Use the simplex method to solve. (See Example 1.) Maximize z = 4x1 + 2x2, subject to 3x1 + X2 s 22 3x1 + 4x2 < 34 X1 2 0, x2 2 0. X1 = X2 = z =

Q: Use the simplex method to solve the following. Maximize z= 3x, + 3xy = 6x3 subject to 5x, + 5x2 -…

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Q: Find the pivot in the simplex tableau. The pivot is. راا X₁ X₂ X3 S₁ S₂ 1 1 1 3 2 0 0 01 4 8 5 4…

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Q: Solve: Minimize C = 2x + 10y, subject to: 5x + 2y ≥ 40 x + 2y ≥ 20 y ≥ 3 , x ≥ 0

A: Minimum value of C=58

Q: 14. Maximize P = 15x1 + 20x2 %3D subject to 2xı + x2 s 9 X1 + x2 s 6 X1 + 2r2 s 10 X1, X2 0

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Q: Use the simplex method to solve the problem. Maximize Z= 2x1 - 4x2 X1 +x2 s 24 5x, + 3x2 2 90…

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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: 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: Using the simplex method solve for:   Maximize Z = 6x1 + 4x2 Subject to constraints, 2x1 +3x2 ≤…

A: Given Subject to constraint is converted into standard form Using Slack Variable

Q: Solve using Gauss Elimination Method 2x1 + x2 + x3 – 2x4 = -10 4x1 + 2x3 + x4 = 8 3x1 + 2x2…

A: Given equations 2x1 + x2 + x3 – 2x4 = -10 4x1 + 2x3 + x4 = 8 3x1 + 2x2 + 2x3 = 7 X1 + 3x2 + 2x3 – x4…

Q: Q.3/ Solving a minimization problem, find the minimum value of w=0.12x1+0.15x2 Subject to the…

A: w=0.12x1+0.15x2                 Objective function subject to the following constraints…

Q: Solve. Maximize P = 4x + 3y, subject to: 3x + 5y ≥ 20 3x + y ≤ 16 – 2x + y ≤ 1 x ≥ 0, y ≥ 0

A: The given linear programming problem is, Maximize P=4x+3y3x+5y≥203x+y≤16-2x+y≤1x≥0,y≥0

Q: Use the Dual simplex method to solve the following problem and verify the solution by the graphical…

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Q: Maximize P= 5x1 +2X2 -X3 X1 +X2- X3 53 2x, +4x2 + 3x, s9 subject to X1, X2, Xg 20 Use the simplex…

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Q: 6.A company makes product 1 and 2 from resources, the LP model is like below Maximize Z= 8x1 +2x2…

A: Maximize Z =8x1+2x2Subject to4x1+5x2≤202x1+6x2≤18x1,x2≥0 :After introducing slack variablesMax Z =…

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: Example : Solve the following LPP using the simplex / Big M Method Minimize Z = 3x, + X2 Subject to…

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Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: Solve using artificial variables. Maximize z = 3x, +2x2 X, + X2 = 70 4x, +2x2 2 140 5x, + 2x, s 250…

A: Graphical method

Q: Maximize f(x,y)=x2+y2 subject to the constraint 2x+6y=26 the last question is what is the maximum…

A: Given fx,y=x2+y2 and 2x+6y=26-1Let gx,y=2x+6y-26∴ Fx,y=x2+y2-L2x++6y-26By lagrange's…

Q: Maximize f(x₁, x₂) = x₁ + x2 use of simplex method and it subject to: X₁ + 2x₂ ≤ 10 2x₁ + x₂ ≤ 10 x₂…

A: We have given LPP problem, max fx1, x2 = x1+x2x1+2x2≤102x1+x2≤10x2 ≤ 4x1, x2 ≥ 0 We need to use…

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: Solve the optimization problem. Maximize P = xy with x + 2y = 42. %3D P =

A: Solve maximum using Legranges multipliers method

Q: = 1.5 Po 2 x' + 4x? – 10 = 0, with p, =1.5 x’ + 4x – 10 = 0,

A: The given equation is, Initial solution is,  First find the best choice of equation of x. At the…

Q: Maximize P=12x1+3x2+x3, Subject to:  10x1+2x2+3x3 ≤100 7x1+3x2+2x3≤77 2x1+4x2+x3 ≤80 x1,x2,x3≥0

