Minimize c = 5x + y + 5z subject to x + y + z ≥ 80 2x + y ≥ 50 y + z ≥ 50 x ≥ 0, y ≥ 0, z ≥ 0.

Q: Maximize f = x + 3y subject to x + 4y 0 Rectan

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Q: Maximize p = 4x + 3y subject to −3x + y ≥ 17 x + 5y ≤ 19 x ≥ 0, y ≥ 0. p= X,Y=

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Q: Maximize p = 6x + 5y + 4z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. p=(x, y,…

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Q: Minimize g = 9x + 8y + 12z subject to x + y + y + 2z 2 8 X 2 3. (x, y, z) = =

A: Given LPP is, Min g9x+8y+12zSubject to, x+y+z≥7     y+2z≥8             x≥3 W e can use simplex…

Q: Maximize p = 7x + 5y + 6z subject to x + y - z s 12 x + 2y + z s 32 x + y s 20 x 2 0, y 2 0, z 2 0.…

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Q: A consumer can spend £1280 on two goods x and y, costing £12 and £16 per unit respectively. His…

A: This is a problem of optimization.

Q: Minimize the function x^2+y^2+z^2 subject to constraint x+2y+3z=6 and x+3y+9z=9

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Q: Maximize p= 2x + 5y subject to 2x + 3y =0, y>= 0

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Q: Maximize P= 5x + 2y subject to 2x + y = 28                 X>=0, y>=0

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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 and minimize f(x, y, z) 3x + y + 2z subject to 2x + 3y2 + 4z² 210 %3D

A: We have to use lagrange multipliers.

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

Q: Maximize P= 4x + 7y subject to 2x + y = 0, y>= 0

A: Hi, Since the method of solving the given problem is not mentioned, herewith, I solve the given…

Q: Minimize c = 4x + y + 5z subject to x + y + z 2 70 2x + y 2 50 y + z2 50 x 2 0, y 2 0, z 2 0. C =…

A: The given constraints are  x+y+z≥70, 2x+y≥50, y+z≥50 and x≥0, y≥0, z≥0. Obtain the coordinates x, y,…

Q: Minimize : 4yi+3y2+y3 3y1 +y2 + 2y3 > 30 4y1 +3y2 < 25 2yı +3y2+y3 2 45

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Q: Find all absolute extrema of f (x, y) = x² + y² – 25 subject to the constraint y = +

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Q: 6. Minimize Z = 20x + 30y %3D asiminiM subject to 2x +y 56 x, y 2 0 7. Minimize

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Q: Let æ and y be positive numbers such that a+y 21. Find the values of x and y that minimize 3x +y.…

A: We will solve the given problem using Lagrange Multiplier Method.

Q: Maximize p = 14x + 10y + 12z subject to x + y - z3 3 x + 2y + z s 8 x + y < 5 x2 0, y 2 0, z 20. p =…

A: Given problem is MAX  p = 14x + 10y + 12zsubject tox + y - z ≤ 3x + 2y + z ≤ 8x + y ≤ 5x≥0, y≥0, z≥0…

Q: Maximize Subject to Maximum is X = y = z = 2x + y x + 5y < 4x + 5y ≤ X Y 25 40 νι νι ΛΙ ΛΙ 00 at

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Q: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥…

A: We will be solving the given LPP by simplex method writing the problem by adding slack variables…

Q: Minimize the function ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints x + 2y + 3z = 6 and x +…

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Q: Minimize c = 9x + 9y subject to x + 2y ≥ 35 2x + y ≥ 35 x ≥ 0, y ≥ 0. c= (x, y)=

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Q: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥…

A: Here, There are three variable given in the question and we have to maximize the objective function…

Q: Solve the linear programming problem

A: Given:

Q: Maximize: z =x+ 10y subject to: 6x+ 5y < 30 10x +ys 30 X20, y 2 0 The maximum value is

A: Constraints: 6x+5y≤3010x+y≤30 Graph each inequality by finding x  and y intercepts 6x+5y=30x…

Q: Maximize p = 9x + 6y subject to x + 3y ≥ 6 −x + y ≤ 4 2x + y ≤ 8 x ≥ 0, y ≥ 0.

A: Max P=44 at (x,y)=(1.33,5.33)

Q: Maximize f (x, y) = x + y subject to g (x, y) = x² + y = 4

A: Given function fx,y=x+y......(1) gx,y=x2+y2=4......(2) Applying the Lagrange multiplier, note that…

Q: Maximize p = 7x + 5y + 6z subject to x + y – z s 12 x + 2y + z 0. (х, у, 2) -(| %3D

A: When a LPP involves more than two variables, the solution for the LPP cannot be found using…

Q: Maximize p = 2x + y subject to x + 2y ≤ 10 −x + y ≤ 8 x + y ≤ 8 x ≥ 0, y ≥ 0

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Q: Minimize F=16x+28y subject to x+ 2y≥14 x+y≥12 2x+y≥16 x, y≥0

A: We first draw the inequalities using a graphing calculator.

Q: Minimize the function f(x, y) = squareroot(y^2-x^2) subject to the constraint x+2y-5=0

A:

Q: Maximize p = 6x + 8y + 4z subject to Зх + y + z 0, z > 0. p = (х, у, 2) %3D

A:

Q: Maximize p = 4x + 5y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0 p= x,y,z=

A: x,y,z= 0,150,0 p= 750 Normally these methods are solved by simplex methods but this question can…

Q: Maximize p = x + y subject to x + 3y ≤ 8 3x + y ≤ 8 x ≥ 0, y ≥ 0.

A: Solve LINEAR PROGRAMMING Problem by using graphical method

Q: Maximize Z=2x+y; subject to y≤10 2x+5y≤60 x+y≤18 3x+y≤44 and x≥0,y≥0

A: Given: Min: Z=2x+yy≤10…

Q: Minimize: Z = x + 3y Subject to: x + 2y > 6 х — у <3 X, y 2 0

A:

Q: Maximize p = 12x + 8y subject to x + y ≤ 25 x     ≥ 10 −x + 2y ≥ 0 x ≥ 0, y ≥ 0.           p =…

A: Max P= 266.67 (x,y)=(16.67,8.33)

Q: Maximize p = x + 2y subject to x + 4y ≤ 22 4x + y ≤ 13 x ≥ 0, y ≥ 0.

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Q: Maximize  p = x − 3y subject to   2x  +  y ≥ 8     y ≤ 7 x ≥ 0, y ≥ 0     (x,y) =

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Q: Minimize p = 4.x – 2y subject to 3x + 2y > 30, |-x + y 0, y > 0.

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Q: Minimize c = 4x + y + 2z subject to x + y + z ≥ 100 2x + y ≥ 80 y + z ≥ 80 x ≥ 0, y ≥ 0, z ≥ 0. p=…

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Q: Minimize g = 3x + 4y subject to the constraints

A: The given linear programming problem is minimize g=3x+4y subject to the constraints…

Q: Maximize p = 8x + 6y subject to x + y 0 X 2 0, y > 0. p = (x, y) =

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Q: maximize p:6x+y +32 subiect to 3xty <15 2x+2yt22=20 Y-0 7:0

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Q: Maximize p = 5x – 4y + 3z subject to 2x + 2z s 100 5y - 5zs 50 2x 5y s 50 x 2 0, y 2 0, z z 0. (x,…

A: Given problem: Max p=5x-4y+3z subject to 2x+2z≤1005y-5z≤502x-5y≤50x≥0, y≥0, z≥0 By introducing slack…

Q: minimize z -y+: subject to: r-y22 I- 2y <1 2 is unrestricted.

A: Given that min x-y+zs.t    x-y≥2       x-2y≤1       y+z≤1x,y≥0 and z isunrestricted

Q: Maximize p = 3x + 4y + 2z subject to y + zs 5 x + 2y + zS 5 y + zs 4 x 2 0, y 2 0, z 2 0. Зх + x + p…

A: Query is to maximize p=3x+4y+2zsubject to3x+y+z≤5x+2y+z≤5  x+y+z≤5x, y, z≥0

Q: Minimize c = 2x + 2y + 3z subject to + z2 180 2 90 y + z2 90 x 2 0, y 2 0, z20. 2x + y (x, y, z) =

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Q: Maximize p = 2x + y subject to x + 2y ≤ 12 −x + y ≤ 8 x + y ≤ 8 x ≥ 0, y ≥ 0.

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