Use the simplex method to find x, 20 and x, 20 such that X1 + 4x2 2 26 X1 + X2 546 and such that z = 12x, + 10x, is maximized.

Q: -Salve. Linear.- Program by.using graiphic metheed miax-Z=4X+3X7 Sat. 6x,+4Xq€48. 4%2 8X2 8a X、ッ父セ2。

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

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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: Use lagrange multiplier to find dimensions (X, y) of rectangular with maximum area and having a…

A: Given:  Circumference of rectangle is 144 Let X, Y denotes the length and breadth of a rectangle…

Q: Find solution using LINGO Maximize Z = 6x1 - 4x2 subject to 2 x1+ 4 x2 = 16 and x1, x2 >= 0

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Q: Find the maximum values of f(x,y) = 81x² + y² subject to the constraint 4x? +y² = 1 (Use the…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x – 2y subject to the…

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Q: Use the Simplex method to maximize the freton z= 3x+ 212 Subject to the Constraints +22 6, 2x,+28…

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Q: ibe the Method of Fagrange multipliers to find the extreme value of FCx,4) = xy? suyjet to the…

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Q: Minimize ƒ = x² + x² +60x, subject to the constraints 8₁x₁-8020 8₂x₁+x₂-120≥0 using Kuhn-Tucker…

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Q: Find the optimum values of X1, X2 and X3 that maximize the values of Z using simplex method?…

A: Add slack variable for the simplex method  Maximize Z=2x1+4x2+x3+0S1+0S2+0S3 Subject to…

Q: Use the simplex method to find x, 20 and x, 2 0 such that X1 + 5x2 2 25 X1 + X2 547 and such that z…

A: Given LPP is Max Z=12x1+10x2 Subject to, x1+5x2≥25 x1+x2≤47 x1, x2≥0

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: Minimize f = x²+x+60x, subject to the constraints 8₁= x₁-8020 82x₁+x₂-120≥0 using Kuhn-Tucker…

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Q: Use the simplex method to find x, 2 0 and x2 z 0 such that X, + 3x2 2 24 X, + X2 s 42 and such that…

A: Given two equations:x1+3x2≥24x1+  x2≤42Query is to find the valus of x1≥0, x2≥0such that z=12x1+10x2…

Q: Use Lagrange multipliers to find the maximum and minimum values of z2 = x² + y2, subject to the…

A: Given:                               z2=x2+y2   Subjecting to the constraint:…

Q: Use the Lagrange multipliers method to find the maximum and minimum values of the function f(x, y) =…

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Q: Use the simplex method to maximize the following:

A: We have to find the solution by Simplex method for the given maximization problem…

Q: Use the simplex method. Minimize g = 11x + 9y + 12z subject to z 2 7 y + 2z 2 6 x 2 4. х + у + (х,…

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

Q: By using the Lagrange multiplier, find the three positive number, x, y, and z whose sum is h and…

A: Here, you have to maximize the function x4y8z7, subject to the condition that x+y+z=h⋯⋯1. In order…

Q: 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

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Q: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2< 36 and z = x1 + 3x2 is…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x,y) = 5x – 4y subject to the…

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Q: The function f(x,y)=4x+4y has a max and min to the constraint 16x2-16xy+16y2=25. Use Lagrange…

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Q: Minimize f = x²+x+60x, subject to the constraints 8₁x₁-8020 82x₁+x₂-120≥0 using Kuhn-Tucker…

A: Given - To minimize f=x21+x22+60x1  subject to constraints g1=x1-80≥0g2=x1+x2-120≥0 We have to…

Q: Use the simplex method to solve the following z = 3x1 + 3x2 - 9x3 4x1 + 4x2 - 12x3 s 60 5x1 + 5x2 +…

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Q: Use the method of Langrange Multipliers to find the maximum value of f(x, y) = 4xy subject to 2x − y…

A: Explanation of the answer is as follows

Q: Use Lagrange multipliers to find the point on the surface 3x+y−3=0 closest to the point…

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Q: Solve by Simplex method the following L. P. P. : Maximize : z = 7x + 5x2 Subject to : -X1 - 2x, 2-6…

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Q: Use the Lagrange multiplier method to find the values of and y that minimise the function 2x2 + y²…

A: Let us consider the function f(x,y)  To determine the maximum and minimum value of the function…

Q: Find the maximum value of z = 3x1 + 2x2 + 4x3 subject to the constraints 3x1 + 2x, + 5x3< 18 4x1 +…

A: Given,Max Z = 3 x1 + 2 x2 + 4 x3 subject to 3 x1 + 2 x2 + 5 x3 ≤ 18 4 x1 + 2 x2 + 3 x3 ≤ 16 2 x1 +…

Q: O Sobve the eava tíon X-6 上3 X-4 2x-1 243 4 Kt6 3. 2X-3 V-3 X-3 3D0 X+A 4 Xt6 -3 X-h 3.

A: This question can be solved using properties of determinant.

Q: Use Lagrange multipliers to find the extreme values of F(x,y)=x^2-y^2  subject to the constraint…

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

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Q: • Q2/ Using Lagrange multiplier method to find the maximum and minimum value of the function f(x, y)…

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Q: Use the simplex method. Minimize g = 10x + 9y + 12z subject to x + y + z 2 6 y + 2z 2 2 x 2 5. (х,…

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Q: Use the method of Lagrange multipliers to find the maximum value of f (x, y) = 9x2 + 36xy – 4y? –…

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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: Use the simplex method to solve the linear proglamniy Maximize z = 9x, +8X, subject to x, + 2x2 s 2,…

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Q: Use the two-stage method to solve. Find x 20, x, 20, and x3 20 such that X1 + X2 + 2x3 < 38 2x1 + X2…

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Q: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2 < 36 and z = x1 + 3x2 is…

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Q: Solve the following problem using Simplex Method. Minimize the function f = 2x, - 4x, – 3x; subject…

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Q: Find the optimal solution for (L.P) model using Simplex Method' Max. Z = 2xl- x2 +2x3 Subject to:…

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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: Use lagrange multipliers to find the max and min values of f(x,y) = 5x-4y subject to the constraint…

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Q: Minimized f(x1, x2) = -2 X1 + x2 Subject to 3x1 + 2 x2 < 2 2x1 – 4x2 < 3 Use Simplex Method to find…

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Q: Use Lagrange multipliers to find extreme values of x^4+y^4+z^4 subject to the constraint…

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Q: Use the simplex method to solve the following. z = 4x1 + 4x2 - 8x3 10x3 s 95 12x3 s 128 X1 20, x2 2…

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Q: Use the method of Langrange Multipliers to find the maximum value of U(q1, q2) = 2q1q2 + 6q1 + 2q2…

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