Maximize : 3x1 + x2 - X3 s.t. 2x1 + x2 + x3 < 8 4x, +x2 - x3 S 10 X1, X2, X: X2 X3 S2 rhs 1/2 2 1 1 1/2 9. 1 3 -1 1 -1 - 2 1/2 1 Find the dual of this LP. (b) (c) value=10) for which the current basis remains optimal. If b;= 12, what is the new optimal solution? Find the optimal solution of the variables of the dual in part (a). Find the range of values of b2 (right hand side of the 2nd constraint, current

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Q: c) Maximize Z = 3x1+ 4x2+ 2x3 subject to: X1+ 2x2 + 0x3 s 10 2x1 + 2x2 + x3< 10 X1, X2, X3 20 d)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A: Method of Lagrange Multipliers:

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A: Hi, Since the method of solving the given problem is not mentioned, herewith, I solve the given…

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Q: Q 6/Find the optimal solution for the following (LP) model by using Algebraic and graphic method…

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A: Draw the given constraints to find the feasible area.

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A: We have to Solve given LPP by Simplex Method.

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Q: Use the simplex method to maximize the following: Maximize f=6x1+4x2+10x3f=6x1+4x2+10x3 subject to…

A: We need to use simplex method.

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Q: Maximize P = 5x + 3y subject to 4x + 2y ≤ 20 3x + 3y ≤ 21 x ≥ 0, y ≥ 0

A: Please see the below explanation:

Q: Minimize ƒ(x, y, z) = xy + yz subject x2 + y2 - 2 = 0 and x2 + z2 - 2 = 0.

A: We will make use of the method of Lagrange Multiplier. Please see the primer below:

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Q: (a) Starting from the initial trial solution (x1, x2) = (0, 0), apply the gradient search procedure…

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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: Max Z=5X1+2X2 S.T. 2X1+5X2 <10 4X1 - X2 s 12 X1+X2 < 4 X1,X2 2 0 Optimal solution is X1=3, X23D0 Z=…

A: We will solve yhis problem by using graphical method. First draw the given regions in the graph.…

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Q: maximize z=8.50x1+12.10x2 subject to 2x1+3x2 <  24,000 x1 < 6,600 x2 < 5,500 x1+x2 < 10,000

A: topic- linear programming

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A: Since you have asked multiple questions, we have answered the first two questions. If you want the…

Q: Minimize ƒ(x, y, z) = xyz subject to the constraints x2 + y2 - 1 = 0 and x - z = 0

A: y = √(1 - x2); z = x Hence we have to minimize, f = x2√(1 - x2)

Q: Solve the following problem by using M-Technique Method. Maximize:- z= x₁ + 2x₂ + x₃ s.t x₁ + x₂ +…

A: Given,Max Z = x1 + 2x2 + x3subject tox1 + x2 + x3 = 72 x1 - 5 x2 + x3 ≥ 10and x1 ,x2 ,x3≥0

Q: 2) Use Lagrange multipliers to find all extreme values of f (x, y,z)= 2x+2y+z subject to x + y² +z²…

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Q: Solve the optimization problem. Maximize P = xyz with x +z = 18 and y +z = 18, and x, y, and z 2 0.…

A: NOTE: Refresh your page if you can't see any equations. . the first constraint is  . the second…

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Q: D. Maximize z = 10x + 12y subject to: 3x +y < 15, x+ 2y 18, x 2 0, y20 Graph and shade the feasible…

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A: max . fx,y=xyS.t 6x+y = 18     6x+y=18⇒ 6x+y-18=0∴ gx,y=6x+y-18=0    Fx,y,L=fx,y-L g x,y⇒…

Q: Maximize f 3x +y+ 5z 0, y 2 0, z >0 6x +7y + 8z subject to If no solutions exist enter DNE in all…

A: Maximize f=6x+7y+8z subject to 3x+y+5z≤205x+4y+3z≤182x+5y+4z≤24x≥0, y≥0, z≥0

Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the…

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Q: Use the two phase method to find solutions. minimize aX1 + bX2 subject to X1+ 3X2 =3 X1,X2 > 0

A: The given problem is : Minimize z=ax1+bx2 subject to x1+3x2=3                  x1,x2≥0 Converting…

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A: Given that min x-y+zs.t    x-y≥2       x-2y≤1       y+z≤1x,y≥0 and z isunrestricted

Q: Q#2: Maximize U=w°+z0.6 subject to 2w+4z=100 and find optimal value of x and z. Also, verify that…

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Q: Minimize c = 8x + y subject to 10x + 20y ≥ 100 0.8x + 0.1y ≥ 2 x ≥ 0, y ≥ 0

A: minimize c=8x+ysbuject to constraint10x+20y≥1000.8x+0.1y≥2x≥0, y≥0

Q: 2/2 -irT b1 (r)e¬3iwT/2 + Ve-irT 2(r)e-biwT/2 V(x,T) = -irT %3D e 드n(x)e-(r+ ¥)T + 2/2 2(x)e-(r+)7…

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Q: Minimize Z=8x+12y subject to 4x+6y214, 4x+5y9, x>0, y20 M=?

A: Given LPP is Minimize  Z = 8x + 12y Subject to  4x + 6y ≥ 14, 4x + 5y ≥ 9, x ≥ 0, y ≥ 0

Q: Maximize P = xyz with x +y = 12 and z+y = 12, and x¸ y, and z >0.

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Q: from the initial solution (x1, X2)= (0,0) perform 2 interactive iterations of the gradient search…

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Q: 8 Graphically find all optimal solutions to the follow- ing LP: min z = x1 – x2 s.t. X1 + x2 < 6 X1…

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Q: Ay 10어 6- (3, 5) 4- (어4) (7, 3) 2- (4, 1) 0어 4 6. 8. 10 N.

A: Here's in the graph there are four constraints, we will check all points which one is maximum.

Q: 32. Minimize and maximize MAM P = -x + 3y subject to 2r - y24 -x+ 2y < 4 yS6 x, y 20

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Q: Maximize P = 2x + 6y subject to x + 2y s 8 2x + ys 10 x, y 2 )

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