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 = 12x, + 10x2 is maximized. The maximum is z = when x1 = and x, =

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: 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: 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: minimize Z - 3x, + 6x2 pubject to 3x, + 2r, s 18 X + x2 2 5 XI 54 x2/x, s 7/8 X1. X2 2 0

A: The step-wise graph is drawn and shown below follow these to reach the answer.

Q: Solve the problem using simplex algorithm Max Z= 6X+6Y S.T X+3Y≤2 2X+2Y≤5 X,Y≥0

A: The given linear programming problem is                                  Maximize Z=6x+6y…

Q: Use the Method of Lagrange Multipliers to find the largest product that the positive numbers x, y,…

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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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Q: Use the method of Lagrange multipliers to find three positive real numbers, x, y, and z whose…

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Q: Use the simplex method to maximize the following: Maximize f = 7a1+ 3x2 +9x3 subject to 3x1 + x2+…

A: First convert to the given LPP in SLPP by using slack variables s1,s2,s3 and then solve it.

Q: The function f(x,y) = 2x + 2y has an absolute maximum value and absolute minimum value subject to…

A: The given function is; f(x,y)=2x+2y and the given constraint is ; 9x2-9xy+9x2=16.

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: Use the simplex method (in tabular form) to solve the following problem Maximize: Z=5x,+9x2+X3…

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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: Solve the optimization problem. Minimize F = 20x² + 20y² with xy2 = 16. %3D F =

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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 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: Use Simplex method to maximize Z = x + 2y Subject to 2x + y <8 2x + 3y < 12 I, y 2 0

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Q: Use simplexmethod to solve the given LPP Maximize z = 6xi+8X2 subject to, 3oxi+20r2<300 52+lox25 llo…

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Q: Find positive numbers x and y such that x + y = 48 and 5x2y + 10 is maximized.

A: Given that, x + y= 48 y = 48 - x ................... (1) The function is: f(x, y) = 5x2 y+ 10 f(x) =…

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 optimization problem. Minimize F = 37x² + 37y2 with xy² = 16. F =

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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 Lagrange multipliers to find the maximum and minimum values of f subject to the…

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Q: What can be changed to have a bounded solution for this model? Explain by solving it.  Max Z= 3x1 +…

A: The constraints of a linear programming problem decide the feasible region of the problem. If the…

Q: Use the two-stage method to solve. Find x, 20 and x, 20 such that X1 + 2x2 s 22 X1 + 3x2 2 12 2x, +…

A: In Two Stage Method, the whole procedure of solving a linear programming problem (LPP) involving…

Q: Use Lagrange multipliers to find the extreme values of f(x, y) = x² – y² subject to the constraint…

A: Given the function fx,y=x2-y2 and x2+y2=1. Let gx,y=x2+y2-1. Find the extreme values of f subsject…

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: • 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: Solve the optimization problem. F = Minimize F = 11x² + 11y² with xy² = 16.

A: Given problem:- Solve the optimization problem.   Minimize F = 11x2 + 11y2 with xy2 = 16

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: Use the simplex method to find x, 20 and x, 20 such that X1 + 4x2 2 26 X1 + X2 546 and such that z =…

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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: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

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

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Q: Find the optimal solution by simplex method 3 Max Z = x, – 150x, + 4 1 ち- 6x。 50 6X4 s/t 25x, -…

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Q: The function f(x,y) = 7xy has an absolute maximum value and absolute minimum value subject to the…

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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: 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 method of Lagrange multipliers to find the maximum and minimum values of the function (4,3)…

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