Find two nonnegative numbers x and y such that xy=72 and 9x+2y is minimized.

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

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Q: Find two positive numbers x and y with xy=81 such that x+4y is minimized.

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Q: Given the LP Model Minimize: z = x - y subject to: 4x – 3y 20 - 3x – 4y < 0 X, y 2 0

A: We will obtain the solution of the LP model using simplex method (Big M) Our Problem is  : MIN Z = x…

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

A: This question is based on Lagrange multiplier.

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

A: Let the function is  f(x, y)=x2+y2g(x, y)=x+2y-20 By using the Lagrange-multiplier method, ∇f(x,…

Q: Find two nonnegative numbers x and y such that xy 56 and 7x + 2y is minimized. y =

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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: Find the maximum and minimum vvalues of f(x,y)=x3+3xy2-3x2-3y2+4

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Q: li'm, n are positive integers and the equations x² + mx + 2n = 0 and x² + nx + m = 0 have real rots.…

A: According to question, Given quadratic equation,x2 + mx +2n =0,andx2 + nx +  m = 0,above  quadratic…

Q: Use the method of Lagrange multipliers to find three positive real numbers, x, y, and z whose…

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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 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 indicated extrema, assuming 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 Minimize…

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Q: Find the values of x, y, z that minimize 3x² + 2y² + z² + 4x + y + 3z, subject to the constraint 4 -…

A: Let fx,y,z=3x2+2y2+z2+4x+y+3z   and    gx,y,z=4−x−y−z≡0Apply Lagrange Multiplier method to find…

Q: Find two nonnegative numbers x and y for which 2x + y = 30, such that xy2 is maximized.

A: Given that, 2x + y= 30 y = 30 - 2x ................... (1) The function is: f(x, y) = xy2  f(x) = x…

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

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Q: 22) Find 2 positive numbers xby WHh xY=50 SUch h that 2x+Y is minimized. Round to neakest tenth.

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Q: Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x,…

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Q: Find positive numbers x and y such that x + y = 48 and 5x2y + 10 is maximized.

A: Given that, x + y= 48 y = 48 - x ................... (1) The function is: f(x, y) = 5x2 y+ 10 f(x) =…

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+…

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3…

Q: Find the absolute maxima and minima of f(x, y) = 3x2 + 10y on the closed triangular region bounded…

A: Consider the equation

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

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Q: Find Positive nombers X$ Y Such that X+y = 78 and 24xy a is maximized

A: To find two positive numbers 'x' and 'y' such that,  x + y = 78     =&gt; y = 78 - x And such that…

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

A: Here, the function to be minimized is f(x,y)=exy subjected to the constraint x2+y2-8=0. If we assume…

Q: . Use the method of Lagrange multipliers to show that for x, y > 0, we have a" +y" > (팔1)" 2

A: We will first try to minimise (xn + yn)/2 using Lagrange multipliers then show that its minimum…

Q: Use the method of Lagrange multipliers to find the point(s) on the curve (y + 2)² – (x – 1)² = 4…

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Q: Use the method of Lagrange multipliers to minimize f (xy) =x² +y² on the hyperbola x-y=1.

A: Given: fx,y=x2+y2 and xy=1

Q: Use Lagrange multipliers to find the maximum and minimum values of f (x, y, z) = x2 + 2y2 + 3z2…

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Q: Consider the following quadratic function: f(θ) = 1/2∑ni=1 wi(θ−xi)2, where x1,...,xn are points in…

A: Given that the function is fθ=12∑i=1nwiθ-xi2 .It is required to find the value of θ minimizes fθ. To…

Q: Find two nonnegative numbers x and y such that xy = 60 and 5x + 3y minimized. x =

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

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Q: Obtain the necessary conditions for the optimum solution of the following Minimize f(x,, x2) = 3…

A: We will use Lagranges multiplier method to find condition for minimization  To minimize f(x,y)…

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

A: here is the solution:

Q: Find x = that minimizes q(x) = x² – xy + y² subject to %3D the condition ||x|| = 1 , %3D

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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 indicated extrema, assuming that x, and y are positive.…

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Q: ý = mx,+ m, X + mgx3+ b Derive the ordinary least square estimate for the intercept.

A: OLSE is used for estimating the unknown parameter in a regression model. It selects the parameters…

Q: Find the values of x and y that minimize 24x2+12xy+4y2+6x−4y+16 subject to the constraint…

A: given fx,y=24x2+12xy+4y2+6x-4y+16 subject to constraint  8x+2y+1=0 let ϕx,y=8x+2y+1 to find  value…

Q: Minimize Z=8x+12y subject to 4x+6y214, 4x+5y9, x>0, y20 M=?

A: Given LPP is Minimize  Z = 8x + 12y Subject to  4x + 6y ≥ 14, 4x + 5y ≥ 9, x ≥ 0, y ≥ 0

Q: Find the maximizer of f(x, y) = x² + y² subject to 2x + y ≤2, z ≥ 0 and y ≥ 0.

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

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Q: Maximize P = xyz with x +y = 12 and z+y = 12, and x¸ y, and z >0.

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Q: Minimize f(x,y,z) = x + 2y + 4z subject to the condition ** +y“ +z* = 7

A: Hello, thanks for your question .According to our policy I m doing the very first question . Please…

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

A: Given;  Minimize :(x, y) =x2+y2 Constraint: x+2y-20=0.

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 find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: Minimize f(x,y)=x2-y2 subject to the contraint 3x-7y=-4 when the minimum occurs, what is  a. x?…

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