Find the values of x, y that maximize 6. – 2x² – 2xy - y + 2x + 9y 2 11 subject to the constraint x+y- 30. 2, (Simplify your answer.)

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 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: Maximize 12X + 10Y Subject to: 4X + 3Y s 480 2X + 3Y s 360 al varlables 20 Which of the following…

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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: 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 maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x2 + y² + z²…

A:

Q: Find the minimum value of f(x,Y)=34x2+25y2 subject to the constraint x2+y2=196 %3D

A:

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: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x² +9y² subject to the…

A: Given , f(x,y)=4x2+9y2Constraint: xy=4 To find :  Maximum and Minimum values of f(x, y) using…

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

A:

Q: Use the method to the given constraint. maximise the Maximize the function & (or, y) = x+ 5y²…

A: Given function is f(x,y)=x+5y-2xy-x2-2y2 Given constraint is 2x+y=4   To Maximize the given function…

Q: Use the method of Lagrange multipliers to find a. the minimum value of x+y, subject to the…

A: Maxima and Minima by Method of Lagrange Multipliers: Working Rule: Let fx, y be the given function…

Q: find the values of  x greater than or equal to 0 y greater than or equal to 0 that maximize…

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

A: Given,

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: The maximunm value for the function f(x, y) = x+y-z sub- ject to the constraint z2+y? + 22 = 12 is

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Q: Find the minimum value of f(x,y)=61x²+6y² subject to the constraint x2+y²=4

A: Minimum value of function is the point on function curve which is lowest on entire curve. Point at…

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

A:

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

A:

Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y² +…

A:

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: The model Maximize 30x + 40y Subject to: • 30x + 31y = 0

A: Write the set of values for corner points.

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

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

A:

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

A:

Q: Use Lagrange multipliers to find the extreme values of F(x,y)=x^2-y^2  subject to the constraint…

A:

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: Maximize z = 8x + 2y, subject to the following constraints. (If an answer does not exist, enter…

A: Given the equation: z=8x+2y constraints: 2x-5y≤10; -2x+y≤2; x≥0; y≥0   To find the maximum value of…

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: Find the minimum value of f(x,y)=48x²+30y2 subject to the constraint x2+y2=361 %3D

A: Given that fx,y=48x2+30y2 Let, gx,y=x2+y2 Then, fx=96xfy=60ygx=2xgy=2y

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

A:

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

A: Use Lagrange multiplier to find the maximum and minimum values of f(x, y) = 4x - 2y subject to the…

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…

A:

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

A: The solution of the problem is given in the next step.

Q: The maximum value for the function f (x, y) = 2x + y – 2z bject to the constraint x2 + y? + z² = 9…

A: Here we have, f(x,y)=2x+y-2z ................................... (1) Subject to constraint…

Q: minimize f(z,y,x) =2x2+5y2+6z2 subject to the constraint 4x+5y+8z=28. when the minimum occurs, what…

A: Given, f(x,y,z) = 2x2 + 5y2 + 6z2 subject to constraints 4x + 5y +8z = 28. We have to find the…

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…

Q: Use Lagrange multipliers to solve Maximize…

A: Consider  fx, y=2x+2xy+y Subject to constraints   2x + y = 100