Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is maximum.

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 multiplier to find dimensions (X, y) of rectangular with maximum area and having a…

A: Given:  Circumference of rectangle is 144 Let X, Y denotes the length and breadth of a rectangle…

Q: Use simplex method to maximize the function max N= 4Ri+ SR2 Subjected to 3Rr+ 2R: =10 Ri+ R259 RIS8

A: Using the simplex method

Q: Use Lagrange multipliers to find the minimum and maximum values of f(x, y) = 3x - 2y on the circle…

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

A: To find- Use Lagrange multipliers to find three positive numbers whose sum is 51 and the sum of…

Q: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

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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: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that…

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Q: find the dovivative %3D x+6

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Q: Use Lagrange multipliers to find three positive numbers whose sum is 30 and the sum of whose squares…

A: We have find three numbers whose sum is 30 and whose squares is as small as possible, by lagrange…

Q: Use Lagrange multipliers to find three positive numbers whose sum is 18 and the sum of whose squares…

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Q: Use the Method of Lagrange Multipliers to find the largest product that the positive numbers x, y,…

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Q: Use the method of Lagrange multipliers to find three positive real numbers, x, y, and z whose…

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Q: Q5. Use Lagrange Multiplier to find the minimum distance between the origin and the line (x=51 +3, y…

A: Solution :

Q: A farmer has 1700 m of fencing and wishes to enclose a rectangular area and then divide it into 5…

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Q: A cargo container (in the shape of a rectangular solid) must have a volume of 520 cubic feet. The…

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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: Use Lagrange multipliers to find the minimum and maximum values of f (x, y) = 3x − 2y on the circle…

A: fx,y=3x−2yCircle: x2+y2=4                   x2=4−y2                    x=4−y2Substitute the value of…

Q: Use the method of Lagrange Multipliers to find the maximum and minimumvaluesof x2+y2 subject to the…

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Q: Find two nonnegative numbers x and y for which 2x + y = 30, such that xy2 is maximized.

A: Given that, 2x + y= 30 y = 30 - 2x ................... (1) The function is: f(x, y) = xy2  f(x) = x…

Q: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

A: Using Lagrange multiplier to find the dimension of rectangle whose area is maximum

Q: Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is…

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Q: an I ask how the maximum and mininmum points were obtained?

A: We need to find max and min points.

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: By using the Lagrange multiplier, find the three positive number, x, y, and z whose sum is h and…

A: Here, you have to maximize the function x4y8z7, subject to the condition that x+y+z=h⋯⋯1. In order…

Q: Forwarded Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35 4x1 + 9x2 \leq36 x1, x2 \geq 0 and…

A: Maximization of a linear programming problem is carried out to obtain a solution that follows all…

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+…

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3…

Q: 1. Without using Lagrange Multipliers, find three positive numbers whose sum is 100 and whose…

A: let the numbers be "x" and "y" Given the sum of numbers is 100  then  x+y=100                  Then…

Q: Use Lagrange multipliers to find the dimensions of a rectangular box with largest volume if the…

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Q: Use the method of Langrange Multipliers to find the maximum value of f(x, y) = 4xy subject to 2x − y…

A: Explanation of the answer is as follows

Q: Use Lagrange multipliers to find the point on the surface 3x+y−3=0 closest to the point…

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Q: A rectangular bird sanctuary is being created with one side along astraight riverbank. The remaining…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Xingqiu has 420 feet of fencing material and uses it to start a kernel by building 5 identical…

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 15 and such that the sum of…

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Q: Use the method of Lagrange multipliers to find a relative minimum

A: Lagrange multiplier :

Q: A closed rectangular box with a volume of 1296ft is made from two kinds of materials. The top and…

A: answer is in next step

Q: I want to solve this questionQ) Use Lagrange multiplier to find the largest product of three…

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Q: Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and…

A: To determine maxima and minima of the function with respect to some constraints then follow as Find…

Q: Find the critical points for f(x) = 3x5 - 20x3. %3D

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Q: 6] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

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Q: Use Lagrange multiplier to solve. Max U = x+y+z subject to xyz = 8

A: max U=x+y+z subject to xyz=8

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 Lagrange multiplier method to solve Minimize z = x} + x + x Subject to x, + 2x, + 3x3 = 7…

A: We have to solve the following problem using the Lagrange multiplier, Min z=x12+x22+x32 Subject to :…

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of f(x, y) = 5xy…

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Q: Use langrage multiplier to maximize f(x,y)=25- x2 -y2 subject to 2x+y=10

A: We have f(x,y) = 25 -x2 -y2 subject to 2x + y =10

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

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Q: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

Q: Use Lagrange multipliers to solve Maximize…

A: Consider  fx, y=2x+2xy+y Subject to constraints   2x + y = 100