Minimize and maximize P= 2x, - 9x2 subject to Xq + X2 s20 5x, + 3x2 2 75 X1,X2 20

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We use partial differentiation technique to maximize the revenue. The solution is explained below.

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: 14. Maximize P = 15x1 + 20x2 %3D subject to 2xı + x2 s 9 X1 + x2 s 6 X1 + 2r2 s 10 X1, X2 0

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

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

A:

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: Q1) Find (optimum solution) that maximum the sum 5X1 + 7X2 subject to the constraints below using:…

A:

Q: Use Lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: To find- Use Lagrange multipliers to find three positive numbers whose sum is 51 and the sum of…

Q: Solve using artificial variables. Maximize z = 3x, + 2x2 subject to: X, + X, = 60 4x1 +2x, 2 140 5x,…

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Q: Use Lagrange multipliers to find three positive numbers whose sum is 30 and the sum of whose squares…

A: We have find three numbers whose sum is 30 and whose squares is as small as possible, by lagrange…

Q: Minimize and maximize z=30x+20y Subject to 3x+y ≥ 36 x+y ≥ 24 x+3y ≥ 30 x, y ≥ 0

A: Given :- Minimize and Maximize  z = 30x +20ys.t.3x +y≥36   x+y≥24 x+3y≥30      x,y≥0

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: minimize Z = 8x, + 2x2 subject to 2x, - 6x2 s 12 5x1 + 4x2 2 40 X1 + 2r, 2 12 X2 S 6 X1, X2 0

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Q: Solve. Maximize P = 4x + 3y, subject to: 3x + 5y ≥ 20 3x + y ≤ 16 – 2x + y ≤ 1 x ≥ 0, y ≥ 0

A: The given linear programming problem is, Maximize P=4x+3y3x+5y≥203x+y≤16-2x+y≤1x≥0,y≥0

Q: 2. Minimize: Z = 20X₁ + 10X₂ + 80X3 Subject to: X₁ + X₂ + X3 ≥ 6 : 2X₁ + 4X₂ + X3 = 20 2X₁ + X₂ ≤ 5…

A: We have to find the solution to the given problem.

Q: 4. Minimize: Z = 3X₁ +5X₂ + 5X3 + 4X4 Subject to: 8X₁ + 2X4 ≤ 100 4X +3X - 90

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: 5x, + 3x2 2x, + 5x2 2 10 3x + x22 6 X + 7x2 2 7 Minimize subject to and x 20, x2 2 0.

A: We use graphical method to solve the given problem Minimize 5x1+3x2 Subject to 5x1+3x2 ≥10   3x1+…

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We have to maximize revenue.

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

A:

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

A:

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: Solve using artificial variables. Maximize z = 3x, +2x2 X, + X2 = 70 4x, +2x2 2 140 5x, + 2x, s 250…

A: Graphical method

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A:

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 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: 4. Maximize Z = 3x1 + 2x2 + x3 Subject to 2x1 +x2 + x3 < 150 2x1 + 2x2 + 8x3 < 200 2x1 + 3x2 + x3 5…

A: maximise Z= 3x1+2x2+x3 subject to 2x1+x2+x3≤150 2x1+2x2+8x3≤200 2x1+3x2+x3≤320 x1,x2,x3≥0 adding the…

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

A: Let us take P = 5x + 5y, now we can form the tables for the constraint inequalities and then solve…

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: maximize p=x1-x2 subject to x1+x2≤4 2x1+7x2≤14 with x≥0 y≥0

A:

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: 1) Maximize z = 4x1 + 2x2 subject to: 2x1 + 3x2 <6 X1 + 3x2 < 4 2x1 + 2x2 <8 X1 20, x2 20 with

A: Here we solve the given problem of LPP by simplex method.

Q: Minimize -z=-8 X1 – 10 X2 -7X3 Subject to XI +3 X2+ 2X3 < 10 -XI -5 X2 - X32 -8 XI, X2, X3 20

A:

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= 40x1 + 50x2 10x1+ x2>=100 5x1 + 15x2>=500 х1, х2>-0

A:

Q: Minimize Z=-x₂ + 2x₂ subject to the constraints and (1-x₂ + 3x₂ ≤9 x.x₂ 20. (11) x₂ + x₂ ≤ 6. (11)…

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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: 2. Maximize : xı+5x2+2x3 X1 +3x2 +x3 < 30 2x1 +x2 2 20 2x1 +2x2 +3xz 2 50

A: Question 2)

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

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Q: Maximize p = 8x + 6y subject to x + y 0 X 2 0, y > 0. p = (x, y) =

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Q: Minimize z = x, + 2x2 Subject to 2x, + 4x, s 160 X1 – Xz = 30 X12 10 X1, X2 2 0

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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

A:

Q: 3. Minimize: Z = 40X₁ + 80X2 + 50X3 Subject to: X₁ + 2X₂ + 3X3 ≥ 18 X₁ + 4X₂ + X3 ≥ 60 2Y 6Y A. Y…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

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

A:

Q: Minimized f(x1, x2) = -2 X1 + x2 Subject to 3x1 + 2 x2 < 2 2x1 – 4x2 < 3 Use Simplex Method to find…

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Q: 2. Minimize: Z 20X1 + 10X2 + 80X3 %3D Subject to: X1 + X2 + X3 > 6 2X1 + 4X2 + X3 = 20 2X1 + X2 < 5…

A: We have to find the solution to the given problem.