: Solve using Gauss Jordan Elimination: 3x+6y+12z = -9 4x +7y+13z =-10 %3D 2x+6y+15z = -12 %3D

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Q: 1. Solve by using Gauss-Jordan Elimination. CALCULATOR IS NOT ALLOWED. (2x +y+2z = 10 x + 2y + z = 8…

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Q: Use the method of variation of parameters to solve the system 1 -31 X' = 4 -4 3 et 21

A: given X'=11-3-4-43210X+etetet where  A=11-3-4-43210

Q: Find solution using graphical method and then solve it by using LINGO Maximize Z = 15x1 + 10x2…

A: Given LPP problem is  Maximize Z=15x1+10x2 Subject to  4x1+6x2≤3603x1≤1805x2≤200x1,x2≥0 To solve the…

Q: b- Solve with naive Gauss elimination X + 2 - A - 2 5x, + 2x, + 2x, -9 -3 r, + Sx, - 15 - 1

A: The given set of equations: x1+2x2-x3=25x1+2x2+2x3=9-3x1+5x2-x3=1 The matrix notation will be,…

Q: and the general solution of the following equations: f y'+(4/x)y=x* ---by linear method

A: Topic: application of integration and differential equations

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

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