Maximise z - 17.5x + 7 . (1) subject to the constraints, x + 3y s 12 . (2) 3x + ys 12 . (3) X, y 2 0 . (4)

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

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Q: Fincl extreme of the value fray2of fouy2-2xy Subject to the constraint

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Q: Q2: Using Lagrange multipliers method to find the maximum and minimum points values for the function…

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Q: Solve graphically the dual of the LLP Minimise: z=4w, +6w, +5w,-wĄ Sub. to w; +w, 23 W;,W,W,Wq 20

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Q: Minimize the function x^2+y^2+z^2 subject to constraint x+2y+3z=6 and x+3y+9z=9

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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: ne maximum value of f(x, y) subject to the constraint g(z, y) = 300 is 7100. The method of Lagrange…

A: Solve the given problem.

Q: Find the minimum value of f(x,y)=66x2+9y2 subject to the constraint x2+y2-784

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Q: 3. Find the absolute maximum and minimum values of f(x, y) = x²y subject to the constraint x2 + y? =…

A: f(x,y)=x2y Constraint is:  g(x,y)=x2+y2-1

Q: Maximize f = 3x1 + 6x2+ 8T3 subject to 4x1 + 2x2 + 3r3 0, x2 2 0, r3 0 If no solutions exist enter…

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Q: 1. (a) Find the maximum value of f(x, y, z) = 16x + 2y + 4z, subject to the constraint x² + y+ z² =…

A: Introduction: When we extremize a multivariable function under certain constraints, we use the…

Q: . Find the maximum possible value of f = 20x + 30yand the values of x and y that give that value,…

A: Definition used -      Maximum possible value -       We will graph the given inequalities and…

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: ノ I 2x-X2+3メ3%=2 Xi+3メ2-メ3= 2 X-2 X2+ 5X3 =3 55 Then Find The ualue s X, X2o f X3 2 9

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Q: Maximize f(x,y)=x2+y2 subject to the constraint 2x+6y=26 the last question is what is the maximum…

A: Given fx,y=x2+y2 and 2x+6y=26-1Let gx,y=2x+6y-26∴ Fx,y=x2+y2-L2x++6y-26By lagrange's…

Q: Find the exact extreme values of the function := f (x, y) = 35r + 11y + 70 subject to the following…

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

A: Given problem is extrema f(x, y,z)=yz+xy subject to y2+z2=400xy=9

Q: Minimize the function ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints x + 2y + 3z = 6 and x +…

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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: Solve using Lagrange Multipliers, final answers should have 4 decimal places. A. Find the maximum…

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

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

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Q: Maximize f(x,y)=64-(x-2)2-(y-2)2 subject to the contraint x2+y2=8 when the maximum occurs, what is…

A: Given, the function is f(x, y) = 64 – (x – 2)2  - (y – 2)2 subject to constraints x2 + y2 = 8.

Q: The function f(x,y.z) = 7x has an absolute maximum value and absolute minimum value subject to the…

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Q: Use the simplex method to solve the problem. Find y, 20 and y, 20 with the given constraints.

A: Given,     Min w = 6y1+y2 subject to           5y1 + 5y2 ≥ 25           5y1 + y2 ≥ 28    and   y1,…

Q: Find the maximum possible value of f = 400x +300y and the values of x and y that give that…

A: The given LPP: maximize  f=400x+300ysubject to,3x+2y≥62x+y≤7x, y ≥0 Sketch this region and locate…

Q: Find the minimum and maximum of the function z 7z - 4y subject to 7z-3y 2 18 7z+y s 57 What are the…

A: Given z=7x-4y subject to y≥1y≤87x-3y≥187x+y≤57 We will solve it by graphical method The shaded…

Q: x + 2y < 48, x + y< 30 2x + y < 50 x + 10y < 200 Use the simplex method to maximize f (x, y) = 3x +…

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Q: The maximum value M and the minimum value m of f(x,y)=x³-2y² subject to the constraint x3+y3=125 are…

A: Apply the Lagrange's multiplier method, ∂f∂x=λ∂g∂x⇒3x2=λ(3x2)⇒3x2(λ-1)=0⇒x=0 ; λ=1Also,…

Q: Find the maximum and minimum values of the function z = 2x – y subject to the constraints x + y 0 y…

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

A: Given function isfx, y, z=3x-y-3zConstraints arex2+2z2=4andx+y-z=2

Q: Q#2: Maximize U=w°+z0.6 subject to 2w+4z=100 and find optimal value of x and z. Also, verify that…

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Q: Find the maximum of V = xyz subject to the constraint 6x+4y+3z-24=0

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

A: Given  objective function f(x,y)= xy  constraint  g(x,y)= 9x2+y2-4

Q: Q\Find the maximum and minimum values of . f (x, y.z) = xyz subject to the constraint x + 9y? + 22 =…

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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 function f(x.y.z) = 2x +z has an absolute maximum value and absolute minimum value subject to…

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Q: The function f(x,y) = 7xy has an absolute maximum value and absolute minimum value subject to the…

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Q: Max (Z) = 3 X + 5Y Constraints: 2X +3Y≤ 30 5X +4Y≤60 By Condition X, Y20

A: Given LPP is max z=3x+5ysubject to2x+3y≤305x+4y≤60x,y≥0   So, graph of  function

Q: Find the closest and most distant points to the origin on the curve x^2+xy+y^2=1.   Use lagrange…

A: Given that the curve is x2+xy+y2=1. It is required to find the closest and most distant points to…

Q: Your company manufactures automobile alternators and production is partly automated through the use…

A: Given that x is the number of laborers and y is the number of robots.  The relation between x and y…

Q: Find the maximum of v = xyz subject to the constraint 6x+4y+3z-24=0.

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Q: Q1/Use simplex method to maximize the function max R=7x+ 4y Subjected to 2x+ y =20 X+Y< 18

A: To maximize R=7x+4y S.T.C. 2x+y=20x+y≤18x≤8 Introduce the slack and artificial variables: Max…

Q: Find real-valued closed formulas for the trajectory x(t + 1)= Ax(), where 6. 12 and (0) = 9. A %3D…

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