Maximize P=2x1+3x2+4x3     subject to x1+x3≤8 x2+x3≤6 x1, x2, x3≥0

Q: olve the following linear programming model graphically: maximize Z = 3x, + 6x subject to

A: In this question, the concept of linear programming is applied. Linear Programming An approach to…

Q: Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 40     2y − z ≥ 10 2x − y + z ≥ 20 x ≥ 0, y ≥…

A: According to the given information, it is required to solve the maximize problem.

Q: (a) Minimize 2x1 +4x2 – 4x3 +7x4 subject to 8x1 2x2 + x3 –- X4 0

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Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

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Q: Maximize p= 2x + 5y subject to 2x + 3y =0, y>= 0

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Q: b. Minimize Subject to: Z = 2x1 + 3x2 4x1 + 2x2 2 20 } E 2x1 + 6x2 2 18 F 1x1 + 2x2 ≤ 12 X1, X2 20…

A: The given linear programming problem is                       Min Z=2x1+3x2 Subject to…

Q: minimize [f1(x) = 5x1 – x2, f2(x) = x1+ 4.x2| subject to -51 + 2.x2 3 X1 + 2x2 > 4 X1, X2 > 0 Draw…

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Q: A decision maker is choosing the levels of two activities, A and B, maximize total benefits under a…

A: A decision maker is choosing two levels of activites .

Q: 1. Maximize: Z = 50X, + 100X; + 150X, Subject to: 2X, + 2X2 s 200 3X, s 150 4X, + 4X3 5 600 X,2 0,…

A: Now we will find the solution using Simplex method

Q: Minimize Z= 8x, + 6x, Subject to: 3x, + 4x, 2 6 5x, + 2x, < 10 x, + 4x, 5 4 x, y 2 0

A: We will find out the required solution.

Q: Maximize P=5x1+6x2+4x3   Subject to: x1+2x2≤6 5x1+3x2+3x3≤24 x1,x2,x3≥0

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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: Maximize p = x + y subject to X + 2y 2 20 2x + 2y 20 X > 0, y > 0.

A: To maximize p=x+y subject to following constraints x+2y≥202x+2y≤202x+y≥20x≥0y≥0

Q: Create a problem and define the decision variables to meet the following LP formulation. A LP model…

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Q: Maximize P subject to the following constraints. P = 3x + 2y     x ≥ 0 y ≥ 0 x + y ≤ 5

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Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

A: Graphical method: -  Step 1: - First we solve the inequality equation, and find the coordinates.…

Q: c) Maximize Z = 3x1+ 4x2+ 2x3 subject to: X1 + 2x2 + 0x3 < 10 2x1 + 2x2 + X3 S 10 X1, X2, X3 2 0 d)…

A: Note: We are entitled to solve one question at a time. As the specified one is not mentioned, So we…

Q: Maximize p = 5x − 4y + 3z subject to 10x + 10z ≤ 100 5y − 5z ≤ 50 10x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥…

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Q: Maximize P=3x1+4x2−5x3   Subject to: 2x1-3x2+2x3≤4 x1+2x2+4x3≤8 x2-x3≤6 x1, x2,x3≥0

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Q: Maximize p = 5x − 4y + 3z subject to 2x + 2z ≤ 100 5y − 5z ≤ 50 2x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥ 0.…

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Q: Create a problem and define the decision variables to meet the following LP formulation. A LP model…

A: Suppose that we need to make three different types of juices with two ingredients in different…

Q: Maximize P = 24x1+ 14x2 0 20x1 + 3x2 subject to

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Q: Maximize P=12x1+3x2+x3, Subject to:  10x1+2x2+3x3 ≤100 7x1+3x2+2x3≤77 2x1+4x2+x3 ≤80 x1,x2,x3≥0

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Q: (a) Maximize z = 2x1 – 4x2 + 5x3 – 6x4 subject to X1 + 4x2 – 2xz + 8x4 0

A: ⊙ Given LPP is Maximize τ = 2x1-4x2+5x3-6x4sub to. x1+4x2-2x3+8x4 ≤2-x1+2x2+3x3+4x4 ≤1Now, we…

Q: Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S…

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Q: 1. Minimize z = 3x, + 4x2 subject to x, + 4x2 > 8 2x1 + 3x2 2 12 2х, + х, 2 6 х, 20, х, 2 0. 2.…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Consider the following Scenario: • Maximize z = 9x1 + 12x2 + 11x3 o Subject to 6x1 + 4x2 + X3 s 20…

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Q: Minimize p = 60x + 80y subject to 20x + 30y >= 900 40x + 30y >= 1200

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Q: Solve the linear program Maximize p = 3x+ 2y Subject to: 3x + y 0

A: Maximize p=3x+2y Subject to: 3x+y≤30x+y≤12x+3y≤30x≥0, y≥0 Now the graph is,

Q: Write the simplex tableau, that should be used to: Maximize P = 5x1  + 2x2 subject to  x1+ 7x2 = 0…

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Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

A:

Q: maximize P=5x1+2x2-x3 x1+x2-x3=0

A: According to the given information, it is required to maximize the given problem.

