What are lagrange's multipliess? Beriefly explain. In what conditions lagranges's multiplier method can becused for holonomic. constraints?

Q: A rectangular box with open top and has a square base is a school project of two senior high school…

A: Given: A rectangular box with an open top has a volume 62.5 cm3. Base of the rectangle is…

Q: Calculate the minimum value of: fx) = x,' + x,° +x, subjected to the following constraints: 2x, +x,…

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Q: Use lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

Q: Use Lagrange multipliers to tind the extreme values of the function subject to the yiven constraint.…

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Q: Explain Plot of the Constraints?

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Q: Find the objective function in the given problem (in terms of w) if the constraint is that the sum…

A: Note: Please provide complete instructions for first problem. Given  The box has a sum of length,…

Q: What is Redundant constraint?

A: Redundant constraint: A set of linear constraints is used to generate a feasible area but doesn’t…

Q: Why we use the minimum ratio test to find the column in the DUAL simplex method, what will happen if…

A: The dual simplex method minimum ratio test is used to determine the leaving base variable. Recall…

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

A: Use Lagrange theorem

Q: First show that for any Equilateral Triangle with side a the height is a. Then provide a nonlinear…

A: Proof for the height of an equilateral Triangle We take a triangle ABC with side a, We draw an…

Q: A cargo container (in the shape of a rectangular solid) must have a volume of 440 cubic feet. The…

A: Given data is: The volume is 440 cubic feet The cost of the bottom is $5 per square foot. The cost…

Q: A customer requested for a cylinder with a top and bottom that has a volume of 4000cm^3. Find out…

A: Here we have given that a cylinder with a top and the bottom has a volume of 4000 cm3. we need to…

Q: at are they?

A: Here, in the question, it is asked about the double constraints. Its operation is also asked. First,…

Q: Answer the question below: A gift from an organization is wrapped in a box provided that the sum of…

A: This is the problem of maxima and minima of the function. By using lagrange multipliers we will…

Q: Calculate the maximum value of 4x + 6y subject to the constraints below: 3x+ ys16 x+3ys16 yz1 x20

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Q: sing Lagrange Multiplier, what are the maximum and minimum values of f(x,y) = 4x³ + y² subject to…

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Q: The purpose of this exercise is to explore a condition that implies all of the existence results for…

A: Solution

Q: Use the method of Lagrange multipliers to find the dimensions of a rectangle with perimeter p and…

A: It is given that the perimeter is p and it has maximum area. Let the dimensions of the rectangle be…

Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

Q: Find the maximum/minimum value of y = 10-4x - 3x² and where it occurs using completing the square.

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

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: We have to find the maximum and minimum value of the given function.

Q: The goal of the transportation model is to maximize the transportation cost. * True False

A: The transportation model is a special case of linear programming problems in which the objective is…

Q: packaging company is going to make open-topped boxes out of 20 cm by 20 cm rectangles of cardboard…

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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

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Q: What is the Lagrange multiplier associated with the equality constraint in the following…

A: Given maximization problem: Max fx,y=2x+y Subject to gx,y=3x+y-30=0                  x≥0 and y≥0…

Q: Q Use Lagrange multipliers to tind the maximum an Ċ minimnm valnes and Points (x ) at which they…

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Q: What are Lagrange's multipliers? Briefly explain. In what conditions Lagrange's multiplier method…

A: To Determine :- The Lagrange's multipliers and in what conditions Lagrange's multiplier method can…

Q: 9. How should the constraint, 3X + 2Y 2 9 as equation #1, be converted into ?simplex (2 marks)…

A: Given: The constraint 3X+2Y≥9   To determine: The equation that the given constraint should be…

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

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Q: Describe the method of Lagrange multipliers and give examples.

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Q: Define the term Lagrange multipliers?

A: we have to define the Lagrange multiplier.

Q: Use the method of Lagrange multipliers to find the minimum distance between the parabaloid…

A: Find the minimum distance between Paraboloid z=x2+4y2 and point 3,0,0

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: Explain the effects of imposing a constraint in an optimization problem. Give at least one economic…

A: Effect of imposing a constraint in an optimization problem with one economic example.

Q: 2. A farmer wants to fence off three identical adjoining rectangular pens, each 400 square feet in…

A: Given: # identical rectangular pens, with each has area 400 ft2.   To find: Length and width of…

Q: The method of Lagrange Multipliers works because the intersections of the level curves and the…

A: True. Follow the figure given below Imagine hiking from left to right on the constraint line. As we…

Q: A farmer has 800 meters of fencing and needs to fence off a rectangular paddock that borders a…

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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: me of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling, $9,000 for…

A: INTRODUCTION: Let z=f(x,y) be the function of x and y, the extrema of the function is dependent on…

Q: TJse Lagrange multipliers to find global maximum and minimum values of f(r, y) = xy subject to the…

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Q: Solve the given item on a separate sheet of paper. A rectangular box with open top and has a square…

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Q: The funcion f cxiy)=Bx®+ ya max value and absolute min value subject to the constraint xa + 74 + ya…

A: Given that     The function is f(x,y) = 8x2 +y2 And the constraints is x2+7y+y2=60. By using…

Q: A farmer, well versed in traditional optimization problems, has decided to buy a rectangular plot of…

A: A rectangular plot of 200 square meters of land on the bank of a river, and surround it on three…

Q: A rectangular garden of area  64m^2 is to be constructed using rock walls for  two adjacent sides…

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Q: An aquarium is to be constructed to hold 2160 in The base is to made of slate and the sides of…

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Q: Constraint:

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Q: 3. Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18…

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