Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize  C = 10x + y subject to  4x  +  y   ≥   23 x  +  2y   ≥   19     x   ≥   2 x ≥ 0, y ≥ 0

Q: Use the Gauss-Seidel method to obtain the solution. 3x1 – 0.1x2 – 0.2x3 = 7.85 0.1x1 + 7x2 – 0.3x3…

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Q: 4. Use Gauss-Jordan elimination to solve: 2X₁ + X₂ X3 = 1 5X₁ + 2X₂ + 2X3 = -4 3X₁ + X₂ + X3 = 5…

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Q: Solve using Cholesky's Method X1 + X2 + X3 = 5 X1 + 2X2 +2X3= 6 X1 + 2X2 + 3X3 = 8

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Q: Solve using artificial variables. Maximize z = 3x, + 2x2 subject to: X, + X, = 60 4x1 +2x, 2 140 5x,…

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Q: Solve by Gauss-elimination: 3x+4y+5z =18, 2x- y+8z =13, 5x-2y +7z =20

A: 3x + 4y + 5z = 18 — (i)2x - y + 8z = 13 —ii5x - 2y + 72 = 20 —iii3x + 4y + 5z = 18 — (i)2x - y + 8z…

Q: One ounce of solution X contains only ingredients a and b in a ratio of 2:3. One ounce of solution Y…

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

A: Given: 102-1-3-62111x1x2x3=4125105 To find the solution using Gauss -seidel method.

Q: Solve using Gauss Jordan method. 2x-y+3z=24 2y-z=4 7x-5y=6

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Q: The most important aspect of linear homogeneous joining solutions is that the sum of the solutions…

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Q: The primal problem and the final tableau in the solution of the primal problem are given. Use the…

A: First convert the primal to its dual problem. The last row if the simplex table indicate the…

Q: Find all real solutions. (Enter your answers as comma-separated lists. If there is no real solution,…

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: find the general solution of the given system of equations.8.x′=⎛⎜⎝324202423⎞⎟⎠x

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Q: minimize f1(x) = 5x1 – x2, f2(x) = x1 + 4.x2]| subject to -51+ 2x2 3 Xi + 2x2 > 4 X1, X2 > 0…

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

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Q: Solution by Gauss seidel method. - 9х1 + 2х2 + Зx; 3D 7 X1 + 12x2 + 9x3 = 2 4x1 + 6х2 + 14х; 3D 1

A: Let x1 = a, x2 = b and x3 = c So Given equations are9a + 2b + 3c = 7a + 12b + 9c = 24a + 6b + 14c =…

Q: 30. Discuss the behavior of the solution of x" – x + 3x² = 0, x(0) = 0, x'(0) = 1. %3D %3D

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Q: ) Solve using method of separation of variables the equation. 2x(δz/δx) - 3y(δz/δy) = 0

A: Note;- As per guidelines, we'll allow to answer only first question. Thank you

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: Solve these linear equations by Gaussian Elimination. 2w + x – y + 2z = 5 4w + 5x Зу + 62 - -2w + 5x…

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

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

Q: Use Naive Gauss Elimination to solve the following equation system and substitute your results into…

A: Given system of equations is 8x1+2x2-2x3=-210x1+2x2+4x3=412x1+2x2+2x3=6                       (i) To…

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

A: In linear programing, any given linear programing problem called primal can be associated with…

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

A: Given:-           Construct the dual problem associated with the primal problem. Solve the primal…

Q: Solve using Cholesky's Method   X1 + X2 + X3 = 5 X1 + 2X2 +2X3 = 6 X1 + 2X2 + 3X3 = 8

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

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Q: Find the general solution of x^2 y′′ − x y′ − y = 0

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

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Q: use the separation of variables method to solve 4uxx = utt, 00, ux(0,t)=ux(2,t)=0,…

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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: 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: The primal problem and the final tableau in the solution of the primal problem are given. Use the…

A: The following steps are used to convert the primal problem as the dual problem. Write the given…

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: x' - (; )*+()- 1 3 X + \3, %3D 1 1

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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 Any method to solve the given system: x" + y' – x+ y = -1 Q.5 x'+ y'-x =t?

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Q: Duse cholesky method to solve the followi ng linearsystem of equationss 4x,+X2+ s x3=5 X」+ YXL +子メ3-…

A: Given

Q: c. Find the initial feasible solution using. VAM method. TO From B D Supply 3. 4 300 II 9. 400 III…

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Q: Formulate the Dual of the Primal and solve both using either graphical method or simplex method (get…

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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: how many interger solution are there to the equation x + y + z = 10 for which  a. a, y, and z are…

A: Image is attached with detailed explanation.

Q: a) Solve by using Gauss-Jordan method. 2X1 – X2 + 2X3 = 6 X1 – 2X2 + X3 = 0 3X1 – 2X2 + 2X3 = 7

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

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Q: 2.SOLVE BY GAUSS ELIMINATION METHOD 2X - Y+3Z = -3 3X +3Y Z 10 X-Y + Z = -4

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