Give the conditions for Simplex method to be applied, then find the optimal solution of the following problem: Z = 3x1 + x2 2.x1 - x2 36 3x, +9x, s 45 X1, x2 20 Maximize subject to

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: 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 value of z =12x+9y subject to the constraints 4x+3y ≤36 8x+3y ≤48 x≥0, y 20

A: Given the objective function Maximize Z= 12x+9y. subject to  4x+3y≤368x+3y≤48x,y≥0 use the graphical…

Q: Using the simplex method, find the optimal solution for the following objective function: Max Z=…

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Q: Consider the following problem: Maximize Z= 2x1 - x2 + X3, subject to x2+ 3x3 0, X3 2 0. Work…

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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: 1. Maximize using the Simplex Method f = 3x + 10y subject to 14x + 7y < 35 5x + 5y < 50

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Q: For the dual simplex method, the problem has a feasible solution if a,, for none-basic variables is:…

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Q: find the solution of the following LP problems using simplex and graphical method A - Max z= 30x, +…

A: We have to find the solution of the given linear programming problem in the two variables using the…

Q: Solve the following LPP problems using Simplex Method: 3. Max Z = 3x1 + 2 x2 + 5x3 Subject to…

A: The given linear programming problem is                         Max Z=3x1+2x2+5x3…

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.

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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: Solve the following LP problem by using the graphical procedure and by using Excel: Minimize cost =…

A: Linear Programing is a mathematical technique to optimize given constrains.

Q: Consider the following Simplex problem: Max. Z=: 3X1 + 5X2- -(OF) Subject to: X1 + 6X2 less than or…

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Q: In this problem we want to understand how the simplex method deals with an LP problem having an…

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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: Use the simplex method to solve the following maximum problem: P = 4x1 + 5x2 Maximize: Subject to…

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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…

A: Let's find.

Q: Solve the following linear programming problem using the simplex method. STEPS PLEASE Maximize P =…

A: We have to solve the following linear programming problem using the simplex method.…

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

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

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Q: b) Consider the following simplex problems: Max. Z=3X1 + 2X2 (Objective Function) Subject to: -XI +…

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Q: Maximize 3x + 3y Subject to 2x + y <= 150 2x + 3y <= 300 Find the optimal solution for the above…

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Q: For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic…

A: Given Simplex Tabuleau is, x1 x2 x3 s1 s2 z   6 -2 2 0 1 0 24 3 -4 1 1 0 0 16 7 1 2 0 0 1…

Q: Solve the following problem using the Simplex method and graphical method: Maximize Z = f(x,y) = 3x…

A: Given graphical methodMax z=f(x,y) = 3x+2ys.t 2x+y≤18     2x+3y≤42     3x+y≤24  x≥0 , y≥0

Q: Consider the problem of maximizing the algebraic expression q given by q = V6 – (x + 2)² – y² -…

A: Given that: q=6−x+22−y2 Constraint: x2−y2−4y−8=0

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: Apply Optimal Runge-Kutta method and obeain y,, I₂ and y for the problem y = + + 2y y(₁7=1 , h = 0.1

A: Let us solve the given Numerical Analysis problem using R-K 2 Method in the next steps.

Q: Use Dual Simplex Method to solve the following optimization problem: Minimize: z = 6x, +3x2 +4x3…

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Q: x+3y<= 9

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Q: Solve the given linear programming problem. Minimize z = 4x+ 3y subject to x20, y2 0, x+ y24, xs7,…

A: Given 2=4x+3yx≥,0,y≥0x+y≥4x≤7y≤6

Q: Solve the following by inspection (using graph), and justify the method of solution in terms of the…

A: Given that,  Maximize z=5x1-6x2+3x3-5x4+12x5 Subject to  x1+3x2+5x3+6x4+3x5≤90x1,x2,x3,x4,x5≥0

Q: Find the maximum value of P(x,y) = 12x + 15y subject to the constraints: x>0 y 0 4x + 3y 12

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Q: Let fo(r1, x2) = x} + 4x3. Find the optimal point and the optimal value of the convex optimization…

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Q: Solve the following problem using the simplex method: Maximize: z=2x+3y table row cell 2 x minus y…

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Q: Maximize z = 8x + 2y, subject to the following constraints. (If an answer does not exist, enter…

A: Given the equation: z=8x+2y constraints: 2x-5y≤10; -2x+y≤2; x≥0; y≥0   To find the maximum value of…

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: 2. Try to solve the objective function as z=-12x+24y, and the restriction formula is 0<x<15, 0sy<10,…

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Q: Given linear program: Max 3A+2B s.t. 1A+1B≤11 3A+1B≤24…

A: In order to find optimal solution we follow the following steps: 1. Make small table to of each…

Q: Solve applying the simplex method to the dual problem Minimize C= 6y, +8y, +12y, Subject to y +3y,…

A: Step:-1 Given primal problem is Minimize   C=6y1 +8y2 +12y3subject…

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

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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: 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 linear programming problem using the simplex method. 5x + y< 30 Maximize 2x + 9y subject…

A: Solution is in step 2

Q: Find the optimal solution for the following model graphically Max Z 5X, +2X2 Subject to, X +X2 s 10…

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Q: Find the maximum value of P = x + 6y subject to the following constraints: (2x +4y < 10 X+9y < 12 x…

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