Find the maximum of v = xyz subject to the constraint 6x+4y+3z-24=0.

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=2x−4y subject to the…

A: Given a function : f(x,y)=2x-4y subject to the constraint (say g(x, y)) : x2+3y2=84 We have to use…

Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x 2 + y2 + z2 = 9 and ¼x2…

A: Let’s define g(x, y, z) = x 2 + y2 + z2 - 9 and h(x, y, z) = ¼x2 + ¼Y2 + 4z2 - 9 So the problem is…

Q: Fincl extreme of the value fray2of fouy2-2xy Subject to the constraint

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Q: Find the maximum value of z =12x+9y subject to the constraints 4x+3y ≤36 8x+3y ≤48 x≥0, y 20

A: Given the objective function Maximize Z= 12x+9y. subject to  4x+3y≤368x+3y≤48x,y≥0 use the graphical…

Q: Find the maximum values of f(x,y) = 81x² + y² subject to the constraint 4x? +y² = 1 (Use the…

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Q: Find the maximum value of Z = 2x + 3y subiect to the constraints : x +y < 30, y 2 3, 0sy s 12, x -y…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(z, y) = 4r² + y² subject the…

A: Given,           f(x,y) = 4x3 + y2  -1           Constraint : 2x2+y2=1 -2

Q: Find the minimum and maximum of f(x, y, z) = x² + y² + z² subject to two constraints, x + 2y + z = 1…

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Q: Find the minimum and maximum values of the function f(x,y)=x^2y+x+y subject to the constraint xy=3.

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Q: Find the minimum value of  z = 6x2 + y2 − xy  subject to the constraint  2x + y = 12.

A: Use Lagrange theorem

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

A: The given function is; f(x,y)=2x+2y and the given constraint is ; 9x2-9xy+9x2=16.

Q: Determine the maximum value of f (x, y) 2.x! 2x1/4,3/4 subject to the constraint g(x, y) = x+ 3y – 4…

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Q: Find the maximum value of Z = 2x + 3y subiect to the constraints : x +y < 30, y 2 3, 0sy s 12, x - y…

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Q: The function ​f(x,y)=5xy has an absolute maximum value and absolute minimum value subject to the…

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Q: Find maximum and minumum values of f(x, y, 2) = 7x – 14y + 35z subject to the constraint z? + y² +…

A: Use Lagrange multipliers and find maximum, minimum value.

Q: Use the method of Lagrange Multipliers to find the maximum value of f(x, y) = 4x2y subject to the…

A: To find the maximum value of f (x, y) using Lagrange multipliers method.

Q: Find the minimum value of z = 4x2 + y2 − xy subject to the constraint 4x + y = 8. z =

A: Answer

Q: Find the maximum and minimum values of x2 + y2 subject to the constraint x2 - 2x + y2 - 4y = 0.

A: Given

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: Find the maximum of f (x, y, z) = xyz subject to the constraintg(x, y, z) = 2x + y + 4z = 1.

A: Let us assume  fx,y,z=xyz and gx,y,z≡2x+y+4z−1=0Using lagrange multiplier…

Q: The maximum value of the function U(x, y, z) = 5 ln a + 8 ln y +17 In z, subject to the constraint…

A: We have to solve the maximum value of U(x,y,z).

Q: Consider the equation z = 32x0.°y04 where z, z, y represent the total production, labor input and…

A: Formula used: The equation to be solve by using Lagrange's multiplier method for solving constraint…

Q: Find the minimum and maximum values of the function f (x, y, z) 3x + 2y + 4z subject to the…

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Q: Find the minimum value of w = x2 + y2 + z2 subject to the constraint x + y + z = 9. w =

A: Answer

Q: Use Lagrange multipliers to find the minimum value of f(z,y) 2+2y subject to the constraint ry= -…

A: Given: f(x, y)=x2+2y2 and g(x, y)=xy-2

Q: Find maximum and minumum values of f(x, y, z) = 6x – 12y + 30z subject to the constraint x2 + y? +…

A: We will use the Lagrange's multiplier to to find the minimum and maximum of the solution when the…

Q: Find the maximum possible value of f = 400x +300y and the values of x and y that give that…

A: The given LPP: maximize  f=400x+300ysubject to,3x+2y≥62x+y≤7x, y ≥0 Sketch this region and locate…

Q: Find the minimum value of the function f(x, y, z) = x² + y² + z² subject to the constraints x + 6y +…

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Q: Find the maximum and minimum of the function f(x,y) : 1 subject to the x² + 2y² constraint x* +2x²y²…

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Q: Find the maximum and minimum of f(x, y) = xy subject to the constraint 4x + y = 72

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Q: Find the minimum value of f(x,y,z) = x 2 + y 2 + z2 subject to two constraints, x + 2y + z = 3 and x…

A: fx,y,z=x2+y2+z2 Lets solve using substitution method- x-y=4⇒x=4+y…

Q: Find maximum and minumum values of f(x, y, z) = 2x – 4y + 10z subject to the constraint x? + y? + z2…

A: Z27272

Q: Find the maximum and minimum values of f (x, y) = xy subject to the constraint 4x + y = 8.

A: We have to find the maximum and minimum values of  the function.

Q: Find the maximum value of Z = 2x + 3y +y< 30, y 2 3, 0<ys 12, x – y 2 0, and 0<x < 20. subiect to…

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Q: . Find the maximum and minimum value of f (x, y) = ry for the constraint 4.2 + 9y2 = 32. %3D

A: To find maximum and minimum of function f(x,y) = xy for the constraint  4x2 + 9y2 = 32.

Q: Calculate the minimum value of f (x,y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x - 3y - 4z =…

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Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

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Q: Find the maximum and minimum values of the function z = 2x – y subject to the constraints x + y 0 y…

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Q: Consider the function f(x, y) = &x² – 8y² subject to the conditionx? + y² = 9. Use Lagrange…

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Q: Find the maximum value of P = xy subject to the constraint 2x + y = 5

A: Given Data: Equation 1: P=xy Equation 2: 2x+y=5   Solve equation (2) for y. 2x+y=5y=5-2x…

Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint 2 + y² + z²…

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Q: Find the maximum of V = xyz subject to the constraint 6x+4y+3z-24=0

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Q: Find the minimum and maximum values of the function subject to the constraint. f(x, y, z) = 3x + 2y…

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Q: Find the maximum value of the function f(r, y) = x²y subject to the constraint z² +y= 5. %3D

A: We will find maximum value by using Lagrange multipliers.

Q: Use Lagrange multipliers to find the maximum and minimum values of f (if they exist) subject to the…

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Q: Find the maximum and minimum values of f(x, y) = 4x2 + y2 subject to the constraint x2 + 4y2 = 16.

A: The given constraint equation is: x2+4y2=16     ...(1) Consider g(x,y)=x2+4y2-16 And the function…