Find the values of x, y that maximize 7. - 2x? - 2xy - +x+ 9y 13 subject to the constraint x+ y - =0. 2

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 maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x? +y² + z²…

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Q: The minimum value of J.y,Z) = 6x - y – óZ subject to the constraints *+y -Z=0 and ? + 2? = 1 is?

A: Given,          The minimum value of fx,y,z=6x-y-6z subject to the constraints x+y-z=0 and x2+2z2=1.

Q: A consumer can spend £1280 on two goods x and y, costing £12 and £16 per unit respectively. His…

A: This is a problem of optimization.

Q: Find the values of x, y that maximize 6. – 2x² – 2xy - y + 2x + 9y 2 11 subject to the constraint…

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Q: 8) Maximize the function f(x, y) = 16-r² - y² subject to the constraint x + y = 6

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Q: Use the method of corners to find the point(s) that maximize the objective function P-3x+y given the…

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Q: Find maximum and minumum values of f(x, y, z) = 9x – 18y +45z subject to the constraint x? + y² + z²…

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Q: Find the values of​ x, y, and z that maximize xyz subject to the constraint 192−x−8y−16z=0.…

A: Use the lagrangian's multiplier  xyz+λ192-x-8y-16z Partially differentiate with respect to x, y, z…

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: Maximize the function ƒ(x, y, z) = x2 + 2y - z2 subject to the constraints 2x - y = 0 and y + z = 0.

A: Given:  The function is  f(x,y,z)=x2+2y-z2And subject to the constraints  2x-y=0 and y+z=0

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Q: Find the extreme values of f(x, y, z) = x + 2y + 3z subject to the two constraints x + y + z = 1 and…

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Q: Find maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x2 + y? + z2…

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Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x² + y? +…

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Q: Maximize Subject to Maximum is X = y = z = 2x + y x + 5y < 4x + 5y ≤ X Y 25 40 νι νι ΛΙ ΛΙ 00 at

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Q: Use the method of Lagrange multipliers to minimize the function subject to the given constraint.…

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x? + y? +…

A: The given function is; f(x,y,z) = 8x-16y+40z

Q: Find the extreme values of the function f(x,y,z) = x4 + y4 + z4, subject to the constraint x2 + y2 +…

A: Given,  f(x,y,z) = x4+ y4 + z4,  Subject to the constraints  g(x,y,z)= x2 + y2 + z2 =1. Now we find…

Q: Find the minimum value of z=3x+9y subject to the constraints x+3y≤10 ; 3x+y≥10; y≤x ; x≥0; y≥0 using…

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x – 3y subject to the…

A: Recall: Method of Lagrange Multipliers :1.)Solve the system of equations                ∇f(x,y)…

Q: Find maximum and minumum values of f(x, y, z) = 5x – 10y + 25z subject to the constraint x2 + y? +…

A: we use Lagrange multipliers method

Q: Find the values of x, y that maximize 5 - 2x2-2xy-y2 +x+4y 7 subject to the constraint x+y- =0

A: let f=-2x2-2xy-52y2+x+4y x+y-72=0y=72-x substitute y value in f…

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

A: If f is our function and g is the constraint. We can use Lagrange multiplier, c to equate the first…

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 5x - 4y subject to the…

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

A:

Q: Find maximum and minumum values of f(x, Y, z) = 8x – 16y +40z subject to constraint x2 + y? + z2 =…

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

A: We use Lagrange multipliers method

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: Draw the region in the xy plane where x+2y = 6 and x 2 0 and y 2 0. Which point in this "feasible…

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Q: Find the relative maximum value of ​f(x,y)=3xy​, subject to the constraint x+y=4 Find the relative…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

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 value of P(x,y) = 12x + 15y subject to the constraints: x>0 y 0 4x + 3y 12

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Q: Minimize ƒ(x, y, z) = xyz subject to the constraints x2 + y2 - 1 = 0 and x - z = 0

A: y = √(1 - x2); z = x Hence we have to minimize, f = x2√(1 - x2)

Q: Find the minimum value of h(x, y) = (x − 2)2 + 2xy − (y + 4)2 constraint y=x. subject to the

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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: Minimize ?=2x+3y subject to:  4x+y≥7  x+y≥4  2x+5y≥14  x, y≥0 Corner points at…

A: The Graph is as shown below:

Q: Of all points (x,y,z) that satisfy x+y+4z=24, find one that maximizes (x-1)2 +(y-1)2+(z-1)2

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

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Q: Use the method of Lagrange multipliers to maximize the function subject to the given constraints.…

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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: 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 absolute maxımum and minimum of f(r, y) = x² + y subject to the constraint 3x2 + 4y? = 5

A: To find the absolute maximum and minimum values of f(x,y) subject to constraint g(x,y).

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = x²y subject to…

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Q: Find the values of x, y, and z that maximize xyz subject to the constraint 1344 - x- 16y - 7z = 0.

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Q: Find the minimum value of f(x,y)=48x2+30y2 subject to the constraint x2+y23D361

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the maxima and/or minima of f (x, y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x - 3y - 4z…

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