Minimize w=2y, +y2 + 3y, The minimum is w= when y, =.2 = and y, = (Type integers or simplified fractions.) subject to: Y, +Y2 +Y3 2 10 3y, +Y2 Y, 20, Y2 20, Y3 20. 240 with

Q: 1. Shade and label the feasible region R which satisfies: y<-x+6 3 y2-xーニ 2 1 2 y< 2x+4 y54 [5M]

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Q: Find the minimum value of W= x^2 + y^2+z^2 subject to the constant x+y+z=15 W=

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

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

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

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Q: Applying Lagrange Multiplier, what is the minimum value of f(x, y) = x² + y2 where x > 0 and 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 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: 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: 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 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: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

A: Solution :-

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

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

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Q: Let æ and y be positive numbers such that a+y 21. Find the values of x and y that minimize 3x +y.…

A: We will solve the given problem using Lagrange Multiplier Method.

Q: Maximize and minimize p = x + 2y subject to x+ y2 2 x+ys8 x-ys2 x- y2 -2. Minimum: p = (x, y) =…

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Q: Find the minimum value. Minimize C= 10x, + 16x2 - 5x3 X, + 3x2 54 4x2 + X3 s2 subject to X1, X2, X3…

A: The problem is converted to canonical form by adding the slack, surplus and artificial variables as…

Q: Minimize c = 5x + y + 2z subject to x + y + z ≥ 90 2x + y ≥ 80 y + z ≥ 80 x ≥ 0, y ≥ 0, z ≥ 0.

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

Q: Find the minimum value. Minimize C= 10x, + 10x2 - 5x3 X1 + 3x, s7 4X2 + X3 s6 subject to X1, X2, X3…

A: According to the given information, it is required to find the minimum value occurs at  x1, x2, x3.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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

Q: Minimize g=10x+9y Subject to 4x+y≥19   2x+y≥13 x+4y≥24 x≥0 y≥0 What is the minimum value and at…

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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: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80 2x + y ≥ 50 y + z ≥ 50 x ≥ 0, y ≥ 0,…

A: To solve the given linear programming problem: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80…

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

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Q: Maximize p = 7x + 5y + 6z subject to x + y – z s 12 x + 2y + z 0. (х, у, 2) -(| %3D

A: When a LPP involves more than two variables, the solution for the LPP cannot be found using…

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

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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: 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: Jse Lagrange multipliers to find the maximum and minimum values of the unction below subject to the…

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Q: Maximize P = xyz subject to x + z = 12, y + z = 12, x ≥ 0, y ≥ 0, and z ≥ 0

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = x2 + y? subject to ry =…

A: Given function is fx,y=x2+y2 and constraint is xy=1

Q: Minimize w= 2y1 + Y2 + 4y3 Y1 +Y2 +y3 2 12 The minimum is w= when y, =. y2 =D and Y3 =U (Type…

A: The given simplex problem is given as: minw=2y1+y2+4y3Subject to:y1+y2+y3≥124y1+y2     ≥49with…

Q: Use Lagrange multipliers to find the minimum and maximum of the given function f(x,y) subject to to…

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

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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: Find the extreme values ​​of the function f under the constraint (x^2)/4 + y^2 = 1 by Lagrange…

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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: Use Lagrange multipliers to solve the given optimization problem. Find the minimum value of f(x, y)…

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.