The maximum value of x + y subject to the constraint x² + y² = 1is _____.

Q: Solve the following problem using artificial variables. Maximize z= 3x, + 2x2 subject to the…

A: Given: Maximize z=3x1+2x2 subject to, x1+x2=704x1+2x2≥1105x1+2x2≤250x1,x2≥0 To solve the given…

Q: Find the maximum and minimum values of the following function, subject to the given constraint.

A: Function  :   fx,y=xy Equality Constraints  :  gx,y = x2+y2-25=0 Lagrange function  :…

Q: Consider the following problem; max F(x1 ,x2) = x1x3 subject to 2x? + x3 = 24 Discuss whether a…

A: from the given condition x22= 24-2x12 plug this into the function and make it in one variable f(x1)=…

Q: It requires that each variable to be greater than or equal to zero * maximization minimization O…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Minimise x + y- 2xy subject to the constraint y 1: Answer:

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Q: 1. Find the maximum value of x + y subject to the constraint x? + y² = 18

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Q: Consider the quadratic form f(x1, x2, x3) = xỉ+ x + 3x3 + 10x1x2. (i) The maximum value of f(x)…

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Q: Find the extreme values of the function subject to the given constraint. 13) f(x, y) = y2 - x2, x² +…

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Q: The minimum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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Q: The maximum problem is not in standard form. Determine if the problem can be modified so as to be in…

A: Given LPP is Maximize P = 3x1 + x2 + 8x3 Subject to constraints -x1 + x2 + x3 ≥ -103x1 - 8x2 ≥ -15x3…

Q: Find the minimum and maximum values of the function f(T, y) = 5xy subject to the constraint 4x2 + y?…

A: Explanation of the answer is as follows

Q: The maximum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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

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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: Maximize z = 3x + 4y subject to the following constraints. 2х + y s 4 -x + 2y 0 Enter -1 if there…

A: we solve this problem by simplex method

Q: 5.a. Suppose a wire 20 cm long is to be cut into two pieces, each of which will be formed into a…

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Q: Consider the function f(x, y) = x ^3 + y ^3 + 3xy and the constraint (x − 3)^2 + (y − 3)^2 = 9.…

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Q: Find the maximum and minimum values of the function f with constraint 64(x² + y²) ≤ 3.

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Q: Use Lagrange multipliers to find the maximum and minimum values of f (if they exist) subject to the…

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Q: The maximum value of x +y subject to the constraint x² + y² = 1 is Write in decimal form (two…

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

Q: 4. We have 45 square meters of material to make box with square base and no top. We want the maximum…

A: For the solution of the problem follow the next steps.

Q: Minimise x + y - 2xy subject to the constraint y 1: Answer:

A:

Q: Minimize and maximum z = 8x +7y subject to the constraints 2x + 3y ≥ 12 2x + y ≤8 x, y 20

A: Given,Max(z)=8x+7y,Such that,2x+3y≥12,2x+y≤8x,y≥0.

Q: Minimize the function f(x1, x2 ) = x21 + x22 when subject to the constraint x41 + x42 =1

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Q: Minimize x2 +2y², subject to the constraint 3-x-y%3D0. The minimum value of the function is. (Type…

A: Minimization

Q: Is the problem in standard form? Do not attempt to solve it. Maximize P = 4xı + X2 subject to the…

A: Solution:-As per guidelines I submit first question only.

Q: Find the minimum possible value of g = 60x + 10yand the values of x and y that give that value,…

A: The given LPP: minimize:  g=60x+10ysubject to3x+2y≥122x+y≥7x≥0, y≥0 Sketch this region and locate…

Q: 2. Find the absolute maximum and minimum of f(xx) = xX subject to the constraint g(xx) = x2 + 8y2 =…

A: We use langrange multiplier method

Q: Maximize and minimize the objective function z = x - y subject to the constraints x² +y? < 8;

A: Given that maximize and minimize the objective function  z=x-y subject to the constraints…

Q: Find the maximum and minimum values of x + y subject to the constraint x - 10x +y - 8y = 0. What is…

A: x2+y2 subject to the constraints x2-10x+y2-8y=0

Q: If we let x1-blush, x2=white, and x3=red; the correct way to write standard form of the constraint…

A: (Solving the first question as per our guidelines) Question: If we let x1=blush, x2=white, x3=red;…

Q: Consider the quadratic form f(x1, x2, 13) = x+x+ 6x + 18x1x2. = 1 is (i) The maximum value of f(x)…

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Q: 23. Find the maximum and minimum values of f(x.y) = x? + y? - 2x - 2y + 14 subject to the constraint…

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Q: Find the maximum value of x + y subject to the constraint x2 + y? = 18. %3D

A: We will use Method of Lagranges multiplier to fing maximum value

Q: 2.3/ Solving a minimization problem, find the minimum value of v=0.12x1+0.15x2 Subject to the…

A: Given: W=0.12x1+0.15x2 Subject to the constraints: 60x1+60x2≥300 12x1+6x2≥36 10x1+30x2≥90

Q: Consider the following problem; max f (x1 , x2) = -xỉ - x3 subject to (X1 – 1)³ > x? a. Check…

A: Given- Consider the following problem:  max fx1, x2 = -x12 - x22subject tox1 - 13 ≥ x22 To find-…

Q: Consider the following problem; max F(x1 ,X2) = x,x} subject to 6x + 3x3 = 72 Discuss whether a…

A: We have to- discuss whether a solution exist for this problem, check constraint qualification, find…

Q: This extreme value problem has a solution with both a maximum value and constraint. f(x, y) = 9xe,…

A: We can solve it by using lagrange multiplier.

Q: Maximize 72+x2 +xy - 8y², subject to the constraint 8-x-2y 0. The maximum value of 72+x2 +xy-8y2…

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Q: Is the minimum problem in standard form? Minimize C= 4x1 + 11x2 + x3 subject to the constraints X1 +…

A: Answer 1. (a) 2. (a)

Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) z = 2x + y x + y…

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Q: Q6: Create a model using an Algebraic Constraint block to find a solution for the non-linear…

A: Now graph of given function will be given by :

Q: Example 12.5. Find the maximum value of Z = 2x + 3y subject to the constraints: x + y ≤ 30, y ≥3,0 ≤…

A: The linear function that needs to be optimized(maximize or minimize) is called the objective…

Q: Maximize 54 - x -y, subject to the constraint x + 7y - 50 =0. The maximum value of 54 -x -y subject…

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Q: Minimize 3x2 + 4y2, subject to the constraint 192- 2x-4y 0. The minimum value of the function is…

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Q: The maximum problem is not in standard form. Determine if the problem can be modified so as to be in…

A: Linear programming problem