Find the maximum solution to the program: E(x, y) = 8xy² + 2x'y Subject to the constraints: 9x+4y <236 2x +9y <166 Again, the factors, x and y, are nonnegative.

Q: A company plans to manufacture a rectangular box with a square base, an open top, and a volume of…

A: The given box is in rectangular shape but has a square base with volume of the box as 452 cm3.So…

Q: Find the minimum value of f(x, y, z) = x² + 2y² + 3z? subject to the constraint x + 2y + 3z = 10.…

A: Consider the given: fx,y,z=x2+2y2+3z2Subject to constraints:x+2y+3z=10gx,y,z=x+2y+3z−10 Use…

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

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Q: Solve using simplex. Minimize: w = y1 + y2 + 4y3 Subject to: Y1 + 2y2 + 3y3 > 115 2y1 + y2 + 8y3 200…

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Q: 16. Of all points (x, y, z) that satisfy 3x + 4y + 2z = 52, find the one that minimizes (x – 1)2 +…

A: Let f(x,y,z)=x−12+y−42+z−22   and    g(x,y,z)=3x+4y+2z−52≡0Apply Lagrange Multiplier method to find…

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: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of…

A: P(x,y)=96x34.y14 Labor cost =$144 Capital cost =$1875 cost =144x+1875y

Q: 7. Use the method of Lagrange multipliers to find a relative minimum of f(x, y, z) = x² + 4y + 16z…

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Q: a. Solve max f(x,y,z) = 3x² + y problem by means of Lagrange multipliers under the constraints of…

A: The Lagrange's multiplier method can be used to calculate the maximum or the minimum value of the…

Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C

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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: Solve  max f( x,y , z) 3x2+y problem by means of Lagrange multipliers under the constraints of…

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Q: Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject to…

A: GIVEN Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject…

Q: rectangular box is to have a square base and a volume of 45 ft3. If the material for the base costs…

A:

Q: a. Solve max f(x, y,z) = 3x² + y problem by means of Lagrange multipliers under the constraints of…

A:

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: A cylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material…

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Q: The management of Unico department store has decided to enclose an 860ft^2 area outside the building…

A: To determine the dimensions of the enclosure that has minimum cost.

Q: The production function for a firm is p(x, y) = 72x"y"", where x and y are the number of units of…

A:

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

A: Part b:

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

A:

Q: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A: Solve by minimizing surface area

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: It is desired to construct a structure like the figure with a volume of V (hemispherical and six…

A: The diagram for the given is, The volume for the diagram is, Assume the total cost is, P

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 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: . A decorator, who is a monopolist, makes two types of specialty picture frames. From experience,…

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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: By minimizing the function ƒ(x, y, u, y) = (x - u)2 + (y - y)2 subject to the constraints y = x + 1…

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Q: A cylinder-Its sides are made of cardboard, its bottom is made of thick plastic-coated aluminum…

A: Let r , in centimeter be the radius of base of cylinder and h, in centimeter be height of cylinder.…

Q: Minimize f(x,y,z)=xyz subject to constraints x^2+y^2=0 and x_z=0, by using the method of Lagrange…

A: To minimize the function fx,y,z=xyzsubject to x2+y2=0  .........(1)x-z=0  ................(2)Let…

Q: A satellite television reception station is to be located at point P so that the sum of the squares…

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Q: Find the minimum and maxinum of f(x, y, 2) HỰ +2 subject to two constraints, z + 2y +z=8 and z- y =…

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Q: A function, z = ax + by, is to be optimised subject to the constraint, r + y = 1 where a and b are…

A: Given that the function to be optimised is z=ax+by subject to the constraint x2+y2=1 where a and b…

Q: Solve: sec x = V2 + 2πkk e Z U + 2π시k E Z 3. + 2πkke z 2Tk k EZ 4. 4 + 2rk|k € Z 3 + 2rk|k E Z 3. of…

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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: minimize subject to (xyz)-¹ x + 2y + 2z ≤ 72 x, y, z 20

A: Since you have posted multiple questions, we will solve only the first question for you.

Q: To find the initial solution for the transportation, its better to use stepping stone method Select…

A: To determine                                 Stepping stone  method is  better to find initial…

Q: 1 y" – 2y' + 2y y(4) = 0, 3 (4) = 0. -

A: Given: The given differential equation is y''-2y'+2y=1x, y4=0,y'4=0

Q: A boat is located 3 km in the ocean from a point, says P on a straight shoreline. That point is 5 km…

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Q: a. Solve max f(x, y, z) = 3x² + y problem by means of Lagrange multipliers under the constraints of…

A: Since you have asked multiple question, we will solve first question for you. If you want other…

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: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: Two machines, A and B produce items at the rate of 50 units per hour and 40 units per hour j.…

A: