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

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

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

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

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Q: 1. Maximize : x1+5x2– x3 xị +x2 2 18 2x1 +x2 +x3 < 40 X1 +x3 2 20

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: minimize Z - 3x, + 6x2 pubject to 3x, + 2r, s 18 X + x2 2 5 XI 54 x2/x, s 7/8 X1. X2 2 0

A: The step-wise graph is drawn and shown below follow these to reach the answer.

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: Use Simplex method to Maximize Ζ = 4x1 +10x2 Subject to  2x1 + x2 ≤ 50                    2x1 +…

A: Solution

Q: Use Lagrange multipliers to find three positive numbers whose sum is 18 and the sum of whose squares…

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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: Set up the simplex tableau. Do not solve. Maximize z = 145x1 + 230x2, subject to 85x1 + 64x2 < 560…

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

A: We have to maximize revenue.

Q: Maximize : P=25x +30y Subject to : 3x -2y < 0 ys 3 x + y 2 5 X-ys5 x 2; y 2 0

A: Given:        P = 25x  +30y       3x- 2y ≤ 0    y ≤ 3x + y ≥ 5x - y ≤ 5 x ≥0 ; y≥0

Q: 3x + 8y ≤ 32 6x + 4y ≤ 34 x ≥ 0, y ≥ 0.

A: P=15.5 (x,y)=(5.67,0)

Q: Minimize ƒ = x² + x² +60x, subject to the constraints 8₁x₁-8020 8₂x₁+x₂-120≥0 using Kuhn-Tucker…

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

A: Find the solution

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

A: The given LPP is  Minimize Z=3X1+5X2+5X3+4X4subject to 8X1+2X4≤1004X2+3X3=90X1,X2,X3,X4≥0 Add the…

Q: Maximize Z = 19x1 + 8x2 subject to 9x1 + 16x2 0

A: Consider the given problem.

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

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

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Q: 4. Maximize : Z =10x+30y Subject to: 2x+ y 2 16 x+y <12 x+2y 214 х, у 20

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Q: Maximize p = 9x + 6y subject to x + 3y ≥ 6 −x + y ≤ 4 2x + y ≤ 8 x ≥ 0, y ≥ 0.

A: Max P=44 at (x,y)=(1.33,5.33)

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

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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

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

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Q: Maximize  p = x − 3y subject to   2x  +  y ≥ 8     y ≤ 7 x ≥ 0, y ≥ 0     (x,y) =

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

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Q: Maximize 14x – x^2 + 6y – y^2 + 7 subject to x + y <= 2, x + 2y <= 3.

A: Maximize z=14x-x2+6y-y2+7 Subject to, x+y≤2x+2y≤3 The graph is,

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

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Q: Maximize x2 - y2, subject to the constraint 2x + y - 3 = 0.

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Q: 5x + 12x2 XI - x2 3 -XI + 2x2 < -4 10. Maximize subject to and xi 2 0, x2 2 0.

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Q: Maximize p = 5x + 7y + 6z subject to x + y + z 100 x 2 0, y 2 0, z > 0. p = (х, у, 2) 3

A: The given constraints are, x+y+z≤150, x+y+z≥100 and x≥0, y≥0, z≥0. Obtain the coordinates x,y,z…

Q: Maximize z = 18x1 + 16x2 Subject to 15x1 + 25x2 < 375 24x1 + 11x2 < 264 X1, X2 2 0 ard

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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…