Find the minimum value of  z = 6x2 + y2 − xy  subject to the constraint  2x + y = 12.

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: Find the maximum possible value of f = 100x +100y and the values of x and y that give that…

A: GIVEN f = 100x +100y we need to find the maximum possible value of f,

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: Find the number of slacks variables needed and use slack variables to convert each constraint into a…

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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: value

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Q: Your company manufactures automobile alternators, and production is partially automated through the…

A: Given: The company include the manufactures automobile alternators, and production is partially…

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 minimum value of z = 4x2 + y2 − xy subject to the constraint 4x + y = 8. z =

A: Answer

Q: The maximum and minimum values of 2x + 3y subject to the constraint x + y = 1, where 0 ≤ x,0 ≤ y,…

A: Given that 2x+3y  subject to constraint x+y=1 where x≥0, y≥0.

Q: Find the maximum and minimum values of the function z=2x−yz=2x-y subject to the constraints…

A: solution of the given problem is below...

Q: Find the extreme values of ƒ(x, y) = xy subject to the constraint g(x, y) = x2 + y2 - 10 = 0.

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Q: Consider the problem of minimizing 3x+2y subject to the constraint x+y=1. What is the optimal level…

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Q: Find the maximum and minimum values of x2 + y2 subject to the constraint x2 - 2x + y2 - 4y = 0.

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: Minimize 4X + 9Y, constraints: 5X + 3Y s 30, 7X • 2Y s 28, X 2 0, Y 2 0

A: Given constraints are 5x+3y≤30 and  7x+2y≤28, x≥0,y≥0. Draw the given inequalities and obtain the…

Q: Consider the equation z = 32x0.°y04 where z, z, y represent the total production, labor input and…

A: Formula used: The equation to be solve by using Lagrange's multiplier method for solving constraint…

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: Maximise z - 17.5x + 7 . (1) subject to the constraints, x + 3y s 12 . (2) 3x + ys 12 . (3) X, y 2 0…

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Q: Maximize x2y subject to the constraint that 1 > x+y.

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Q: Find the minimum value of w = x2 + y2 + z2 subject to the constraint x + y + z = 9. w =

A: Answer

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

A:

Q: 1. Find the maximum value of the function P(x,y) = 3x + 2y subject to the constraints x + 2y 0, and…

A: The function, Px,y=3x+2y subject to constraints x+2y≤4, x-y≤1, x≥0, and y≥0.

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: Calculate the maximum and minimum values of x^2+y^2 subject to the constraint x^2−2x+y^2−4y=0

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Q: Find the maximum and minimum of f(x, y) = xy subject to the constraint 4x + y = 72

A:

Q: Find the maximum and minimum values of x + y subject to the constraint x - 10x +y - 8y = 0. What is…

A: x2+y2 subject to the constraints x2-10x+y2-8y=0

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 w = 4x, + 2x, + x3 subject to the constraints 2x, + 3x, + 4x, 4 x1 + 4x,…

A: Change the constraint system:  -2x1-3x2-4x3≥-143x1+x2+5x3≥4x1+4x2+3x3≥6where x1, x2, x3≥0 The…

Q: Find the minimum value of f subject to the given constraint. f(xy) = 3x +y -4xy; x+y= 24

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Q: Maximize the value of z = 4x₁ + 6x2, where x₁ and x₂ ≥ 0, subject to the following constraints. -x₁…

A: Given: The LP problem, Maximize, z=4x1+6x2Subject to -x1+x2≤11                       x1+x2≤27…

Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

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Q: Find the maximum value of P = xy subject to the constraint 2x + y = 5

A: Given Data: Equation 1: P=xy Equation 2: 2x+y=5   Solve equation (2) for y. 2x+y=5y=5-2x…

Q: Lagrange multipliers to find the minimum of f(x,y) = 2x2 - y2 - 10x and the constraint 2x - y + 1 =…

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Q: Find the minimum value of the function z = 3x+11y subject to the following constraints. x<11 ys 12…

A: Given, min z=3x+11ySubject to the constraintsx≤11y≤123x+y≥183x+7y≥54

Q: The maximum and minimum value of f(x,y) = 3x – 4y subject to the constraint x* + y° = 16 are %3D O…

A: To maximize the function f(x, y)  subject to the constraints  g(x,y)=C Determine the Lagrangian…

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: Minimise x2+y−2xyx2+y−2xy subject to the constraint y=1

A: Given function is fx,y=x2+y−2xy and given constraint y=1. We have to minimize the function is…

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: Maximize x2 - y2, subject to the constraint 2x + y - 3 = 0.

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Q: Find the maximum value of x+y subject to the given constraint: x2 + y2 = 18.

A: Given: constraint : x2+y2 = 18

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: Find the maximum and minimum values (if such values exist) of f(x, y) = x² + 6y² subject to the…

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Q: esting x units of labor and y units of capital, a watch manufacturer can produce P(x, y) =…

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Q: Find the minimum value of f subject to the given constraint (x.y) = 2x2 +y?; 2x + 3y = 44

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