Using SIMPLEX Method, provide the following: 1. ALL basic feasible solutions. 2. Optimal values of the decision variables. 3. Objective function result or the optimal solution point. Given Maximize P = 5x₁ + 6x₂ Subject to 4x₁ + 2x₂ ≤ 200 X₁ + 3x₂ < 150 X1, X₂ ≥ 0

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Q: With reference to a transportation problem define the following terms: c) Optimal solution d)…

A: Optimal solution: A feasible solution which optimize ( maximum or minimum) the objective is called a…

Q: Find the optimal solution for the following problem. Minimize C = 4x + 12y subject to 3x + 5y  ≥ 12…

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Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

A: Consider the feasible set as given in the problem where three of the boundary lines are labelled…

Q: 0, 25) (180, 120) C60,の) z = 12x + 10y

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Q: For each of the following programs: (1) Sketch the feasible region of the program and the direction…

A: Solution a: Given that maximize     -2x1+12x2subject to x1-x2≤12x1-x2≥12x1+2x2≥4x1, x2≥0 The…

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Q: Find the maximum and/or minimum value(s) of the objective function on the feasible set S. (If an…

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Q: Maximise 1170x1 + 1110x2 Subject to: 9x1 + 5x2 ≥ 500 7x1 + 9x2 ≥ 300 5x1 + 3x2 ≤ 1500 7x1 + 9x2 ≤…

A: Graph all the inequalities using a tool.

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

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Q: For the given feasible region, the optimal minimum value of the objective function z=5x+3y is at…

A: Graph of  Z=5x+3y for constant Z will be:

Q: 4. Use the simplex method to find a basic feasible solution that maximizes Z = 2x+7y subject to the…

A: It is given x≥0 and y≥0 - 4x + 2y ≤ 8   , taking 2 common outside  2(-2x + y) ≤ 8 - 2x + y ≤ 4…

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

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Q: Solve the given linear programming problem using the simplex method. If no optimal solution exists,…

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Q: Draw the feasible region for the table manufacturing problem, where the constraints are modelled as…

A: Given 2x1+3x2≤3023x1+2x2≤16513x1+4x2≤64x1,x2≥0 Now graph of 2x1+3x2=3023x1+2x2=16513x1+4x2=64 is

Q: Use the given feasible region determined by the constraint inequalities to find the maximum and…

A: 1. Given Data: Equation: C=5x+8y Check each point at which the function is minimum and maximum. For…

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A: Given constraints: 14x1+6x2≥24x1+3x2≥6 Solution: We shall solve the given constraints using graph to…

Q: For the feasible region given in the figure and the objective function z = 36x + 50y, a. Determine…

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Q: Solve the given linear programming problem using the simplex method. If no optimal solution exists,…

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

A: Given : A problem  Maximize P=9x1+7x2 subject to the constraintsx1+x2≥2-x1+3x2≤20 andx1,x2≥0 To find…

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A: We will answer the first question only as we don't answer multiple questions at a time. Please…

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A: Find solution using Simplex method (BigM method)MAX Z = 9x1 + 6x2subject to3x1 + 2x2 &lt;= 30-6x1 +…

Q: Graph the feasible reglon. -x + y s 0 X S 5 y 2 -6

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Q: Given the feasible region formed by the following linear inequalties: 3x − y ≥ 7 2x + y ≥ 20 x + y…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: Given constraints −4x+ y ≥ 10x + 5y ≤ 12x ≥ 0, y ≥ 0 Graph each inequality  −4x+ y ≥ 10 Replace…

Q: For the given constraints and the objective function, z = 55x + 40y, a. Graph the feasible region…

A: a. Graphing the feasible region: Hence vertices are (0,18), (4,10), (12,0)

Q: Consider the following LP problem: max 4x₁ + 3x2, subject to 3x₁ + x₂ ≤9, 3x₁ + 2x₂ ≤ 10, x₁ + x₂ ≤…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: Given: The objective function  p = x + 2 y   subject to the constraints x + y ≥ 6 , x + y ≤ 10,  x –…

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Q: 0, 255) (180, 120) (20,0) z = 12x + 10y

A: Explained below...

Q: For the given constraints and objective function, z = 600x + 850y, a. Graph the feasible region and…

A: a. Graphing the inequalities and finding the vertices: Hence the vertices of the feasible region…

Q: Find the optimal Solution of following transportation system formulated below by 1. Simplex method…

A: Let's solve by using simplex method.

Q: Construct the initial basic feasible solution for the following LPP using the simplex method.…

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Q: Solve the linear programming problem using simplex method: Maximize: Z = 36x + 24y Subject to: x + y…

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Q: (3, 6) (1, 4) 2 (0, 1) (0,0) 4 8 6, 2.

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Q: Given the LP problem, Maximize z = 5x + 2y subject to x + 3y < 5, 2x + y < 2, x + y < 3, х,у 20. a)…

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Q: Find the optimal solution for the following problem. Minimize C = 4x + 12y + 3z subject to 15x + 5y…

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Q: Find the maximum and minimum values of the given objective function on the indicated feasible…

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Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

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Q: Using the following feasible region, determine the minimum and maximum given the objective function:…

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Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

A: Consider the feasible set as given in the problem where three of the boundary lines are labelled…

Q: Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is…

A: The given linear programming problem is as follows. Maximize p=x-3y Subject to 2x+y≥8 y≤7 x≥0 y≥0…

Q: 0, 259 (180, 120) 260, 0) z = 12x + 10y

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Q: Determine which of the tableaus, if any: 6) A) Gives an infeasible solution. B) Gives an optimal…

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Q: Identify the basic variables and determine the basic feasible solution for the following tableau. 2…

A: Consider the given tableau: 6    2   2  3  0  02    2   0  1  0  52    1   0  3  1  0  0  0  0-3-2 0…

Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

A: We have give a feasible set in the figure. we have to find the least value of the point in given…