3. Solve using the simplex method the following problem. TY Subject to: 2x+y<18 Maximize Z=3x+2y 2x+3y < 42 Зx+y $ 24 х,у 20

Q: 2. Solve the following equation using LU factorization with partial pivoting. + x + 2x, + 2x, = 6 +…

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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: find the Solution tothe fllowing lin ear programming problem by using the engineering drawing…

A: Given:  Max(z) = 4x + 3yy + 2x ≤ 122x + 2y ≤10x, y ≥0

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: 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: Solve using simplex. Minimize: w = y1 + y2 + 4y3 Subject to: Y1 + 2y2 + 3y3 > 115 2y1 + y2 + 8y3 200…

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

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Q: Solve using artificial variables. Maximize z = 3x, + 2x2 subject to: X, + X, = 60 4x1 +2x, 2 140 5x,…

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Q: Solve the following problem by using the Simplex approach: Maximize Z = 4X1…

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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: 9. Plot the solution set to the following system of equations I >3 (а) y 7 7 > 7

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Q: Minimize C =-4x - 7y %3D Subject to 6x+ 2y < 40 2.x +3y < 50 x 20, y 2 0

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

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Q: Minimize c = 6x + 14y Subject to the constraints: 14x + 7y 2 43 3x + 7y 2 21 -x + y 2 -5 x, y 2 0

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Q: Find the number of slacks variables needed and use slack variables to convert each constraint into a…

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Q: Solve the linear programming problem using the simplex method. Зх + 2y< 100 Maximize 2x + 3y + 500…

A: Solve the following linear programming problem using Simplex method: Maximize M=2x+3y+500 Subject to…

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

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Q: Maximize P = 5x − y subject to x − y ≤ −2, 3x + y ≤ 3, x, y ≥ 0 using the simplex method.

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Q: HW 4: Use the simplex method to solve the following problem and verify the solution by the graphical…

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Q: 6. Solve the system Т +2=6 - 3y + z = 7 by reducing into upper triangular form and using back…

A: Introduction: A square matrix is referred to as a triangular matrix if all of the components below…

Q: Form the dual maximization problem (Use x,, Xa, and x, as the variables and fas the function.) and…

A: MIN g = 13y1 + 12y2subject toy1 + y2 &gt;= 1002y1 + y2 &gt;= 1406y1 + 5y2 &gt;= 580and y1,y2 &gt;=…

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

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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: Solve the following LP problem using the simplex method. Minimize subject to 4x+2y+4: 26 x+2y+2:28…

A: Objective Function: Minimize: C = 1800x + 2000y + 3200z Subject to: 4x + 2y + 4z ≥ 6 1x + 2y + 2z ≥…

Q: State the dual problem. Use y₁, y2, y3 and y4 as the variables. Given: y1 ≥ 0, y2 ≥ 0, y3 ≥ 0, and…

A: Introduction: To find the dual of the given linear programing problem we have to change minimization…

Q: Convert into a maximization problem with positive constants on the right side of each constraint,…

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Q: 6. Determine the maximum value of the following quadratic function. fx) = -3 x2 + 6x + 4 %3D О Мах…

A: To find the maximum value of f(x).

Q: Use the simplex method to find the

A: Given,        Max(Z)=20x1+10x2subject to            4x1+x2+x3=30           2x1+3x2+x3≤60…

Q: Solve the following model using Excel: maximize Z = 3x₁ + 6x2($, profit) subject to 3x12x2 ≤ 18…

A: Given LPP:Maximize Subject to,To find:The solution to the LPP using Excel.

Q: Use the simplex method to solve the following. z = 3x₁ + 3x₂ - 6x3 5x₁ + 5x₂ - 10x3 ≤ 75 6x₁ + 6x₂ +…

A: Normal form is:Max z=3x1+3x2-6x3Subject to: 5x1+5x2-10x3+s1=75…

Q: Calculate the maximum value of 10x + 5y subject to the constraints below: 2x + 2y  1 x > 0

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Q: In solving maximization problem using simplex method, the optimum column is obtained by getting the…

A: Solution: In maximization problem using simplex method, First, set up the problem and then convert…

Q: 1. Use the simplex method in tabular form to solve the problem: Maximize Z2r1 +42 +33 subject to and…

A: Solution:

Q: 2. Solve Graphically Max P =4x+2y Subject to: x+2y<10 x+4y<12 x20, y 20

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Q: Pivot once about the circled element in the simplex tableau, and read the solution from the result.…

A: Given a simplex tableau at an intermediate step, we have to find the values of the basic variables.…

Q: Solve the following optimization model using Excel Solver. Upload the final excel file. min 2x² +…

A: Excel solver input data: