Maximize P= 5x + 2y subject to 2x + y <= 16                2x + 3y  <= 48                 4x + 5y >= 28                 X>=0, y>=0

Q: 1 Maximize Z = 2x + 2y subject to 2x-y 2 -4 x- 2y 54 x+y 6 X,y20

A: Given: Maximize  Z=2x+2y Subject to, 2x-y≥4                   x-2y≤4x+y=6x, y≥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: Maximize p = 10x + 10y + 15z subject to x  −  y  +  z ≤ 13 2x  −  2y  +  z ≥ 15     −y  +  z ≥ 5 x ≥…

A: The given problem is: Maximize P=10x+10y+15z Subject to x-y+z≤132x-2y+z≥15-y+z≥5x,y,z≥0

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

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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: c) Maximize Z = 3x1+ 4x2+ 2x3 subject to: X1+ 2x2 + 0x3 s 10 2x1 + 2x2 + x3< 10 X1, X2, X3 20 d)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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

A:

Q: 2. Minimize Z = 4X1 + 4X2 + 2X3 Subject to X1 + 3X2 +6X3 >= 400 2X1 +6X2 + 4X3 >= 350 2X1 + 8 X2 + 5…

A: The LPP is solved using excel solver and all the steps are mentioned.

Q: Minimize c = x + y subject to x + 3y ≥ 4 3x + y ≥ 4 x ≥ 0, y ≥ 0.

A:

Q: SIMPLEX METHOD Maximize: 15x  + 8y Subject to: 8x  +  4y  = 0

A:

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

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Q: Maximize p = 2x + 2y + 2z + 2w subject to x  +  y  +  z  ≤  3 y  +  z  +  w  ≤  4 x  +  z  +  w  ≤…

A: To find- Solve Maximize p = 2x + 2y + 2z + 2wsubject tox + y + z ≤ 3y + z + w ≤ 4x + z + w ≤ 5x + y…

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

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Q: Maximize  p = 10x + 10y + 15z  subject to x  −  y  +  z ≤ 12 2x  −  2y  +  z ≥ 14     −y  +  z ≥ 4 x…

A:

Q: Maximize p = 5x − 4y + 3z subject to 2x + 2z ≤ 100 5y − 5z ≤ 50 2x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥ 0.…

A:

Q: Minimize Z=P1 dl+ +P1 đl- + P1 d2+ + P1 đ2- + P1 đ3+ + P1 đ3- Subject to: 4 X1 +3 X2 + 5 X3 + dl- -…

A:

Q: Maximize  f = 8x + 9y + 3z  subject to 2x  +  7y  +  8z  ≤  100   6x  +  3y  +  z  ≤  160   3x  +…

A:

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: Minimize Z= P1 dl+ + P1 dl-+ P1 đ2+ + P1 đ2- + P1 đ3+ + P1 đ3- Subject to: 4 X1 +3 X2 + 5 X3+ dl- -…

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

A:

Q: Minimize c = x − 4y subject to 3x + y  ≥  5 2x − y ≥ 0 x − 3y ≤ 0 x ≥ 0, y ≥ 0.

A: PROBLEM HAS AN UNBOUNDED SOLUTION

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

A:

Q: Maximize p = 3x + 6y + 3z + 6w + 3v subject to x + y < 2 y + z < 2 z + w < 6 w + v s 8 x 2 0, y 2 0,…

A: Here we need to maximize the function. We will find the solution by BigM method.

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: Maximize z=4x+4yz=4x+4y Subject to x+4y≤327x+y≤35x≥0y≥0x+4y≤327x+y≤35x≥0y≥0 Maximum is    at xx =…

A: We use graphical method for maximizing the given problem. For convenience, we take x = x1, y = x2.

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: 9. Maximize subject to 2x + 7x2 -2x, + x2S-4 X - 2x S-4 and x 2 0, x2 2 0.

A: 9 Given Maximize Z=2x1+7x2 Subject to −2x1+x2≤−4x1−2x2≤−4 And x1≥0, x2≥0 Solve equation −2x1+x2=−4…

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

A:

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

A:

Q: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 3 x + 2y + z ≤ 8 x + y ≤ 5 x ≥ 0, y ≥ 0, z ≥ 0.

A:

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

A:

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 = 3x + 6y + 3z + 6w + 3v subject to x + y < 4 y + z $ 4 z + w S 12 w + v s 16 x 2 0, y 2…

A: To maximize Maximize: p=3x+6y+3z+6w+3vSubject to:x+y≤4y+z≤4z+w≤12w+v≤16x,y,z,w,v≥0

Q: 3. Maximize p = x - y subject to 5x · 5y s 20 2х 10y s 40 x 2 0, y > 0. ANSWER ! p= 4; x = 4, y = 0

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: Maximize p = 2x + y subject to x + 2y ≤ 10 −x + y ≤ 5 x + y ≤ 5 x ≥ 0, y ≥ 0. p=(x, y) =

A: Given Max. p=2x+ysubject to x+2y≤10-x+y≤5x+y≤5x≥0 ,y≥0 by graphical method we  can solve the  given…

Q: Maximize p = 4x + 6y + 2.2z + 8w subject to ws 40.5 w2 10 1.2x + y +z+ 2.2x + y -z- 1.2x +y +z+…

A:

Q: Maximize p = 10x + 10y + 15z subject to x  −  y  +  z ≤ 12 2x  −  2y  +  z ≥ 15     −y  +  z ≥ 1 x ≥…

A:

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

A: We have,  x - y ≤ 4        and      -x + 3y ≤ 4 x ≥ 0 , y ≥ 0 We will find Maximize p = x by graph…

Q: Maximize p = 2x + y subject to x + 2y ≤ 10 −x + y ≤ 3 x + y ≤ 3 x ≥ 0, y ≥ 0. p=…

A: LINEAR PROGRAMMING. GRAPHICAL METHOD

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: Maximize p = 5x + 7y + 6z subject to x + y + z 100 x 2 0, y 2 0, z > 0. p = (х, у, 2) 3

A: The given constraints are, x+y+z≤150, x+y+z≥100 and x≥0, y≥0, z≥0. Obtain the coordinates x,y,z…