Maxcimize and Minimize Z= 2x+9y subject to: 9x +4y 2 36 9x-6y 2 0 y 56 xy20

Q: Use the method of Lagrange multipliers to find the maximum and minimum of the function f(x, y) = y²…

A: Solution is given below:

Q: Solve using the Graphical Method: Minimize z = 3x, + &x2 subject to X1 + x2 2 8 2x, – 3x2 s 0 xị +…

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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 the method of Lagrange Multipliers to find the extreme values of the function f(x,y,z) = xyz on…

A: Function : f(x,y,z)= xyz Constraint : g(x, y, z)= 2xz+ 2yz+ xy=12 Using Lagrange multipliers,…

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 critical points and the relative extrema. f(x,y) = 4x² + 2y² +…

A: We have to find  the critical points and the relative extrema.

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

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

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x² +9y² subject to the…

A: Given , f(x,y)=4x2+9y2Constraint: xy=4 To find :  Maximum and Minimum values of f(x, y) using…

Q: Use Lagrange multipliers to solve                                                           Minimize…

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

A: Given function: fx,y=2x+2xy+y......(1) costraint:2x+y=200......(2) Applying the Lagrange multiplier,…

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

A: As per the company policy I can solve only first question for you, Please repost the remaining…

Q: Minimize Q=6x^2+2y^2​, where x+y=8

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Q: 6. Minimize Z = 20x + 30y %3D asiminiM subject to 2x +y 56 x, y 2 0 7. Minimize

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

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Q: Minimize and Marhnize ニ= 30y + 20y スx+ yZ 3ue * +y Z 28 メ+2y2 32 Suljeat to

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Q: Use the simplex method. Minimize g = 11x + 9y + 12z subject to z 2 7 y + 2z 2 6 x 2 4. х + у + (х,…

A: To solve the given problem we will use the  big M method ( big M method is the standered form of…

Q: Utilize the Lagrange multipliers method to maximize the function f(x, y) = 8x + 18y - 10x2 - 4y2…

A: The given function is  f(x, y) = 8x + 18y - 10x2 - 4y2…

Q: 3. Let a be the number of pills of Palium taken daily and b be the number of pills of Timade taken…

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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: Apply the method of Lagrange multipliers to the function f (x, y) =(x2 + l)y subject to the…

A: Lagrange multiplier method: f(x,y)=(x2+1)y Subject to the constraint g(x,y)=x2+y2-5

Q: Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the…

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Q: Apply the method of Lagrange multipliers to the function f (x, y) = (x² + 1)y subject to the…

A: fx,y=x2+1yand Let gx,y=x2+y2=5 Then,  fx=2xy fy=x2+1 gx=2x gy=2y Thus,  fx=λgx…

Q: Use Lagrange multipliers to maximize f(x, y) = x + 3xy + 4y subject to the constraint 2x + y = 1

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Q: The function f(x.y.z) = 2x+z has an absolute maximum value and absolute minimum value subject to the…

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Q: Use the Lagrange multiplier method to find the values of and y that minimise the function 2x2 + y²…

A: Let us consider the function f(x,y)  To determine the maximum and minimum value of the function…

Q: Rewrite the objective fur Minimize w = 2y1 + 4y2 subject to: y, + y2 2 11 2у1 + Зу2 + Уз222

A: Given,

Q: Use Lagrange multipliers to find the extreme values of f(x, y) = x² – y² subject to the constraint…

A: Given the function fx,y=x2-y2 and x2+y2=1. Let gx,y=x2+y2-1. Find the extreme values of f subsject…

Q: Use Lagrange multipliers to find the extreme values of F(x,y)=x^2-y^2  subject to the constraint…

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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: Use Lagrange multipliers to find the absolute extrema of the function defined by f(x, y) =…

A: We have an objective function fx, y=4x2+2y2+5 and constraint x2+y2-2y=0. Let gx, y=x2+y2-2y. The…

Q: Use the simplex method. Minimize g = 10x + 9y + 12z subject to x + y + z 2 6 y + 2z 2 2 x 2 5. (х,…

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Q: Use Lagrange multipliers to find the absolute extrema of the function defined by f(x,y) = 4x2 + 2y2…

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

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Q: Minimize g = 3x + 4y subject to the constraints

A: The given linear programming problem is minimize g=3x+4y subject to the constraints…

Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the…

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

A: Consider: Minimize f(x,y)=3x+y+10 with respect to constraint x2y=6 that is,g(x,y)=k. Form the…

Q: Minimize D= 10x + 2y subject to 20x + 25y 2 100 12x - 30y <0 x21 x20, y 20 03)

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

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

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Q: maximize f = x + 3y + z subject to x + 4y ≤ 12 3x + 6y + 4z ≤ 48 y + z ≤ 8

A: The given problem is: maximize f = x + 3y + z subject to x + 4y ≤ 12 3x + 6y + 4z ≤ 48 y + z ≤ 8

Q: Use the simplex method to minimize  w=3y1+2y2 subject to:  2y1+3y2&gt;=60 y1+4y2&gt;=40 with…

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Q: Use the method of Lagrange multipliers to maximize the function f(x,y,z)=4x+2y+z subject to the…

A: Let's find.

Q: Use lagrange multipliers to find the max and min values of f(x,y) = 5x-4y subject to the constraint…

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

A: We will use standard method to solve this.

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + = subject to x2 + y…

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Q: Use Lagrange multipliers to find extreme values of x^4+y^4+z^4 subject to the constraint…

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Q: Use Lagrange multipliers to solve Maximize…

A: Consider  fx, y=2x+2xy+y Subject to constraints   2x + y = 100

Q: 28. Minimize and maximize z = 400x + 100y %3D subject to 3x + y 24 x +y 16 x + 3y 2 30 x, y > 0

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

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