Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize  C = 200x + 150y + 120z   subject to  30x  +  15y  +  z  ≥  15   x  +  y  +  2z  ≥  30   x  ≥  0, y  ≥  0, z  ≥  0

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

A:

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

A:

Q: Consider the primal problem Max. z = c'x, s. t. Ax <b, x 20. If the dual problem has a feasible…

A:

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: A feasible solution requires that all artificial variables are

A: A feasible solution requires that all artificial variables are

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 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: 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: Solve by using the simplex method: Maximize: Z = 8х + 3x2 + хз subject to: X1 + 6х2 + 8хз 0, x3 > 0…

A:

Q: 1.) Solve using Gauss-Jordan Elimination. -3x + 2y- 6z = 6 5x+ 7y-5z = 6 x + 4y - 2z= 8

A:

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

A:

Q: Consider the system 1. Use any direct method you know to solve for x,y and z. 3x + 7y + 13z = 76 x +…

A: given system 3x+7y+13z=76x+5y+3z=2812x+3y-5z=1 or 3713153123-5xyz=76281 According to the guidelines…

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

A:

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

A:

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

A:

Q: Find the general solution to the system X' = AX, where A = 2

A: first find the Eigen value of the given matrix A=21502 the characteristic polynomial is…

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,Graph the Inequalities, and shade the feasible region 1. 3x-4y<12     5x+3y≤15

A: Given inequalities are: 3x-4y&lt;12 5x+3y≤15 Graph of inequalities 3x-4y&lt;12 is:

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

A:

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

A:

Q: WRITE A DUAL PROBLEM OF THE FOLLOWING, AND FIND OPTIMAL SOLUTIONS TO BOTH PROBLEMS. 2x1 + 2r2 + 6x3…

A:

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

A: Given LPP is  Minimize z=22x1+44x2+33x3Subject tox1+2x2+x3≥3x1+x3≥33x1+2x2+2x3≥8x1,x2,x3≥0 In order…

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 Gauss Jordan Elimination: 2x + 4y +10z = 2 3x + 9y +21z = 0  x+5y+12z =−1

A:

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: Construct the dual problem. Minimize  z = – 5x1 – 15x2

A:

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

A:

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

A:

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

A:

Q: 9. Use the method of undetermined coefficients to solve the given system 4t +9er X' = -4 X + %3D

A: Given equation is, X'=1-441X+4t+9e6t-t+e6t The given equation is in the form of , x'=Ax+f(t)Where…

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…

A:

Q: 2. Solve the initial integer solution of the given integer problem. Use the graphical method.…

A:

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

A:

Q: minimize c= -x+2y subject to y or equal to 4 x> or equal to 6 x+ y < or equal to 16

A:

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. Use Big M method to solve the example. Minimize 2 = 2x1 + 3x2 Subject to 2x1 +x224 -xl + x2 s1…

A: The objective is to solve the linear programming problem Minimize Z=2x1+3x2 Subject to…

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: 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…

A:

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

A:

Q: Write a dual problem of the following primal problem, and find optimal solution to the dual problem…

A: Primal problem is converted to dual problem  If Objective function of primal problem is maximum…

Q: Multiple choice: If you were to minimize: 40x + 25y, subject to: 2x + 3y >= 6; x + 5y = 0, the…

A:

Q: Use simplex method to solve the following system Махітize P %3D 0.5х + Зу + z Subject to x + y +z <…

A:

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

A: