Maximize p = 4x + 12y + 6z + 100 Subject To: 4x + 10у + 7z < 480 + 60 And Where: {x> 0, y > 0, z > 0} x = p = = Z VI VI AI +

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

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Q: Maximize P= 7x+9y Subject to: 2x+ y12 x, y 20

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Q: Maximize p = 5x – 4y + 3z subject to 10x + 10z 0. p= (х, у, 2)%3D

A: Here we use simplex metod.

Q: Solve using the Graphical Method: Minimize z = 3x, + &x2 subject to X1 + x2 2 8 2x, – 3x2 s 0 xị +…

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

A: Given the LPP problem:                                  Min.p=-2x+4y     2x+3y≥30       x-y≤15…

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: Maximize p = 6x + y + 3z subject to 3x + y < 15 2x + 2y + 2z < 20 x 2 0, y 2 0, z 2 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: minimize Z = 8x, + 2x2 subject to 2x, - 6x2 s 12 5x1 + 4x2 2 40 X1 + 2r, 2 12 X2 S 6 X1, X2 0

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Q: Minimize c = 6x + 14y Subject to the constraints: 14x + 7y 2 43 3x + 7y 2 21 -x + y 2 -5 x, y 2 0

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Q: 4. Minimize: Z = 3X₁ +5X₂ + 5X3 + 4X4 Subject to: 8X₁ + 2X4 ≤ 100 4X +3X - 90

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: 5x, + 3x2 2x, + 5x2 2 10 3x + x22 6 X + 7x2 2 7 Minimize subject to and x 20, x2 2 0.

A: We use graphical method to solve the given problem Minimize 5x1+3x2 Subject to 5x1+3x2 ≥10   3x1+…

Q: Adi maximizes his utility by consuming goods x and y and his utility function is given by: Max U =x…

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Q: 3x + 8y ≤ 32 6x + 4y ≤ 34 x ≥ 0, y ≥ 0.

A: P=15.5 (x,y)=(5.67,0)

Q: Maximize p = x + y subject to X + 2y 2 20 2x + 2y 20 X > 0, y > 0.

A: To maximize p=x+y subject to following constraints x+2y≥202x+2y≤202x+y≥20x≥0y≥0

Q: Use the simplex method to solve. Minimize w= 6y, +Y2 subject to: 5y, + 5y, 2 25 5y, + y2 2 26 y, 20,…

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Q: 4. Maximize Z = 3x1 + 2x2 + x3 Subject to 2x1 +x2 + x3 < 150 2x1 + 2x2 + 8x3 < 200 2x1 + 3x2 + x3 5…

A: maximise Z= 3x1+2x2+x3 subject to 2x1+x2+x3≤150 2x1+2x2+8x3≤200 2x1+3x2+x3≤320 x1,x2,x3≥0 adding the…

Q: Maximize Z = 19x1 + 8x2 subject to 9x1 + 16x2 0

A: Consider the given problem.

Q: 2) Maximize z = 7x1 + 2x2 + x3 subject to: x1 + 5x2 + 7x3 <8 X1 + 4x2 + 11x3 s 9 x1 20, x2 20, x3 20…

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Q: 34. Minimize and maximize P = 12x + 14y subject to -2x + y 2 6 x + ys 15 3x - y 2 0 x, y 2 0

A: Given, minimize, and maximize                P=12x+14y     subject to              -2x+y≥6…

Q: Maximize Z = 20x1 + 8x2 subject to 16x1 + 8x2 0 %3D

A:

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

A: To solve the given linear programming problem: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80…

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: 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: 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 P=5x-5y   subject to 2x+y≤30 x+2y≤24 x,y≥0

A: We can use the graphical method to find the maximum value of P for this linear programming problem.

Q: 1) Maximize z = 4x1 + 2x2 subject to: 2x1 + 3x2 <6 X1 + 3x2 < 4 2x1 + 2x2 <8 X1 20, x2 20 with

A: Here we solve the given problem of LPP by simplex method.

Q: Maximize P = 3x + 5y +4z 3x + 10y + 2z s 115 subject to 5x + 3y + 8z s 9 Sx + 10y + 3z s 108 x 20, y…

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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: Use Lagrange multipliers to find the extreme values of F(x,y)=x^2-y^2  subject to the constraint…

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Q: Minimize ?=2x+3y subject to:  4x+y≥7  x+y≥4  2x+5y≥14  x, y≥0 Corner points at…

A: The Graph is as shown below:

Q: x + 2y < 48, x + y< 30 2x + y < 50 x + 10y < 200 Use the simplex method to maximize f (x, y) = 3x +…

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Q: Maximize P = xyz subject to x + z = 12, y + z = 12, x ≥ 0, y ≥ 0, and z ≥ 0

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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: Solve the linear program Maximize p = 3x+ 2y Subject to: 3x + y 0

A: Maximize p=3x+2y Subject to: 3x+y≤30x+y≤12x+3y≤30x≥0, y≥0 Now the graph is,

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

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Q: 2. Maximize Z = 8x +6 x Subject to: 10x,+ x2s 12 2x1+ 5 x2s 16 X120 HNA

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Q: Minimize Bubject tos * +2x2+3x3-12 0 X2+ 2xg +3x4-4 0 by direct substitution method.

A: Given, fx=x1-x22+x2-x32+x3-x44---1 subject to the constraints x1+2x2+3x3-12=0…

Q: Maximize: z=5x+y subject to: x-ys3 5x + 3y ≤ 75 x20, y20

A: Given,           Maximise: z=5x+y    subject to:                      x-y≤3…

Q: the system of inequalities. O x+ ys30 x2 10 y2 10 O 2x + ys 30 x2 10 yz 10 O x+y2 30 X< 10 y< 10 O…

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Q: Maximize p = 3x + 4y subject to 0.2x + 0.2y20.4 X 2 0, y 2 0. (x, y) unbounded

A: Given : LPP       Maximize p=3x+4y subject to                      0.2x+0.2y≥4y≤6x≥0, y≥0 To find :…

Q: Maximize f 3x +y+ 5z 0, y 2 0, z >0 6x +7y + 8z subject to If no solutions exist enter DNE in all…

A: Maximize f=6x+7y+8z subject to 3x+y+5z≤205x+4y+3z≤182x+5y+4z≤24x≥0, y≥0, z≥0

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 = 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: Maximize p = 2.1x + 4.1y + 2z subject to 3.1x + 1.2y + z ≤ 5.5 x + 2.3y + z ≤ 5.5…

A: According to the given information it is required to solve the given problem:

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

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Q: 3. Minimize: Z = 40X₁ + 80X2 + 50X3 Subject to: X₁ + 2X₂ + 3X3 ≥ 18 X₁ + 4X₂ + X3 ≥ 60 2Y 6Y A. Y…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

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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Q: Maximize z = 5x + 6y %3D subject to: 3x + 2y s 12 x +2 y < 8 y 2 0

A: See attached file for a step by step explanation.