Solve the following problem using the Simplex method and graphical method: Maximize Z = f(x,y) = 3x + 2y subject to: 2x + y s 18 2x + 3y s 42 3x + ys 24

Q: Consider the following problem. Maximize Z= 3x₁ + 9x2, subject to 3x1 + 4x2 ≤ 12 x1 + 4x2 ≤ 6 5x1 +…

A: We have to find dual of given problem by the dual simplex method and the optimal solution.

Q: Write the dual maximization problem, and then solve both the primal and dual problems with the…

A: Converting the given problem in standard form, using surplus and artificial variable. Max g =…

Q: Find the maximum of the objective function C = 3x + 3y subject to the feasible region below. 12- 10-…

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Q: Solve the given L.P. problem by the graphical method. Maximize  Z = 50x1 + 60x2…

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Q: A company has the following production function: R(x, y) = 4yx? The constraint of this production…

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Q: 2. Solve the following LP model using the simplex method. Minimize z =- 4x1 + 6x2 – 2x3 +4x4 Subject…

A: The objective is to solve the linear programming model using simplex method. Minimize…

Q: Find the maximum possible value of f = 100x +100y and the values of x and y that give that…

A: GIVEN f = 100x +100y we need to find the maximum possible value of f,

Q: Solve the following LP problems using Simplex Method. Minimize P = y1 – 3y2 + 2y3 Subject to : Зу1 —…

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Q: Solve the linear programming problem using the simplex method. Maximize Z= 2x + 9y subject to the…

A: Consider the given problem.

Q: Solve the following problem using the method of Lagrange multipliers: Find the marimum and minimum…

A: To find the maximum and minimum values of x−y3, subject to the constraint x2+9y2=9.

Q: 6. Solve the problem below using the simplex method. Minimize C = 9x1+ 2x2 subject to 4.x1 + x2 > 13…

A: Since, constraints have greater than equal to sign, so, adding -ive slack variables s1 and s2 in…

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

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Q: b) Consider the following LP problem. Minimize z = 2x₁ + x₂ Subject to 3x₁ + x₂ ≥ 3 4x₁ + 3x₂ ≥ 6 x₁…

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Q: Solve the following problem by using the Graphical Method, and find the optimal solution. Max Z = 6…

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Q: Solve the following LPP problem by using graphical method: Maximize: Z = cx + dy C=3 d=9 Subject to…

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Q: Solve the LP problem below using the graphical method: Minimize 6x + 4y subject to 4x + 12y 2 96 8x…

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Q: Q3 Solve the following linear programing problem by using the Simplex method: Maximize n= 4x + 3y x…

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Q: Use the Simplex Method to solve for X1 and X2: Objective function: Maximize z = 4x₁ + 3x₂ Subject…

A: We have to solve for x1 and x2 using the simplex method.

Q: 3. Solve the following LPP problem by using graphical method: Мaximize: Z 3D сх + dy Subject to the…

A: First plot the constraints and shade the bounded region AB is the line x+2y=40 AD is the line…

Q: Consider the problem below and solve it using the Dual Simplex method. Maximize Z = -2x1 + 4x2 - X3…

A: Given that maximize  Z=-2x1 +4x2 -x3subject to4x1-x2-5x3≤ 222x1+3x2+2x3=12x1≥0,  x2, x3 is URS…

Q: Q4: Find 4x al S(2e2x + 2x2+10 b/ S(2e2x – x-2 + –)dx , x #0 2x c/ S 2x³dx d/S Vx5 dx el S- dx, (x +…

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Q: Solve the following problem using the standard simplex method. Minimize C =-4x - 7y Subject to 6x +…

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Q: Maximize the function P = 9x - 5y subject to y 2 5x + 6y s 30 8x +3y 2 24 What are the corner points…

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Q: Consider the following linear program. Min Z = 3 * x 1 + 4 * x 2 S.t. 1* x 1 + 3 * x 2 >= 6 1* x 1 +…

A: The given linear programming problem is, Min Z=3x1+4x2S.t.x1+3x2≥6x1+x2≥4x1,x2≥0

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x +y Subject to: 2x + y56…

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Q: Maximise z - 17.5x + 7 . (1) subject to the constraints, x + 3y s 12 . (2) 3x + ys 12 . (3) X, y 2 0…

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Q: Solve by applying the simplex method to the dual problem. C= 15x, + 12x2 + 15x3 + 18x4 X1 +X2 s 14…

A: In order to apply the dual simplex method, convert all >= constraint to <= constraint by…

Q: Solve the linear programming problem by the simplex method. Maximize P = 18x + 13y x + ys 12 Зх + ys…

A: Answer:----.                     Date:----30/09/2021

Q: x+3y<= 9

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Q: 1. Find the maximum value of the function P(x,y) = 3x + 2y subject to the constraints x + 2y 0, and…

A: The function, Px,y=3x+2y subject to constraints x+2y≤4, x-y≤1, x≥0, and y≥0.

Q: Determine the optimal solution using graphical method. Maximize: Z= 20x – 4y Subject to: 2x + y 2 8…

A: Given

Q: Suppose we want to maximize the function V = x2y, with x, y positive, subject to the constraint x2 +…

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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: 2. Use the standard simplex method to solve using your first pivot choice. Provide the sequence of…

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Q: Use the Simplex Method to solve for X1 and X2: Objective function: Maximize z = 4x₁ + 3x₂ Subject…

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Q: Solve the following problem by using the Graphical Method, and find the optimal solution. Max Z = 2…

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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: x + 2y < 48, x + y< 30 2x + y < 50 x + 10y < 200 Use the simplex method to maximize f (x, y) = 3x +…

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Q: c) (i) Use x. and x.as the initial basic variables and apply simplex method to solve: Maximize: z =…

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Q: Use the simplex or two-phase method to solve the following problems. maximize : + subject to: x,+…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

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Q: Use the simplex method to minimize  w=3y1+2y2 subject to:  2y1+3y2&gt;=60 y1+4y2&gt;=40 with…

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Q: Q3 Solve the following linear programing problem by using the Simplex method: T = 4x + 3y x + y < 5…

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Q: Q3 Solve the following linear programing problem by using the Simplex method: T = 4x + 3y x + y 0…

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Q: Write the dual maximization problem to solve the minimization problem using the Simplex Method, Show…

A: Here, in primal the given objective function is maximum then in dual the objective function is…

Q: The function fcxiy) 7x max value and absolute min value subject to the constraint xo t y? + z^ -32=1…

A: Solutionf(x,y)=7xto find the minimum value of the constraint x2+y2+z2-32=1

Q: Solve the following LP problem by hand using the Simplex Method. Problem: Maximize: x + 5y subject…

A: To solve the linear programming problem using the simplex method use the Big M method. For that…