2. (10 point) Consider following linear programming problem maximize Z= x1 + x subject to x + 2x2<6 5x+3x² 12 X1, X220

Q: [3.7] Consider the following linear programming problem: Maximize 2x₁ + subject to 2x₁ + XI X1, x2…

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Q: Write the linear programming problem as a maximization problem with all inequalities (except x 20, y…

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Q: Also, we must have *20. y20. Therefore, the above problem can be fomulated as follows: find x and y…

A: # we are entitled to solve one question at a time, please resubmit the other question which you wish…

Q: P= 30x, +x2 (A) Using slack variables, determine the initial system for the linear programming…

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Q: 3x, +3x, +2x; +1 MaxZ = 2x, +.x, +x; +1 S.t. 2.x, +5x, +x; < 2 X +2x, +3.x; < 3

A: We compare the given fractional linear programming problem by the standard fractional linear…

Q: Use graphical methods to solve the linear programming problem Minimize 2-4x+ 5y subject to 2x-4y 10,…

A: The linear function that needs to be optimized(maximize or minimize) is called the objective…

Q: ve the linear Maximize subject to programming problem using the simplex P=6x₁ + 2x₂ - X3 X₁ + X₂ -…

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Q: Use the simplex method to solve the linear programming problem. z = 8x₁ - 7x2 + 6x3 2X₁ X₂ + 8x3 ≤…

A: The LPP is:Maximize Subject toTo Do: We have to solve using the simplex method.

Q: Maximize z 24x4 +5x2 subject to: 6x1+4x2 s5 X1 + 4x2 s10 x1 20, x2 20. Use the simplex method to…

A: Refer to the question, we have been provided with the following objective functions and constraint…

Q: First show that for any Equilateral Triangle with side a the height is a. Then provide a nonlinear…

A: Proof for the height of an equilateral Triangle We take a triangle ABC with side a, We draw an…

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

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Q: Consider a school district with I neighborhoods, J schools, and G grades at each school. Each school…

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Q: 3. Mang Gustin observed that when he uses x units of fertilizer, he is able to yield 1 m(x) = − −x¹…

A: To find the maximum yield we need to use the concept of maxima and minima. First we need to find the…

Q: Q1/ Solving the mathematical model of linear Programming simplex method: Max Z = 20x₁ + 40X₂+ 30 X3…

A: The given Linear Programming Problem is: Max…

Q: Solve the following linear programming problem, using the Method of Corners. (If an answer does not…

A: The linear function that needs to be optimized is called the objective function. The objective…

Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: The Star Automobile sells car and motorcycle. The company has developed the following nonlinear…

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Q: State the dual problem for the linear programming problem. State the dual problem. Maximize z= 8x1 +…

A: Problem will be minimize

Q: Subject to: P = 12x₁ + 3x2 + x3, 10x1 + 2x2 + 3x3 7x1 + 3x2 + 2x3 2x1 + 4x2 + x3 X1, X2, X3 < 100…

A: We solve by Simplex method.

Q: Solve the following linear program graphically: Maximize P = 4X1 + 6X2 Subject to X1+ X2 0

A: Given: Maximize P=4X1+6X2Subject to X1+X2≤6          .........1               3X1+2X2≤15…

Q: Q1\B) Find the optimal solution of the linear programming problem: Max P =8X,+5X2 Subject to…

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Q: (A) Using slack variables, determine the initial system for the linear programming problem. (B)…

A: The LPP is: Maximize P=30x1+x2Subject to:4x1+x2≤20x1+8x2≤20x1, x2≥0 To Do:We have to solve using the…

Q: True or False If a linear programming problem has asolution, it is located at a corner point of the…

A: Answer: True.

Q: A workshop that produces two types of chemicals, Article (1) needs 2 km of material B and 3 working…

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Q: = 4x1 + 5x2 %3D Xị + 3x2 < 12 + 2x2 < 12

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Q: Make a linear programming graph from the following LP model and find out the most profitable…

A: We have to solve the given linear programming problem for A and B to maximize the profit using the…

Q: Maximize z=14x, + 3x2 subject to: 7x, + 3x, 58 X1 +3x, 54 X, 20, X2 2 0. with

A: We will be using the simplex method to solve the following system.

Q: Consider the following Linear Programming (LP) problem. max z = 2r1 + x2 - 3r3 + 5x4 T + 2r2…

A: Given: Linear Programming Problem: To find the optimal basis.

Q: Q.2// Give the dual programming from the mathematical model : Max Z = %3D 3x1 + 6x2 s.t. 4x1 + 5x2 <…

A: Here the given problem is                                           Max Z=3x1+6x2…

Q: 1. The program max x1 + 2x₂ subject to 2x1 + x2 x1 + 2x₂ 0. has X* = (1, 1) as an optimal solution…

A: ,

Q: Solve the linear programming problem Maximize 3 x + 5y subject to: x+2ys 10 2x+y=14 X20 y20

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Q: Consider the following linear programming model: maximize z = 2x1 + x2 + 3x3 +7 subject to -2x12x2 -…

A: (a) The given model can be expressed in canonical form as follows:   maximize z = 2x_{1} + x_{2} +…

Q: c) Set up the objective function. d) Suppose that in the optimal solution for this problem, a…

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Q: Consider the following integer nonlinear programming problem. 23 Maximize Z = x₁x2x3, subject to x₁…

A: We have        x1 + 2x2 + 3x3 &lt;= 10     x1 can be atmost 10      X2 atmost be 5       x3 can…

Q: 3.5] olve teach iteration, identify B and Maximize 3 subject to

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Q: Q1/1) what is the general form of linear programming problems. 2) Numerate the functions of…

A: Given: 1) What is the general form of linear programming problems. 2) Numerate the functions of…