Maximize P= 3x, + 3x2 + 4x3 subject to X1 + 2x2 + X3 s 35 2x1 + X2 + 2x3 s 100 X1 + 2x2 - X3 2 15 X1. X2, X3 2 0

Q: Solve using the simplex method. Maximize P=4x, +2x, +3x, Subject to x +x, + x; <11 2x, +3x, +x, < 20…

A: Given problem is, Maximize  P=4x1+2x2+3x3Subject to x1+x2+x3≤112x1+3x2+x3≤20x1+3x2+2x3≤20x1,x2,x3≥0…

Q: Maximize P= 7x+9y Subject to: 2x+ y12 x, y 20

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Q: Maximize p = 5x – 4y + 3z subject to 10x + 10z 0. p= (х, у, 2)%3D

A: Here we use simplex metod.

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

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

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

Q: Maximize z = 15x + 15y Subject to 10x + 8y z 190 10x - 14y 2 - 30 x+y s 45 X, y z 0

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Q: Minimize p = -2x + 4y subject to ( 2x + 3y 2 30, x - y 0, y > 0.

A: Given the LPP problem:                                  Min.p=-2x+4y     2x+3y≥30       x-y≤15…

Q: Maximize p = x + y subject to x + 2y 0, y > 0. P = 12 (x,y) = 6,0 %3D

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Q: 2. Minimize Z = 4X1 + 4X2 + 2X3 Subject to X1 + 3X2 +6X3 >= 400 2X1 +6X2 + 4X3 >= 350 2X1 + 8 X2 + 5…

A: The LPP is solved using excel solver and all the steps are mentioned.

Q: Maximize p = 6x + y + 3z subject to 3x + y < 15 2x + 2y + 2z < 20 x 2 0, y 2 0, z 2 0.

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Q: Maximize and minimize p = x + 2y subject to x + y > 2 x + ys 10 х — уs 2 х — у2 -2.

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Q: Minimize f(x1,x2) = 2x1 + 3x2 – xỉ – 2x3 subject to x1 + 3x2 <6 5x1 + 2x2 < 10 X1,X2 2 0

A: In this question, we have to solve the non-linear programming by using the KKT conditions. min…

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: Maximize P = 10x1+ 2x2 subject to X1+ x2 0

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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 and Minimize P=2x+y Subject to x+y&lt;or= 5                     -x+3y&lt;or=3…

A: To determine: Maximize and Minimize:

Q: Maximize p = 14x + 10y + 12z subject to x + y - z3 3 x + 2y + z s 8 x + y < 5 x2 0, y 2 0, z 20. p =…

A: Given problem is MAX  p = 14x + 10y + 12zsubject tox + y - z ≤ 3x + 2y + z ≤ 8x + y ≤ 5x≥0, y≥0, z≥0…

Q: Maximize f(x₁, x₂) = x₁ + x2 use of simplex method and it subject to: X₁ + 2x₂ ≤ 10 2x₁ + x₂ ≤ 10 x₂…

A: We have given LPP problem, max fx1, x2 = x1+x2x1+2x2≤102x1+x2≤10x2 ≤ 4x1, x2 ≥ 0 We need to use…

Q: Maximize Z= 5 X1 + 10X2 Subject to 3 X1 +6 X2 0

A: Find the solution

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 Z = 20x1 + 8x2 subject to 16x1 + 8x2 0 %3D

A:

Q: Maximize Z = 2x1 + x2; Subject to x2 ≤ 10 2x1 + 5x2 ≤ 60 x1 + x2 ≤ 18 3x1 + x2 ≤ 44 and x1 ≥ 0, x2 ≥…

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Q: Maximize z = 3x1 + 4x2 Subject to x1 + x2 ≤ 4                   2x1 + x2 ≤ 5                   x1 ≥…

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Q: Introduction to Lincar Progromming (a) maximize 3r, +22 subject to 2r- 2 2, I +2r S8. " 20.

A: Note: as per our guidelines we are supposed to answer only one question if there are multiple…

Q: Maximize P=5x-5y   subject to 2x+y≤30 x+2y≤24 x,y≥0

A: We can use the graphical method to find the maximum value of P for this linear programming problem.

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

A:

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

A:

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: Maximize P = 4X, + 2X2 Subject to X1 + 2X2 <6 (machine time) 2X1 + 2X2 <8 (labor) where X1, X2 20

A: Solution is as:

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: Maximize Z = 2x1 + x2 – 2x3 - Subject to -2xı + x2 + x3 2 -2 - x1 + x2 - x3 2 –4 X1 +x2 + 2x356…

A: Given: Maximize Z=2x1+x2-2x3 Subject to constraints -2x1+x2+x3≥-2        ......(A) -x1+x2-x3≥-4…

Q: Maximize z = 2x1 + x2  subject to: x1 + x2 ≤ 71  3x1 + x2 ≤ 175   x1 ≥ 0, x2 ≥ 0

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Q: Maximize p = x + y 2x + 3y 0, y > 0} VI VI VI

A: Given Data: Equation 1: 2x+3y≤60 Equation 2: 2x+y≤28 Equation 3: 4x+y≤48 And x≥0 x≥0 Maximize: p=x+y…

Q: Minimize p = 4.x – 2y subject to 3x + 2y > 30, |-x + y 0, y > 0.

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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: LP Model: Maximize z = 120x1 + 100x2 subject to: 10x1+5x2<80 6x1 + 6x2 < 66 4x1 + 8x2 2 24 x1, x2 2…

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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: Maximize 2x1 + x2 – 3r3 + 5x4 subject to xi + 2r2 + 2r3 + 4x4 < 40 2x1 – r2 + 13 + 2x4 < 8 4x1 – 2x2…

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Q: Maximize P = 18x1 +X2 2x1 +X2 54 X1 + 8x2 54 X1, X2 20 subject to

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Q: Maximize p = x subject to X - y<4 —х + Зу < 4 x 2 0, y 2 0. p = (х, у) %3D

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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: Minimize p=2x+2y subject to xy=100

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Q: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

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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   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 z = 5x + 6y %3D subject to: 3x + 2y s 12 x +2 y < 8 y 2 0

A: See attached file for a step by step explanation.

Q: Maximize Z 5.0 X1 + 6.0 X2 !! S. t. 2 X2 $ 16 3 X1 15 X2 S 0 -4 X1 3 X1 2 X1 3 X2 4 X2 O X2 Ś 12 3…

A: Follow the procedure given below.

Q: g model graphically: maximize Z = 4x1 + 5x2 subject to X1 + 2x2 < 10 6x1 + 6x2 < 36 X1 54 X1, X2 20

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Q: Maximize P = 2x + 6y subject to x + 2y s 8 2x + ys 10 x, y 2 )

A: