Minimize c = 4x + y + 5z subject to x + y + z 2 70 2x + y 2 50 y + z2 50 x 2 0, y 2 0, z 2 0. C = (х, у, 2) %3D

Q: Maximize p = 4x + 3y subject to −3x + y ≥ 17 x + 5y ≤ 19 x ≥ 0, y ≥ 0. p= X,Y=

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Q: Use Lagrange multipliers to identify the critical points of the function:  f (x, y, z) = 3 − x2 −…

A: Given function is fx,y,z=3−x2−2y2−z2 subject to constraint 2x+y+z=2. We have to determine the…

Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

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Q: Minimize g = 9x + 8y + 12z subject to x + y + y + 2z 2 8 X 2 3. (x, y, z) = =

A: Given LPP is, Min g9x+8y+12zSubject to, x+y+z≥7     y+2z≥8             x≥3 W e can use simplex…

Q: Maximize p = 7x + 5y + 6z subject to x + y - z s 12 x + 2y + z s 32 x + y s 20 x 2 0, y 2 0, z 2 0.…

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Q: Minimize z = 3x + 5y 2y + 3x > 16 4y + 3x 24 Subject to 2y + 2x > 14 Minimum is at y = నా IV IV IV…

A: Plot the feasible region:

Q: Minimize f(x,y,z) = x² + y° + subject to the constraint that x +y+z - 9 = 0

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Q: Minimize c = x + y subject to x + 3y ≥ 4 3x + y ≥ 4 x ≥ 0, y ≥ 0.

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Q: Minimize c = x + y + z + w subject to 5х - у + w 2 9,000 z + w s 2,000 x + y 300 x 2 0, y 2 0, z 2…

A: The given problem is:

Q: Minimize f(x,y,z) = x² + y+z subject to the constraint that x+y+z-9 = 0 + z* subject to the…

A: by using lagrange multipliers  methood

Q: Use Lagrange multipliers to solve                                                           Minimize…

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Q: Minimize C= 3x + 7y subject to x +3y >= 15                   4x + y >= 16                  X>=0,…

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Q: Q.2 Use Lagrange multipliers to find extreme values of f(x, y, z) = x* + y* +z* subject to the…

A: Given function is fx,y,z=x4+y4+z4 subject to constraint x2+y2+z2=1

Q: Minimize Q=6x^2+2y^2​, where x+y=8

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Q: 2. Use separation of variables to solve (a) y' = -2y, y(0) = 1 (b) 4y' = y², y(0) = 4 %3D (c) y' + y…

A: Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Minimize c = r + 2s + 3t 3r + 2s + t > 60 Subject To: 2r + 3t > 60 And Where: {r > 0, s > 0, t > 0}…

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

Q: Minimize the function ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints x + 2y + 3z = 6 and x +…

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Q: Minimize ƒ(x, y, z) = xy + yz subject x2 + y2 - 2 = 0 and x2 + z2 - 2 = 0.

A: We will make use of the method of Lagrange Multiplier. Please see the primer below:

Q: Use the technique developed in this section to solve the minimization problem. Minimize C = 10x + y…

A: Given LPP is Minimize  C = 10x + y subject to   4x + y ≥ 24x + 2y ≥ 20       x ≥ 2x ≥ 0, y ≥ 0

Q: Use the technique developed in this section to solve the minimization problem. Minimize  C = 10x +…

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Q: Maximize p = /x + 5y + 6z subject to x + y - z s 12 x + 2y + z 0. p = (х, у, 2) %3D (|

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Q: Minimize c = x − 4y subject to 3x + y  ≥  5 2x − y ≥ 0 x − 3y ≤ 0 x ≥ 0, y ≥ 0.

A: PROBLEM HAS AN UNBOUNDED SOLUTION

Q: Maximize p = 3x + 6y + 3z + 6w + 3v subject to x + y < 2 y + z < 2 z + w < 6 w + v s 8 x 2 0, y 2 0,…

A: Here we need to maximize the function. We will find the solution by BigM method.

Q: Appropriate form of particular solution of y(4) – y(3) = e3x +x is %3D (a) yp = Ae3x + Bx* + Cx³ +…

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Q: Minimize c= x + y + z + w Subject to + w > 2,000 + w 0, w 2 0. p = (х, у, z, w)

A: (1).

Q: Maximize p = 14x + 10y + 12z subject to x + y - zs 12 x + 2y + zs 32 x + ys 20 x2 0, y 2 0, z 2 0. p…

A: the given constraints are  x+y-z≤12x+2y+z≤32x+y≤20 adding the slack variables…

Q: Use the two-stage method to solve the problem below. w%3D 12y1 + 30y2+51у3 Minimize subject to 2у1 +…

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Q: Maximize p = 6x + 8y + 4z subject to Зх + y + z 0, z > 0. p = (х, у, 2) %3D

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Q: Maximize p = 4x + 5y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0 p= x,y,z=

A: x,y,z= 0,150,0 p= 750 Normally these methods are solved by simplex methods but this question can…

Q: subject

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Q: Minimize c = 12x + 12y subject to x + 2y ≥ 14 2x + y ≥ 14 x ≥ 0, y ≥ 0. p= x,y=

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Q: Maximize p = 14x + 10y + 12z subject to x+ y -zs3 x+ 2y +zs 8 x+ ys 5 x 2 0, y 2 0, z2 0. P = (x, y,…

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Q: min (Z = 4x? + 2x? + x} – 4x1x2} s.t. X1 + x2 + x3 = 15 2x1 – X2 + 2x3 = 30 Use Lagrange multipliers…

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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: Minimize c = 4x + y + 2z subject to x + y + z ≥ 100 2x + y ≥ 80 y + z ≥ 80 x ≥ 0, y ≥ 0, z ≥ 0. p=…

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Q: Minimize c = 43x + 43y + 11z subject to 2x + z 2 3 2x + y - z 2 2 3x + y - zs 3 x 2 0, y 2 0, z 2 0.…

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Q: Solve applying the simplex method to the dual problem Minimize C= 6y, +8y, +12y, Subject to y +3y,…

A: Step:-1 Given primal problem is Minimize   C=6y1 +8y2 +12y3subject…

Q: minimize subject to (xyz)-¹ x + 2y + 2z ≤ 72 x, y, z 20

A: Since you have posted multiple questions, we will solve only the first question for you.

Q: maximize p:6x+y +32 subiect to 3xty <15 2x+2yt22=20 Y-0 7:0

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Q: Maximize p = 5x – 4y + 3z subject to 2x + 2z s 100 5y - 5zs 50 2x 5y s 50 x 2 0, y 2 0, z z 0. (x,…

A: Given problem: Max p=5x-4y+3z subject to 2x+2z≤1005y-5z≤502x-5y≤50x≥0, y≥0, z≥0 By introducing slack…

Q: minimize z -y+: subject to: r-y22 I- 2y <1 2 is unrestricted.

A: Given that min x-y+zs.t    x-y≥2       x-2y≤1       y+z≤1x,y≥0 and z isunrestricted

Q: Minimize c = 8x + y subject to 10x + 20y ≥ 100 0.8x + 0.1y ≥ 2 x ≥ 0, y ≥ 0

A: minimize c=8x+ysbuject to constraint10x+20y≥1000.8x+0.1y≥2x≥0, y≥0

Q: Minimize c = x + y + z + w subject to + w 2 7,000 z + w< 2,000 5х - у x + y 600 x2 0, y 2 0, z 2 0,…

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Q: Minimize c = 2x + 2y + 3z subject to + z2 180 2 90 y + z2 90 x 2 0, y 2 0, z20. 2x + y (x, y, z) =

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Q: Minimize c = x+y+z+ w subject to 5x - y + w ≥ 4,000 z + w≤ 3,000 x + y s 700 x ≥ 0, y ≥ 0, z ≥ 0, w…

A: Min c=x+y+z+w5x-y+w≥4000       z+w≤3000x+y    ≤700x≥0,y≥0,z≥0,w≥0

Q: Minimize c = 48x + 48y + 14z subject to 2x + z ≥ 3 2x + y − z ≥ 2 3x + y − z ≤ 3 x ≥ 0, y ≥ 0, z ≥…

A: I have solved using simplex method in MATLAB  its difficult to show 4 iterations  I have clearly…

Q: Maximize p = 4x + 6y + 2.2z + 8w subject to ws 40.5 w2 10 1.2x + y +z+ 2.2x + y -z- 1.2x +y +z+…

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Q: Minimize: z = 4x + 8y subject to: х + 1.5у 2 45 2х + 0.5у > 40 х +у < 40 х, у 2 0

A: We are given a Linear Programming problem : z=4x+8ySubject to contraints…

Q: Minimize c = x + y subject to x + 2y 2 3 2x + y2 3 x 2 0, y 2 0. (x,y) %3D

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Q: minimize c = 38x + 38y + 11z subject to 2x+z≥4 2x+y-z≥1 3x+y-z≤2 x≥0, y≥0, z≥0

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