Minimize w= 2y1 + Y2 + 4y3 Y1 +Y2 +y3 2 12 The minimum is w= when y, =. y2 =D and Y3 =U (Type integers or simplified fractions.) subject to: 4y1 + Y2 2 49 Y1 20, y2 20, y3 20.

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject…

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

Q: Q1/ Use Lagrange multipliers to find any maximum or minimum volumes: i) z = f(x,y) = 5 – 3x – 4y and…

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Q: Minimize z = 3x + 2y 4y + 5x 2 36 Зу + 2х > 18 Subject to 2y + 2x > 16 Minimum is at y = AL AL AL AI…

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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 + 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:

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Q: Minimize g = 16y, + 47y,+ 6y3 subject to Yi + 3y2 4y1 + 6y2 + Y3 2 3 4y2 + Y3 2 1. (y1, Y2, Y3) =…

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Q: Use Lagrange multipliers to find a relative minimum function value of fif f(x,y,z)= x² + y²+ z² with…

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Q: Minimize z = 3x + 4y 4y + 5x 32 Зу + 2а > 16 Subject to y + x 7 Minimum is at y = * ALALALALAI

A: Please refer to the image below

Q: Maximize and minimize f(x, y, z) 3x + y + 2z subject to 2x + 3y2 + 4z² 210 %3D

A: We have to use lagrange multipliers.

Q: Use Lagrange multipliers to solve                                                           Minimize…

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Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ subject to the given…

A: f(x,y,z)=39x+12y-56z;  x2+y2+z2=19204.

Q: 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 =…

A: The given constraints are  x+y+z≥70, 2x+y≥50, y+z≥50 and x≥0, y≥0, z≥0. Obtain the coordinates x, y,…

Q: Use the simplex method to solve. Minimize w= 6y, +Y2 subject to: 5y, + 5y, 2 25 5y, + y2 2 26 y, 20,…

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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 p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥…

A: We will be solving the given LPP by simplex method writing the problem by adding slack variables…

Q: #5. Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y,z)= x+…

A: Solution: Given fx,y,z=x+y+z Constraints are x2+y2=4        ......(1) x+y+2z=1   ......(2) Suppose…

Q: Minimize c = 9x + 9y subject to x + 2y ≥ 35 2x + y ≥ 35 x ≥ 0, y ≥ 0. c= (x, y)=

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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: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥…

A: Here, There are three variable given in the question and we have to maximize the objective function…

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A: Given:

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: Use lagrange multipliers to find extreme values of f(x,y,z)=x^4+y^4+z^4 subject to the constraint…

A: By using Lagrange's multipliers we have to find the extreme values of f(x,y,z)=x4+y4+z4 subject to…

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

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Q: Maximize p = 2x + 4y + 2z + 4w + 2v subject to x + y ≤ 1 y + z ≤ 1 z + w ≤ 3 w + v ≤ 4 x ≥ 0, y ≥…

A: Given LPP is, Max p=2x+4y+2z+4w+2v Subject to, x+y≤1y+z≤1z+w≤3w+v≤4x,y,z,w,v≥0

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: Minimize z = 4x + y y+ 5x 10 8y + 4x > 40 Subject to y + x Minimum is at AL ALALALAI %3D

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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: Use the method of Lagrange multipliers to find the minimum value of f(x, y) = x2 + 4y² + 2x + 5…

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Q: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥…

A: Given optimization problem is max p=14x+10y+12zsubject tox+y-z≤12x+2y+z≤32x+y≤20x≥0, y≥0, z≥0 Since…

Q: Maximize Z=2x+y; subject to y≤10 2x+5y≤60 x+y≤18 3x+y≤44 and x≥0,y≥0

A: Given: Min: Z=2x+yy≤10…

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: 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: (b) Use Lagrange Multiplier's method to calculate the maximum and minimum values of the function f…

A: The given function is: f(x, y, z)=x+y+zsubjected to constraint:g(x, y, z)=x2+4y2+9z2-36=0

Q: Minimize f(x,y,z) = 3x2+4y2+6z2 subject to the constraint 3x+7y+8z=20. a.) When the minimum occurs,…

A: Given:- f(x, y) = 3x2+4y2+6z2  constraint  3x+7y+8z = 20  To find :-  a.) When the minimum occurs,…

Q: Maximize f 3x +y+ 5z 0, y 2 0, z >0 6x +7y + 8z subject to If no solutions exist enter DNE in all…

A: Maximize f=6x+7y+8z subject to 3x+y+5z≤205x+4y+3z≤182x+5y+4z≤24x≥0, y≥0, z≥0

Q: Maximize p = 3x + 6y + 3z + 6w + 3v subject to x + y < 4 y + z $ 4 z + w S 12 w + v s 16 x 2 0, y 2…

A: To maximize Maximize: p=3x+6y+3z+6w+3vSubject to:x+y≤4y+z≤4z+w≤12w+v≤16x,y,z,w,v≥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 f(x,y,z) = 3x2+4y2+6z2 subject to the constraint 3x+7y+8z=20. a.) When the minimum…

A: Given that , fx,y,z=3x2+4y2+6z2 and gx,y,z=3x+7y+8z-20 According to our guidelines , We can answer…

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

A: The given minimization problem is Min C=x-2y+z subject to x-2y+3z≤302x+y-2z≤452x+y+3z≤60and x, y,…

Q: Use Lagrange multipliers to find the indicated extremum. Assume that x and y are positive. Minimize…

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Q: Minimize z = x + 4y Зу + 4x > 24 Зу + 2х > 16 Subject to 2y + 2x > 14 Minimum is at y = AI AL AI

A: The given problem is a linear programming problem. We are using the graphical method to solve. The…

Q: 5. Use Lagrange multipliers to minimize the function (x. y, z) =x² +y" +z" subject to the following…

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