Q: Maximize and minimize p = x + 2y subject to x + y ≥ 4 x + y ≤ 6 x − y ≤ 4 x − y ≥ −4. Maximum: p…

A: Graphical method to solve a linear programming problem  Replace the ≥,≤ sign to '=' sign in each of…

Q: Maximize P=2x1−3x2+4x3, Subject to: 4x1−3x2+x3 ≤3 x1+x2+x3 ≤10 x1,x2,x3 ≥0

A: The given problem is linear programming problem (LPP). To solve the problem we will use the simplex…

Q: Introduce slack variables as necessary and write the initial simplex tableau for the…

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Q: Which of these coordinate points lies withing the feasible region? *

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Q: 3. Maximize p = x - y subject to 5x · 5y s 20 2х 10y s 40 x 2 0, y > 0. ANSWER ! p= 4; x = 4, y = 0

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Q: Maximize p = 2.1x + 4.1y + 2z subject to 3.1x + 1.2y + z ≤ 5.5 x + 2.3y + z ≤ 5.5…

A: According to the given information it is required to solve the given problem:

Q: Maximize p = 2x + y subject to x + 2y ≤ 12 −x + y ≤ 8 x + y ≤ 8 x ≥ 0, y ≥ 0.

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Q: Which one is the optimal solution of given linear programming model? Max Z = X1 + X2 s.t. 8X1 + 6X2…

A: Given linear programming problem is, Max Z=x1+x2s.t. 8x1+6x2≤24      4x1+6x2≥12                x2≥1…

Q: 2. Minimize z - 6х, + 6х, + 8x, + 9х, subject to X, + 2xz + x3 + x4 2 3 2x, + x3 + 4x3 + 9x4 2 8 X,…

A: Given-  Minimize Z = 6x1 + 6x2 + 8x3 + 9x4subject tox1 + 2x2 + x3 + x4 ≥ 32x1 + x2 + 4x3 + 9x4 ≥ 8x1…

Q: Firm X is fighting for its life against the determination of firm Y to drive it out of the industry.…

A: Substituting the value of XX we get :   Increase price B1 Do not change B2 Reduce price B3…

Q: Maximize P=3x1+4x2−5x3, Subject to: 2x1−3x2+2x3 ≤4 x1+2x2+4x3 ≤8 x2−x3 ≤6 x1,x2,x3 ≥0   and give…

A: Given Maximize P= 3x1+4x2-5x3 Subject to: 2x1-3x2+2x3 ≤4 x1+2x2 +4x3 ≤8 x2-x3  ≤6 x1,x2 ,x3 ≥0

Q: Maximize and minimize p = x + 2y subject to x + y ≥ 4 x + y ≤ 8 x − y ≤ 4 x − y ≥ −4.

A: For solution of this problem we use here graphical method, and fundamental theorem of linear…

Q: Exercise 2. Marginal and Conditional Relationships can be Very Different. For 100 mild cases of…

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Q: Maximize p = x subject to x − y ≤ 4 −x + 3y ≤ 4 x ≥ 0, y ≥ 0.

A: We have,  x - y ≤ 4        and      -x + 3y ≤ 4 x ≥ 0 , y ≥ 0 We will find Maximize p = x by graph…

Q: Maximize p = 6x + 8y + 4z subject to 3x + y + z ≤ 5 x + 2y + z ≤ 5 x + y + z ≤ 4 x ≥ 0, y ≥ 0, z ≥…

A: Given that                       Max p=6x+8y+4z   subject to constraints                     3x + y…

Q: Maximize 3x1+2x2+4x3 subject to  x1+x2+2x3 = 0

A: The given LPP is  Maximize Z = 3x1+2x2+4x3subject to x1+x2+2x3≤42x1+3x3≤52x1+x2+3x3≤7x1,x2,x3≥0 Add…

Q: write the dual to the following  maximize Z=3x1+5x2+4x3 subject to 2x1+x2+4x3/ 0

A: