Find the minimum and maximum values of the function f(x,y)=x^2y+x+y subject to the constraint xy=3.

Q: Find the maximum and minimum values of the function f(x,y,z) = x + 2y subject to the constraints y^2…

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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: If IAIo the equilibrium paintx=0 for the system x-Ax isa stable focus

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Q: Find the minimum value of f (x, y) = xy subject to the constraint 5x - y = 4 in two ways: using…

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Q: Find the maximum value of f(x, y, z) = xy + xz+ yz – 4xyz subject to the constraints x + y + z = 4…

A: Given f(x, y, z) = xy + xz+yz - 4xyz subject to the constraints x + y + z = 4 and x, y, z ≥ 0 To…

Q: Find the minimum value of f(x, y, z) = 2x2 + y2 + 3z2 subject to the constraint 2x − 3y − 4z = 49.

A: Given: Function=f(x,y,z)= 2x2+y2+3z2 Constraint: 2x-3y-4z=49

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: q4

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Q: A rectangular box is to have a square base and a volume of 16 ft3. If the material for the base…

A: Volume= x2y= 16 So, y= 16/x2   total cost:

Q: Find all absolute extrema of f (x, y) = x² + y² – 25 subject to the constraint y = +

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Q: The production function for a firm is p(x, y) = 256x"y where x and y are the number of units of…

A: Given p(x,y)=68x34y14

Q: Find the extrema of f subject to the stated constraint. f(x, y) = x, subject to x2 + 2y2 = 5 maximum…

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Q: The production function for a firm is p(x, y) = 68x"y"", where x and y are the number of units of…

A: By Method of Lagrange's multiplier . To maximize fx,y,z subject to gx,y,z=k  Solve system of…

Q: Maximize 4x+ 2 y+ 2 z

A: We have to maximize f(x,y,z)=4x+2y+2z on the sphere x2+y2+z2=19.Take g(x,y,z)= x2+y2+z2-19=0Thus,…

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: b. Solve min x, -x, – 2x, problem by means of Lagrange multipliers under the constraints of x, +x,…

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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…

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Q: 4. y 3 x+y<6 Ax, y) = x+ 2y Maximum: Minimum:

A: NOTE: Refresh your page if you can't see any equations. .  is the horizontal line passing through…

Q: Find the extrema of f subject to the stated constraint. f(x, y) = x, subject to x2 + 2y2 = 1…

A: Given:

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: The function f(x,y.z) = (xyz)"/2 has an absolute maximum value and absolute minimum value subject to…

A: Given the function fx,y,z=xyz1/2 has absolute maximum value and an absolute minimum value subject to…

Q: Maximize F=x+y subject to:  x+2y≤8  x≤6  x, y ≥0 Corner points at ____________________ Maximum…

A: We have to find maximum.

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: 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 the function f (x, y) = 16x² +81y² subject to the constraint xy = 1.

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

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Q: A manufacturing company makes door hinges. The cost function for making a hinges per hour is C(x) =…

A: The cost function for making x hinges per hour is C(x)=0.0007x3-0.1796x2+14.663x+160 The critical…

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

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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: Find the minimum of the function f(x, y) = x² + y² – xy subject to the constraint 2æ + 2y = 2. Value…

A: We have to find the minimum of the function fx,y=x2+y2-xy subject to the constraint 2x+2y=2.

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 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: A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base…

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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 maximum of the following function: h(x, y)  =  ln(x10 y6) given the constraints: 5x2 +…

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Q: Find maximum and minumum values of f(x, y, z) = 5x – 10y + 25z subject to the constraint a2 +y² + z²…

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Q: simplex method

A: We have to solve the given problem by simplex method.

Q: The amount of space required by a particular firm is f(x, y) = 1000(6x2 + y2)^1/2, where x and y…

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Q: Find the maximum and minimum values of f (x, y, z) = xyz subject to the constraint x2 + 2y2 + 4z2 =…

A: Our guidelines for multiple questions, answer only first question  For 2 answer , repost the…

Q: Find the minimum of the function f(x, y) = 2x² + 2y² subject to the constraint z + y – 1= 0. Value…

A: Here we have to solve the above problem by using Lagranges's multiplier and then differentiate and…