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

Q: Solve the problem Max (min) 3x² + 2y² +2² subject to the constraints z² = x² + y² and x-2z = 3

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Q: Find the minimum and maximum values of the function subject to the given constraint f(x, y) = 12x² +…

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Q: Find the maximum possible value of f = 100x +100y and the values of x and y that give that…

A: GIVEN f = 100x +100y we need to find the maximum possible value of f,

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

A: Use Lagrange theorem

Q: 9. Let f(x, y) = 2x + 3y. Find the minimum and maximum values of f subject to the constraint x2 + y?…

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Q: Determine the maximum value of f (x, y) 2.x! 2x1/4,3/4 subject to the constraint g(x, y) = x+ 3y – 4…

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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: 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: Let M and m be the maximum and minumum values of the function f(x,y)=8x2−2y subject to the…

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Q: value

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Q: Maximize the objective function subject to the constraints 4x + y ≤ 56, 5x + 4y ≤ 92, x ≥ 0, and y…

A: These feasible region is shaded

Q: The minimum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is equal to (1,…

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Q: The minimum value of f(x,y) = x^2y + 3y^2 - y subject to the constraint x^2 + y^2 = 10 is.........?

A: We need to find the minimum value of f(x,y) = x2y + 3y2 - y subject to the constraint x2 + y2 = 10.…

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: 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: 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 the minimum and maximum values of the function subject to the given constraint. f (x, y) = 2x +…

A: Given: f (x, y) = 2x + 3y, x2 + y2 = 4

Q: Find the minimum value of w = x2 + y2 + z2 subject to the constraint x + y + z = 9. w =

A: Answer

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: What is the minimum value of f(x, y) =x +4y -2x+8y subject to the constraint X+2y=7

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Q: 1. Find the maximum value of the function P(x,y) = 3x + 2y subject to the constraints x + 2y 0, and…

A: The function, Px,y=3x+2y subject to constraints x+2y≤4, x-y≤1, x≥0, and y≥0.

Q: Find the relative maximum value of ​f(x,y)=3xy​, subject to the constraint x+y=4 Find the relative…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Find the maximum value of P(x,y) = 12x + 15y subject to the constraints: x>0 y 0 4x + 3y 12

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Q: Calculate the maximum and minimum values of x^2+y^2 subject to the constraint x^2−2x+y^2−4y=0

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Q: Find the maximum and minimum of f(x, y) = xy subject to the constraint 4x + y = 72

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Q: Find the maximum and minimum values of z=6x+3y subject to the constraints 2x+2y is greater than or…

A: From the given statement,

Q: Calculate the minimum value of 3x + 6y subject to the following constraints: X+y22 x+ 2y s 5 x+ys6 X…

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Q: Find the maximum and minimum values of f (x, y) = xy subject to the constraint 4x + y = 8.

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

Q: Maximize the objective function subject to the constraints 4x + y ≤ 44, 5x + 4y ≤ 88, x ≥ 0, and y…

A: Given: 4x + y ≤ 44, 5x + 4y ≤ 88, x ≥ 0, and y ≥ 0. Z = 4x + y

Q: Find the maximum value of Z = 2x + 3y +y< 30, y 2 3, 0<ys 12, x – y 2 0, and 0<x < 20. subiect to…

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Q: . Find the maximum and minimum value of f (x, y) = ry for the constraint 4.2 + 9y2 = 32. %3D

A: To find maximum and minimum of function f(x,y) = xy for the constraint  4x2 + 9y2 = 32.

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: min f (x, y) = (x – 4)² + (y – 4)² subject to x + y< 4 and x+ 3y < 9

A: Step:-1 By Lagrange Multiplier Method:- Take Lx, y, λ, μ =x-42 + y-42 -λx+y -4 -μx+3y-9 ∂L∂x=2x-4…

Q: The maximum value of the function f(x,y) = (xy) subject to the constraint %3D g(x,y) = + y? = 1, is…

A: Consider the given equation. fx,y=xy6x24+y2=1 Now, apply the Langrenges multiplier. Find the…

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: Calculate the maximum value of 10x + 23y subject to the constraints below: x + 2y < 14 X-y2 1 y 2 1…

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Q: The minimum point of the function f(x, y) = x + y - 8 subject to the constraint x + y = 2 is at, -…

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Q: Find the minimum value of the function z = 3x+11y subject to the following constraints. x<11 ys 12…

A: Given, min z=3x+11ySubject to the constraintsx≤11y≤123x+y≥183x+7y≥54

Q: Find the absolute maxımum and minimum of f(r, y) = x² + y subject to the constraint 3x2 + 4y? = 5

A: To find the absolute maximum and minimum values of f(x,y) subject to constraint g(x,y).

Q: Find the indicated extreme value of f subject to the given constraint  maximum of f(x,y) = 4x+6y…

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Q: Find the minimum and maximum values of the function subject to the constraint. = 3x + 2y + 4z, x2 +…

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Q: QUESTION 15 Calculate the minimum value of 8x + 6y subject to the following constraints: x + y2 24 x…

A: To find- Calculate the minimum value of 8x + 6y subject to the following constraints: x + y ≥ 24x +…

Q: Find the maximum and minimum values of f(x, y) = 4x2 + y2 subject to the constraint x2 + 4y2 = 16.

A: The given constraint equation is: x2+4y2=16     ...(1) Consider g(x,y)=x2+4y2-16 And the function…

Q: Find the maximum and minimum values of f(x, y, z) = x + y + z subject to the constraints x2 -y2 = z,…

A: The surface is given by f(x, y, z) = x + y + z. The constraints are x2 -y2 = z, x2 + z2 =4. Consider…

Q: Find the maximum value of P = x + 6y subject to the following constraints: (2x +4y < 10 X+9y < 12 x…

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