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

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

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Q: At which point is z = 3x + 4y is minimized with respect to the feasible region described below -3x +…

A: We have to minimize Z = 3x +4y, -3x+y≤0-3x+y = 0 x 0 0 y 0 0

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

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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.…

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Q: Use Lagrange multipliers to find the maximum value of f(x, y, z)= xyz where x >0, y>0 and z>0,…

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Q: minimize Z - 3x, + 6x2 pubject to 3x, + 2r, s 18 X + x2 2 5 XI 54 x2/x, s 7/8 X1. X2 2 0

A: The step-wise graph is drawn and shown below follow these to reach the answer.

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

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Q: Find the dual of the following LP problem (do not Solve): Minimize W = 5y, + 7y2 + 6y3 + 4y4 s.t. Yı…

A: Given: Minimize W=5y1+7y2+6y3+4y4 Subject to the constraints y1+2y2      +y4≥4y1+y2+2y3      =-1…

Q: Use Lagrange multipliers to find any extrema of the function f(x, y) = e−xy/4 subject to the…

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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: Let z = x-y6-4x, x = uv and y = v-3u. Compute dz Fluv)=(-1,-1) dv a)-324 b)-328 c)248 d)312 e)316

A: Solution is given below in details:

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 technology to minimize the following: Minimize g = 12yı + 5y2 + 8y3 subject to 2y1 + y2 + 4y3 >…

A: Here we minimize g.  And we use here simplex method.

Q: Find the optimal solution for the following pr Minimize C = 16x + 21y + 9z subject to 13x + 15y +…

A: Given,    Minimize C =16x+21y+9zSubject to               13x+15y+22z≥57…

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

A: Let the two non negative numbers be x and y Given xy=72 Therefore, y=72x Sum of two positive numbers…

Q: Find the positive number r such that the sum of a and its reciprocal is minimized. 1 (For example,…

A: Given: The positive number x such that the sum of x and its reciprocal , Consider a function,…

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.…

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

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

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Q: Find the least square line y = f(x) = Ax + B for the following data. Xk -2 -1 0 1 2 1 Ук 2 3 3 4 8

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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: 3,3 Solve by greaphing A. Minimize C=10 x +15y X +y <10 3x +y Zld s,t. +3y x20, y 20 -2x Z3

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

A: Given: fx, y = 2x +y,  constraint : xy = 32 x and y are positive. To find: Extrema of the given…

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

A: We have to minimize the given function.

Q: Use the method of Lagrange multipliers to find the absolute extrema of f if f (x, y, z) = x2 + y? +…

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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 find the point(s) on the curve (y + 2)² – (x – 1)² = 4…

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Q: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize  S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

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

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

A: Given ,  Linear programming problem Maximize and Minimize Z = 2x + 9y  Subject to :  9x + 4y ≥ 36 9x…

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. Minimize…

A: here is the solution:

Q: Consider the optimization problem in R?: f (x, y) = |3x + y| subject to: g(x, y) = (x+ 2)2 + (y –…

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Q: Minimize the function f(x, y, z) = x² + y² + z² subject to the constraint 6x + 12y + 12z = 54.…

A: We solve by the method of Lagrange  Multipliers

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: minimize z -y+: subject to: r-y22 I- 2y <1 2 is unrestricted.

A: Given that min x-y+zs.t    x-y≥2       x-2y≤1       y+z≤1x,y≥0 and z isunrestricted

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

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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 technology to minimize the following: Minimize g 11yı + 9y2 + 10y3 subject to 3yı + 5y2 + 2y3 >…

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

A: Given that fx, y=x2+y2           Subjected to : gx,y=2x+4y-15=0 So, Consider auxiliary function.…