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: 2. Solve the following equation using LU factorization with partial pivoting. + x + 2x, + 2x, = 6 +…

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Q: Use simplex method in finding your solution Minimize 3X1 + 5X2 + 5X3 + 4X4 Subject 8X1 + 2X4 s 100…

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Q: Solve the following LP using the simplex method. Maximize z = 4x1+3x2+6x3 subject to 3x1+x2+3x3 0

A: Given that Maximize z=4x1+3x2+6x3 subject to 3x1+x2+3x3≤302x1+2x2+3x3≤40             x1,x2,x3≥0

Q: 1. (a) (b) iteration no. = iteration no. =

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Q: list the elements of the subgroup generated by the subset {18, 24, 39} of Z

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Q: Minimize bject to =₁+4x₂+2x328 ₁ + 2x₂ 26 Z=2x₁ + 3x2 + x3, nd 20, x₂20, x₂ 20. introduce artificial…

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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: Use the simplex method to solve. The maximum is z = (Simplify your answers.) Maximize subject to:…

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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: Assignment 2: Solve by Naive Gauss Elimination. Show all steps of the computation. 1.) 10x₁ + 2x₂…

A: Since you have posted a multiple question according to guidelines I will solve first(Q1) question…

Q: B. Convert primal problem to dual problem: Minimize Z = 4x₁ + 2x₂-x3 Subject to: x₁ + x₂ + 2x32 3…

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Q: Assignment 2: Solve by Naive Gauss Elimination. Show all steps of the computation. 1.) 10x₁ +…

A: Since you have posted a multiple question according to guidelines I will solve first(Q1) question…

Q: Solve by applying the simplex method to the dual problem. C=25x₁20x₂ + 25x3 +30x4 X₁ + X₂ 513 X3 X4…

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Q: Maximize z = 0.3x, + 0.5x, + 1.2x3 Subject to constraint 12x, + 23x, + 12x, s 70 13x, – 52x, + 34x,…

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Q: max    2x1 + 2x2 s.t.   3x1 + 2x2 ≤ 36        3x1 + 4x2 ≤ 48         x1, x2 ≥ 0 Solve the LP…

A: The given problem is  MAX    2x2 + 2x2subject to         3x1 + 2x2 ≤ 36         3x1 + 4x2 ≤ 48 and…

Q: 28) 16p

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Q: Use the simplex method to solve. The maximum is z = (Simplify your answers.) Maximize subject to:…

A: Objective Function: Maximize: Z = 3X1 + 2X2 + 2X3 Subject to: X1 + X2 + 2X3 ≤ 33 2X1 + X2 + X3 ≥ 22…

Q: Use the simplex method to solve.

A: Given,        Max.(z)=12x1+10x2sub. to         x1+4x2≥30          x1+x2≤49and x1, x2≥0

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: 7. Find and correct the error. State your exact solutions and verify them. 4x² 48x + 11 = 0 4 (x²…

A: To verify that x=a will be solution,  we have to put x=a in Given equation and then check if it…

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: Solve using gauss Jordan elimination  4x¹+9x²-22x³=14 2x¹+x²-4x³=0 x¹+x²-3x³=1

A: The objective of the question is to solve the system of linear equations using the Gauss Jordan…

Q: Minimize subject to C=14x₁ 3x₁ + x₂ 24 - 6x1-2x₂ 26 X1, X₂20 + 18x2 a. Form the dual problem.…

A: We are given a primal linear programming problem for which we need to find the dual problem

Q: B. Convert primal problem to dual problem: Minimize Z = 4x₁ + 2x₂-x3 Subject to: x₁ + x₂ + 2x3 ≥ 3…

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Q: . Pivot as indicated in the simplex tableau X1 X2 X3 X4 X5 0 | 56 1 40 -1 -3 -2 0 0 1 2 4 1 2 2 1

A: Introduction: The pivot or pivot element is a matrix or array element that is chosen first by an…

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

A: Given,      Minimise C=2x+8ysubject to                 x+2y≥4              3x+2y≥6 and      x, y ≥0

Q: 34. Factor xy² + y - x² as completely as possible. + y + 1) + y + 1) a. (x²-y)(x² b. (x²+y)(x² c.…

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Q: Can you use row (reduced)echelon form. Second, if there are infinitely many solutions to this…

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Q: OPERRATION RESEARCH (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. NO LONG…

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Q: 5. Solve by elimination. x-2y = 2 3x+y=6

A: 5)a) x-2y=23x+y=6b) x+y=2-x+2y=10

Q: a) Solve the following LP using Simplex Method. Max z = 1500x₁ + 2000x₂ + 2400x3 Subject to 3x₁ + x₂…

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Q: Solve using Gauss-Jordan Elimination method. (calculators allowed) 3x1+2x1=4 4x1-2x2+x3=14…

A: The system of equations is  3x1+2x2=44x1-2x2+x3=14x2-4x3=-17

Q: Solve the optimization problem. Minimize F = 37x² + 37y2 with xy² = 16. F =

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Q: Use the simplex method to solve. The maximum is z= when X₁ = (Simplify your answers.) Maximize…

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Q: Solve by Simplex Method Subject to Max Z = 2x₁ + x₂ 3x₁ + x₂ ≤ 3 x₁ + 3x₂ ≤ 3 X1, X₂ 20

A: Given  Max Z=2x1+x2Subject to 3x1+x2≤3x1+3x2≤3x1,x2≥0

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

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Q: Part A: Make a change of variable, x = Py. Give P and the new quadratic form. 2 2 Q(x) = 4x + 7x2 +…

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Q: 3. Write the dual for each of the following primal problems: (a) Maximize z = -5x₁ + 2x₂ subject to…

A: (a) Primal:Maximize  z=−5x1+2x2Subject to  −x1+x2≤−2  2x1+3x2≤5           x1,x2≥0Here primal have…

Q: Solve the following system of linear equations using Gauss-Jordan elimination. No other method will…

A: given system of linear equations is x+3y=-192x+3y=-17-x-y=5 we have to solve this using Gauss-Jordan…

Q: Write the dual to the following problem. Maximize z = 2x1+ x2 + 3x3+ x4 subject to X1+ x2 + X3 + X4…

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Q: Solve by HEURISTIC METHOD. Maximize Z MAXIMIZAR Z=X1+ 5X2 +7X3+ 3X4 Sa. 7X1 + 3X2 + 2X3 +4X4 <21 8X1…

A: We have linear programming problem with us. Maximize Z=X1+5X2+7X3+3X4subject to, 7X1+3X2+2X3+4X4≤21…