Maximize f = −x + 4y + 5z subject to the following constraints. x  +  y  +  z  ≤  55 −x  +  y  +  z ≥ 35 x  +  y  −  z ≥ 15

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Q: 4. Minimize 375 2x 3y subject to the constraints x2 0, y 2 0 x< 30, y < 25 x+y< 45 (x+y%15.

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A: Given that , fx,y,z=x2y2z2 and gx,y,z=3x2+5y2+7z2-10 According to our guidelines , We can answer…

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Q: Maximize 97+x2+xy−5y2​,subject to the constraint −10−x−4y=0.   The maximum value of 97+x2+xy−5y2…

A: To Determine :-  The maximum value of  97 +x2 + xy -5y2 subject to the constraint -10 -x -4y =0

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Q: 3. Minimize: Z = 20x + 10y and the constraints are : x + 2y < 40, 3x + y 2 30, 4x + 3y 2 60, x 2 0,…

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

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Q: 8) Maximize the function f(x, y) = 16-r² - y² subject to the constraint x + y = 6

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Q: MAXIMIZE F= x +2y subject to constraints: x + y ≥ 4 2x + y ≤ 8 y ≤ 4

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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

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Q: Minimize f(x,y,z) = x² + y+z subject to the constraint that x+y+z-9 = 0 + z* subject to the…

A: by using lagrange multipliers  methood

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Q: Find the maximum and minimum values of the function z=2x−yz=2x-y subject to the constraints…

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Q: Maximize P subject to the following constraints. P = 3x + 2y     x ≥ 0 y ≥ 0 x + y ≤ 5

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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: identify the feasible region for the following set of constraints: 3x1 – 2x2 > 0 2 x1 – 1 x2 0

A: We have to identify the feasible region for the following set of constraints:…

Q: Maximize f = 4x − y + 8z subject to the following constraints. x  +  y  +  z  ≤  16 x  −  y  +  z…

A: Use the simplex method to solve the given problem  Adding the slack and artificial variables…

Q: Maximize  z = 4x + 2y,  subject to the following constraints. 10x  +  5y ≤ 55 3x  +  4y ≤ 24 x  ≥…

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Q: 5. Maximize Z = 3x + 4y and the constraints are : x- y <-1; -x +y <0 and x, y 2 0.

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Q: Maximize p = x + 3y subject to the following constraints. x - 4y ≤0 4x - y ≥ 0 x+y≤ 10 x ≥ 0, y ≥ 0…

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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: 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: Maximize  z = 8x + 9y,  subject to the following constraints. −3x  +  y ≤ 3 2x  −  4y ≤ 8 x  ≥  0,…

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Q: Maximize f(x, y) = √11-x² - y² Constraint: x+y=2=0 )

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

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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: Consider the problem minimize f(x, y) = 2y – x² subject to x + y² < 1, x 2 0, y 2 0.

A: To minimize the function f(x,y), write all the constraints in the form of ≥ type.…

Q: Maximize z = 7x1 + 4x2 + 4x3 o Subject to 8x1 + 2x2 + 9x3 < 42 2x1 + 2x2 + 4x3 < 36 5x1 + 2x2 + 2x3…

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Q: Maximize f = 4x + 7y subject to the following constraints: x+2y≤7 5x+3y≤12 y≤3 x and y are…

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Q: Maximize 4x + y subject to the constraints  −3x + 5y ≤ 40 3x + y ≥ 5  x ≥ 0, y ≥ 0. (a)  Plot…

A: Maximize 4x + y Sub to 3x + 5y ≤ 40 3x + y ≥ 5 x ≥ 0, y ≥ 0.

Q: 12. Minimize 3x + 5y + z subject to the constraints x + y+ z2 20 y+ 2z 10 xN0, y>0, zN0.

A: Given: The value 3x + 5y + z is minimized and it is subjected to the constraints as follows,

Q: Find the minimum value of f subject to the given constraint. f(xy) = 3x +y -4xy; x+y= 24

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Q: Given the following 2 constraints, which solution is a feasible solution for a maximization problem?…

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Q: Minimize ƒ(x, y, z, w) = x2 + y2 + z2 + w2 subject to the constraints 2x - y + z - w - 1 = 0 and x +…

A: Use the Lagrange Multiplier technique with two constraints, to find the value of x,y,z,w at which…

Q: 4. Minimize: Z 5x + 4y and the constraints are : %3D 4x + y 2 40; 2x + 3y 2 90 and х, у 2 0

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Q: Find the maximum and minimum values of z = 16x + 34y, subject to the following constraints. 2x…

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Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

A: Solution:

Q: Minimize f(x,y,z) = 3x2+4y2+6z2 subject to the constraint 3x+7y+8z=20. a.) When the minimum…

A: Given that , fx,y,z=3x2+4y2+6z2 and gx,y,z=3x+7y+8z-20 According to our guidelines , We can answer…

Q: Find the minimum and maximum values of the function subject to the given constraint. (If an answer…

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Q: Maximize ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints 2y + 4z - 5 = 0 and 4x2 + 4y2 - z2 =…

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Q: 'SSP b1 Minimize z = 0.6x1 +0.35x2 subject to: 5x1 +7x2 2 8 4x1+ 2x2 2 15 2x1 + x2 2 3 x1 2 0, x2 2…

A: As per the guidelines I solved your first question complete. For more solutions please repost the…

Q: Minimize 3x + 5y + z subject to the constraints x+y + z2 20 y + 2z 2 10 x 0, y2 0, z20.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.