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

Q: Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 40     2y − z ≥ 10 2x − y + z ≥ 20 x ≥ 0, y ≥…

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

Q: 19. Minimize C = 3x + 5y subject to 3x + y 27 x + 2y 2 4 x, y 2 0

A:

Q: minimize z=4x+6y subject to: 3 0 y > 0

A: We are going to solve the give. Problem by graphical method.  In the shaded region, the linear…

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

A: Here we use simplex metod.

Q: 32. Maximize and Minimize Z = 7x + 36y 2x + 3y > 6 -3x+ 4y < 8 5x – y < 15 Subject to :

A: We first draw 2x+3y=6 , -3x+4y=8 and 5x-y=15(using graphing calculator)

Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

A:

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.…

A:

Q: 1. Maximize z= 3x + 7y subject to %3D 3x – 2y 0, y>0.

A:

Q: Minimize and maximize z=30x+20y Subject to 3x+y ≥ 36 x+y ≥ 24 x+3y ≥ 30 x, y ≥ 0

A: Given :- Minimize and Maximize  z = 30x +20ys.t.3x +y≥36   x+y≥24 x+3y≥30      x,y≥0

Q: Maximize p = 6x + y + 3z subject to 3x + y < 15 2x + 2y + 2z < 20 x 2 0, y 2 0, z 2 0.

A:

Q: 2. Minimize: Z = 20X₁ + 10X₂ + 80X3 Subject to: X₁ + X₂ + X3 ≥ 6 : 2X₁ + 4X₂ + X3 = 20 2X₁ + X₂ ≤ 5…

A: We have to find the solution to the given problem.

Q: Minimize C= 3x + 7y subject to x +3y >= 15                   4x + y >= 16                  X>=0,…

A:

Q: Minimize Z= 8x, + 6x, Subject to: 3x, + 4x, 2 6 5x, + 2x, < 10 x, + 4x, 5 4 x, y 2 0

A: We will find out the required solution.

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

A:

Q: 8. Maximize Z = 0.5x –0.3y Subject to x- y >-2, 2x - y<4, 2x+ y = 8, *** x, y 2 0.

A:

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: 7. Minimize C=5x+2y x+3 y215 Subject to 2 x+ y2 20 x, y20

A: Find the attachment

Q: Minimize g = 7x + 6y subject to 5x + 2y > 16 3x + 7y > 27

A: Graph the feasible region of the system of inequalities using any graphing utility.

Q: c) Maximize Z = 3x1+ 4x2+ 2x3 subject to: X1 + 2x2 + 0x3 < 10 2x1 + 2x2 + X3 S 10 X1, X2, X3 2 0 d)…

A: Note: We are entitled to solve one question at a time. As the specified one is not mentioned, So we…

Q: Use Simplex method to maximize Z = x + 2y Subject to 2x + y <8 2x + 3y < 12 I, y 2 0

A:

Q: Maximize p = 5x − 4y + 3z subject to 10x + 10z ≤ 100 5y − 5z ≤ 50 10x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥…

A:

Q: 4. Maximize : Z =10x+30y Subject to: 2x+ y 2 16 x+y <12 x+2y 214 х, у 20

A:

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…

A:

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: Z = 2x + 3y   Subject to –2x – y ≥ –10 x + 3y ≥  6 x ≥ 0 y ≥  0

A: To maximise the equation Z=2x+3y, the equations -2x-y≥-10 and x+3y≥6 are to be graphed and shaded.…

Q: Maximize p = 14x + 10y + 12z subject to x + y - zs 12 x + 2y + zs 32 x + ys 20 x2 0, y 2 0, z 2 0. p…

A: the given constraints are  x+y-z≤12x+2y+z≤32x+y≤20 adding the slack variables…

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

A:

Q: 4.2 А Minimize C= -2r – 3y subject to 3x + 4ys 24 7x – 4y s 16 x20, y z 0 Screen clipping taken:…

A: (A) The given L.P.P is          Minimize C=-2x-3y           subject to…

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 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 = 4x + 12y + 6z + 100 Subject To: 4x + 10у + 7z 0, y > 0, z > 0} x = p = = Z VI VI AI +

A:

Q: To maximize Z= P 15x + P 8y Subject to: 5x + 2y ≤ 60 3x + 2y ≤ 48 x, y ≥ 0

A:

Q: Minimize c = 12x + 12y subject to x + 2y ≥ 14 2x + y ≥ 14 x ≥ 0, y ≥ 0. p= x,y=

A:

Q: 18. Maximize P = 4x – y subject to 2x – 3y 2 -6 2x + y < 6 x + 3y 2 3

A:

Q: 6. Maximize z-x, + 2x2 + 3x3 + x4 subject to 2x, + x, + x, + 2x, s 18 3x, +5x2+ 2x,+ 3x, s24 3x, +…

A:

Q: Maximize z = x + 5y 2x + 7y < 49 5x + y 40 Subject to 00 VI VI AL AI నా

A:

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

A:

Q: Solve Beaver Creek Pottery Company problem (in Ch. 2). Maximize Z = $40x1 + $50x2 subject to 1x1 +…

A:

Q: Minimize D= 10x + 2y subject to 20x + 25y 2 100 12x - 30y <0 x21 x20, y 20 03)

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Give the optimal solution. Minimize z = 4x + 8y subject to: x + 1.5y ≥ 45 2x+ 0.5y≥ 40 x+y ≤ 40 x,y≥…

A:

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: 2. Minimize z - 6х, + 6х, + 8x, + 9х, subject to X, + 2xz + x3 + x4 2 3 2x, + x3 + 4x3 + 9x4 2 8 X,…

A: Given-  Minimize Z = 6x1 + 6x2 + 8x3 + 9x4subject tox1 + 2x2 + x3 + x4 ≥ 32x1 + x2 + 4x3 + 9x4 ≥ 8x1…

Q: Minimize : 6y+4y2+2y3 2yı +2y2 +y3 2 2 yi +3y2 +2y3 2 3 Yi +y2 +2y3 2 4

A: For convenience, we take y_1=x_1, y_2=x_2 and y_3=x_3.

Q: Minimize: z = 4x + 8y subject to: х + 1.5у 2 45 2х + 0.5у > 40 х +у < 40 х, у 2 0

A: We are given a Linear Programming problem : z=4x+8ySubject to contraints…

Q: Maximize p = 6x + 8y + 4z subject to 3x + y + z ≤ 5 x + 2y + z ≤ 5 x + y + z ≤ 4 x ≥ 0, y ≥ 0, z ≥…

A: Given that                       Max p=6x+8y+4z   subject to constraints                     3x + y…

Q: 28. Minimize and maximize z = 400x + 100y %3D subject to 3x + y 24 x +y 16 x + 3y 2 30 x, y > 0

A:

Q: 2. Minimize: Z 20X1 + 10X2 + 80X3 %3D Subject to: X1 + X2 + X3 > 6 2X1 + 4X2 + X3 = 20 2X1 + X2 < 5…

A: We have to find the solution to the given problem.