Maxmize f(x,y,z) =x2y2z2 subject to the constraint 2x2+4y2+6z2=10. assume x,y,z are positive  when the maximum occurs what is  a. x? b.y? c.z? what is the maximum value of f(x,y,z)?

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint a2 + y? +…

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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: Find the extrema of f subject to the stated constraint f(x, y) = 3x + 2y, subject to 2x2 + 3y2…

A: Given:- f(x,y)=3x+2y ........................ (1)  and subject to 2x2+3y2=6…

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x2 + y² +…

A: The explanation of answer as follows :-

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 maximum and minumum values of f(x, y, z) = 9x – 18y + 45z subject to the constraint x2 + y2 +…

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

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

A: Use Lagrange multipliers and solve for maximum and minimum.

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

Q: Find maximum and minumum values of f(x, y, z) = 2x – 4y + 10z subject to the constraint x2 +y? + z²…

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

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Q: Find maximum and minimum lues of f(x, y,z). 8X -16y+ 407 subject to %3D constraint x2+ y2+ 22 - 750

A: To find the maximum and minimum value of function

Q: Find the maximum value of f(1, y, z) = ry + Iz+ yz – 4ryz | subject to the constraints z+y+z=8 and…

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Q: Find the maximum of f (x, y, z) = z subject to the two constraints x2 + y2 = 1 and x + y + z = l.

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

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

Q: Maximize the function f(r, y, 2) = x*# subject to the constraint r² +ỷ +z* = c², where c+0. %3D

A: as per our guideline we supposed to answer only first question , kindly repost other as a next…

Q: Find maximum and minumum values of f(x, Y, z) = 2x – 4y + 10z subject to the constraint a? + y? + 22…

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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: Find the maximum and minimum values of f(x, y, z) = xyz subject to the constraint x+y+z% 1. Assume…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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: Q3. Find the minimum of the function f(r, y) = r - y subject to the constraint r+ y? <1 Check the…

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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 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 and minimum values of the function f(x, y, z)= 3x - y - 3z subject to the…

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

A:

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

A: To find the maximum value of the function f(x,y,z), subject to the the constraints gx,y,z=0 and…

Q: Q Use Lagrange multipliers to tind the maximum an Ċ minimnm valnes and Points (x ) at which they…

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Q: Find the minimum value of the function f(x,y,z)=x^4+y^4+z^4 subject to the constraint x^2+y^2+z^2=1.…

A: Lagrange's multipliers are used to find the minima here Steps: solve the equation to get the…

Q: . Find the minimum value of C = 3x + 5y subject to %3D 4x +3y > 240 4x + y > 120 y > 0

A: 4x+3y≥240 divide both sides by 240 4x240+3y240≥240240 x60+y80≥1 compare this equation with the…

Q: Find a constrained minimum or maximum of the function f(x, y) = xy subject to the constraint 4x? +y²…

A: Consider gx,y=4x2+y2 and evaluate the partial derivatives of fx,y and gx,y with respect to x and y.…

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 the minimum of f(x, y, z) = x2 + y2 + z? subject to two constraints x + 2y + z = 7 and x - y =…

A: According to the given information it is required to find minimum of the function:

Q: Find maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x? + y² + z²…

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Q: 3. Let f(x, y) = xe" subject to the constraint x2 + y2 = 2. Find the minimum value and the maximum…

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Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x2 + y² + z² = 4 and x² +…

A: Step:-1 Given that f(x,y,z)=x+y+z subject to  x2+y2+z2=4⇒x2+y2+z2-4=0…

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

A: We will use Lagrange's multiplier method to find max min

Q: Find the maximum off (x, y, z) = xyz subject to the constraint g(x, y, z) = 2x + y + 4z = l.

A: Let f(x,y,z) = xyz and g(x,y,z) = 2x + y + 4z - 1 The gradient vectors of f and g are given by: We…

Q: Bir z = f(x, y) fonksiyonunun g(x, y) = c kısıtı altında bir yerel maksimum noktası için ikinci…

A: Which one is the second order sufficient condition for a local maximum point of z=f(x,y) under the…

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: Find the absolute minimum value of the function f(x, y) x+ 4y2 = 9. 2x + 3y subject to the…

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Q: Find the extrema of f subject to the stated constraint. f(x, y, z) = x − y + z, subject to x2 + y2…

A: The given function is, f (x, y, z) = x – y + z  … (1)Subject to x2 + y2 + z2 = 7 … (2)Compute the…

Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x? + y² + z? = 4 and x? +…

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint a2 + y² +…

A: solution is given below

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

A: We need to find maximum and minimum values of f(x,y,z)=3x-6y+15z subject to the constraint…

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

A:

Q: Find the minimum of f(x, y, z) = x2 + y2 + z2 subject to two constraints x + 2y + z = 7 and x - y =…

A: According to the given information, it is required to find the minimum value of the given function…