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Q: Solve the linear programming problem using the simplex method. P = 30x, + 40x2 Maximize 2x, + x2 s…

A: According to the given information, it is required to solve the linear programming problem using…

Q: (Maximize): Z = x1 + 2 x2 + 2x3 Subject to: X1+X2 2 50 2x1 +x2 + X3 s 70 X2 + 3x3 2 40 X1, X2, X3 2…

A: It is given that

Q: Q6. Solve the following problem using the simplex method: Maximize z =2x+y Subject to x+y<6 x+2y<8…

A: Given. Z = 2x + Y Constraints are  X + Y&lt;=6 X +2Y &lt;=8 Mathod is simplex mathod

Q: Solve the optimization problem.  Maximize P = xy with x + 2y = 38. P =

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Q: Maximize P = 4X, + 2X2 Subject to X1 + 2X2 <6 (machine time) 2X1 + 2X2 <8 (labor) where X1, X2 20

A: Solution is as:

Q: Solve the optimization problem. Maximize P = x y with x + 2y = 36. P =

A: to maximize p

Q: Maximize P= 2x, + 5x2 subject to x1 +2x2 s20 X, + 3x2 s 17 X1 + 4x2 s 16 X2 514 X1, X2 2 0 (A) The…

A: Given that Maximize P=2x1+5x2subject to x1+2x2≤20                x1+3x2≤17                x1+4x2≤16…

Q: ed Cor = Solve the linear programming problem using the simplex method. Maximize subject to P= 5x₁ +…

A: Introduction: In mathematical programming, a theoretical technique used in management science and…

Q: Use the simplex method to solve the following. Maximize z= 3x, + 3x2 - 9x3 subject to 4x1 + 4x2 -…

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Q: Perform the solution of the following 2-variable model with the graphic method. Determine the…

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Q: Use the simplex method to solve the problem. Maximize Z= 2x, - 8x2 subject to X1 +X2 $24 5x, +3x2 2…

A: Consider the given problem.

Q: Solve the minimization problem min 2x7 + 3x + 4.x% + 2x1x2 – 2x1r3 – 8x1 – 4x2 – 2x3 - | | s.t. *1,…

A: This is a problem of optimization.

Q: Q4. Solve the following problem using the simplex method: Minimize z = x- 4y Subject to 2x - 3y <6 x…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity, use variables  the given…

Q: Solve the linear programming problem using the simplex method. Maximize subject to ⒸA. The maximum…

A: Given  Maximize    P=30x1+40x2Subject to  2x1+x2≤20                      x1+x2≤14…

Q: LP Model: Minimize z = 15x1 + 20x2 Subject to: x1+2x2210 2x1- 3x2 0 Find the optimal solution.

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Q: Maximize P=2x1−3x2+4x3, Subject to: 4x1−3x2+x3 ≤3 x1+x2+x3 ≤10 x1,x2,x3 ≥0

A: The given problem is linear programming problem (LPP). To solve the problem we will use the simplex…

Q: Maximize 72+x2 +xy - 8y², subject to the constraint 8-x-2y 0. The maximum value of 72+x2 +xy-8y2…

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Q: Maximize P= 2xq + 5x2 subject to x, +2x2 5 40 X1 + 3x2 s 34 X1 + 4x2 s 32 X25 28 X1, X2 20 (A) The…

A: In order to apply the dual simplex method, convert all &gt;= constraint to &lt;= constraint by…

Q: Pivot once as indicated in the given simplex tableau. Read the solution from the result. X1 X2 X3 2…

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

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Q: Use the Dual simplex method to solve the following problem and verify the solution by the graphical…

A: In order to apply the dual simplex method, we convert Min Z to Max Z and all ≥ constraint to ≤…

Q: Minimize 3x2 + 4y2, subject to the constraint 192- 2x-4y 0. The minimum value of the function is…

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Q: Use the Dual simplex method to solve the following problem and verify the solution by the graphical…

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Q: Maximize z = 5x1 + 2x2 + 3x3 subject to X1 + 5x2 + 2x3 s *1 - 5x2 - 6x3 s bz The following optimal…

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Q: Solve the linear programming problem using the simplex method. and x Maximize subject to Use the…

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