Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize C = 28x + 16y + 4z subject to 7x + 8y + z ≥ 16 x + 2y - ≥ 4 x + y + x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C. = 2z 2 2z 2z ≥ 2 = ( at (x, y, z) =

Q: subject 12x+4y 2 72 to the constraint 6x+12y 2 96 x20 y 20

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Q: Solve using the simplex method. Find x, 20 and x, 2 0 such that X1 + 2x2 2 24 X1 + X2 5 40 and z =…

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

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

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Q: Solve the standard minimization problem using duality. (You may already have seen some of them in…

A: Given standard minimization problem is Minimize c=s+t+usubject to3s+2t+u≥362s+t+3u≥36s+3t+2u≥36s≥0,…

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A: To solve the given problem we will use the  big M method ( big M method is the standered form of…

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Q: Use the simplex method to maximize the following: Maximize f 3x1 + 9x2 subject to 4x1 + x₂ < 5 2x1 +…

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Q: Minimize g - 20x + 30y +36z subject to: x+2y +3z  ≥ 48 2x + 2y +3z  ≥ 70 2x +3y +4z  ≥ 96

A: The given problem is: Minimize g - 20x + 30y +36z subject to: x+2y +3z  ≥ 48 2x + 2y +3z  ≥ 70 2x…

Q: 3,3 Solve by greaphing A. Minimize C=10 x +15y X +y <10 3x +y Zld s,t. +3y x20, y 20 -2x Z3

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Q: Use the two-stage method to solve. Find x, 20 and x, 20 such that X1 + 2x2 s 22 X1 + 3x2 2 10 2x1 +…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

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Q: Consider the quadratic form f(x1, x2, x3) = x+x + 6x+ 18x1x2. %3D 1 is (i) The maximum value of f(x)…

A: The solution are next step

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Q: Solve the problem maxx + 4y + z subject to x² + y² + z² = 216 and x + 2y + 3z = 0

A: Dur to insufficient information of part (b) ,we will provide the solution only part(a) .