Solve the following linear program using the simplex method. Explain each simplex pivot by showing the simplex tableau for cach extreme point visited. Start with the initial solution xi - 0 and x: - 0. Compute the value of the objective function and decision variables at optimality. Maximize: 7.- 9x1+ 6x2 Subject to: 3x 2x2 S 30 -6x1 + 3x2 s 12 4x1 - 2x2 s 24 X2 X1, X2 20

Q: B: Find the solution to the following linear programming problem using the simplex method Max…

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Q: Find the solution to the following linear programming problem using the simplex method Max…

A: MAX (Z) = 4x1 + 3x2 + 2x3 subject to :     3x1 + 2x2 + 5x3 ≤ 23         2x1 + x2 + x3 ≤ 8…

Q: Max F - 4x, + 10x, Subject to 12x, + 0.6x, - 300 4x, + 10x, 2 200 2r, + 3x, s 90 * 20

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Q: Consider the following linear program (LP): minimize -2x1 + x2 subject to + x2 X3 = 3 X1 + x2 + X4…

A: Given minimize   -2x1+x2subject to x1+x2-x3=3                  x1+x2+x4=6…

Q: Q4. The optimal simplex tableau for a maximization problems having two < type constraints and…

A: We will use basic knowledge of linear programming to answer this question.

Q: The pivot in the following simplex tableau is the 1 in the second row, first column. 1 0 0 101 0 1 0…

A: The solution is given below

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

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Q: Use the simplex method to solve the linear programming problem. Maximize z= 5x, + 3x subject to: 2x,…

A: To keep notations simple, we use x and y instead of x1 and x2.  First, we graph lines…

Q: solve the following linear programming problems by graphical method maximize 2r1 +3r2 subject to I+…

A: Given: Maximize = 2x1 + 3x2  Subject to :   x1 + x2 &lt;= 1 3x1 + x2 &lt;= 4 And x1 ,x2 &gt;= 0

Q: (c) Write the dual problem

A: The following linear program ;  maximize Z = 3x1+4x2+x3 subject to ;…

Q: Use a graphing calculator or a computer program for the simplex method to solve this linear…

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Q: Use the simplex method to solve the linear programming problem. z = 8x, - 7x2 + 6x3 2x, - x2 + 8x3 s…

A: Given:  Maximize:   z=8x1-7x2+6x3 Subject to constraints:…

Q: Q2\ Solve the following linear programming problem by using the simplex method: Max P = 3x1 + 2x2 +…

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Q: (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the…

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Q: Solve the following linear programming model using the graphical method: maximize z = 4X + 5Y…

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Q: Solve the following linear programming problem using the comer point method. Maximize 3X+5Y Subject…

A: Convert the inequality into equalities and find the intersecting point from the equations:

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: [C] Solve the following linear programming problem using simplex method: Maximize Z = 45x1 + 80x2…

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Q: 2) Solve the following linear programming problems by the simplex method. Hint: Find the pivot…

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Q: Solve the given linear program by graphical method. Maximize: P = 4x + 6y Subject to: 2x + 3y ≤ 24…

A: We have: Maximize : P=4x+6ySubject to : 2x+3y≤24x-y≤7y≤6x,y≥0 Let us make the graph of the…

Q: Use the simplex method to solve the following linear program: maximize x1 + x2 + 3x3 subject to 1 +…

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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: Use the simplex method to solve the linear Maximize z=X, + 2x2 + X3 + 10x4 subject to: X, + 5x, + Xg…

A: We solve given LPP by Simplex Method.

Q: Form the initial tableau, and identify the pivot element. Maximize g = 18x + 53y %3D subject to x-3y…

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Q: Solve the following linear programming problem by using simplex table method. МАX Z 3D 15х, — Зх2 —…

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Q: Solve the linear programming problem using the simplex method. P= 6x1 + 2x2 - X3 X1 + X2 - X3 55 2x1…

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Q: Given the following simplex tableau, determine if the solution represented is optimal. If it is…

A: Introduction: The Simplex method uses slack variables, tableaus, and pivot variables to solve linear…

Q: What is the maximum value? At what point is it obtained? Solve the given linear programming problem.…

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Q: Solve the following linear programming model by the Simplex Method: Maximum (Z) = 3X1 + 5X2…

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Q: Solve the following linear programming problem using the simplex method. Maximize P=x₁-x2 subject to…

A: Here we use simplex method to solve this question we can also use graphical method .

Q: Solve each linear programming problem using graphical method. 1. Minimize: Z = 6x + 2y Subject…

A: Graph the problem as shown below:

Q: Maximize Subject to And ? = 4x1 + 3x2 X1 + x2 ≤ 4 2x1 + x2 ≤ 6 X1,x2 ≥0 Q1 Solve the following…

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Q: Solve the linear programming problem by the simplex method. (There may be more than one correct…

A: We will use simplex method for solving given problem

Q: A: Find the solution to the following linear programming problem using the simplex method Max…

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Q: Solve the following linear programming problem using the simplex method. Maximize P = 4x - 3y + 2z…

A: The given problem is  Maximize P=4x-3y+2z Subject to 2x-y+8z≤404x-5y+6z≤602x-2y+6z≤24x,y,z≥0

Q: Consider the following linear program. Мах ЗА + 4Bв s.t. -1A + 2B57 1A + 2B s 12 2A + 1B s17 A, B 20…

A: In an optimation problem, a slack variable is a variable that is added to an inequality constraint…

Q: Consider the following optimization problem Minimize z = x1 + 3x2 subject to 3x1 − 2x2 ≤ b1 x1 + 3x2…

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Q: Solve the following linear programming problem involving two variables by the graphical method (a)…

A: Given that,  (a) Maximize  Z=4x+6y subject to the constraints -x+y≤11,2x+5y≤90,x+y≤27,x,y≥0…

Q: 'Solve the following linear programming problem using the graphical method. Max (Z)=5X₁+7X2…

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Q: Find the solution to the following linear programming problem using the simplified method: Max Z:…

A: The given linear programming problem is  Max Z: 5x1+10x2s.t.x1+3x2≤62x1+2x2≤4x1 , x2≥0 This problem…

Q: Solve the following linear programming problem using the SIMPLEX Method: Maximize P= 5x+4y…

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Q: Introduce slack variables as necessary, then write the initial simplex tableau for the following…

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Q: Q2. Complete the following iteration tableau of Maximization problem of LPP and comment on the…

A: To complete the given iteration tableau of Maximization problem of LPP.

Q: 1. Solve the following problem, using the corner point method/graphical solution procedure. For the…

A: To find feasible region we need to draw graph of lines obtained by converting in equalities to…

Q: B: Find the solution to the following linear programming problem using the simplex method Max…

A: Max Z=5x+10ysubject to 8x+8y≤16012x+12y≤180x,y≥0 The problem is converted to canonical form by…

Q: Solve the given linear program by graphical method. Maximize: P = 5x + 8y   Subject to: x + (3/2)y…

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Q: Solve the linear programming problem using the simplex method. Maximize P= 2x1 + 3x2 + 4x3 subject…

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Q: Solve the given linear programming problem using the table method Maximize P=7x₁ +6x₂ subject to:…

A: Given LPP is max P=7x1+6x2subject to:3x1+x2≤21x1+x2≤10x1+2x2≤12x1,x2≥0 Now using slack  variable max…

Q: Use the simplex method to solve the linear programming problem. z= 5x, + 2x2 +Xg 4x1 +4x2 + X3 S 36…

A: Let us consider s1 and s2 as the slack variables corresponding to the first and second constraints.…