Maximize p = 7x + 5y + 6z subject to x + y – z s 12 x + 2y + z < 32 x + y < 20 x 2 0, y 2 0, z > 0. (х, у, 2) -(| %3D

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 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: Maximize p = 2x + y subject to x + 2y ≤ 11 −x + y ≤ 6 x + y ≤ 6 x ≥ 0, y ≥ 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: Maximize p= 2x + 5y subject to 2x + 3y =0, y>= 0

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Q: Minimize z = 3x + 5y 2y + 3x > 16 4y + 3x 24 Subject to 2y + 2x > 14 Minimum is at y = నా IV IV IV…

A: Plot the feasible region:

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: A multinational refreshments firm has 68 monetary units available to produce the maximum possible…

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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 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 Q=6x^2+2y^2​, where x+y=8

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Q: Maximize  P = x + 4y − 2z subject to 3x  +  y  −  z   ≤   40 2x  +  y  −  z   ≤   20 −x  +  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: Maximize z= 4x +3y エ+5y S 25 4x + y < 24 Subject to Maximum is Preview at Preview Preview VI VI ALAI…

A: Draw the given constraints to find the feasible area.

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 z = x + 3y 3x +7y > 63 54 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: 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: Minimize w=2y, +y2 + 3y, The minimum is w= when y, =.2 = and y, = (Type integers or simplified…

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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 p = 2x + 4y + 2z + 4w + 2v subject to x + y ≤ 1 y + z ≤ 1 z + w ≤ 3 w + v ≤ 4 x ≥ 0, y ≥…

A: Given LPP is, Max p=2x+4y+2z+4w+2v Subject to, x+y≤1y+z≤1z+w≤3w+v≤4x,y,z,w,v≥0

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

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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: 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: Minimize f(x, y) = x² + }y² subject to yx? = 8. Specify both the optimal solution Question 8 and…

A: To find - Optimal solution and optimal value.

Q: Minimize z = 4x + y y+ 5x 10 8y + 4x > 40 Subject to y + x Minimum is at AL ALALALAI %3D

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

A: Given optimization problem is max p=14x+10y+12zsubject tox+y-z≤12x+2y+z≤32x+y≤20x≥0, y≥0, z≥0 Since…

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

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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 c = 43x + 43y + 11z subject to 2x + z 2 3 2x + y - z 2 2 3x + y - zs 3 x 2 0, y 2 0, z 2 0.…

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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: 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: Maximize p = x – 2y subject to x + 2y s 6 x- 4ys 0 10x – 4y 2 0 х2 0, у 2 0. (х, у) %3D

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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: 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 ≤ 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 B = xy“, where x and y are positive numbers such that x + y = 3. The maximum value of B is

A: To maximize, B=xy2  --(1)Given that x+y2=3   ⇒y2=3-x   substituting in (1)

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.

Q: Minimize z = x + 4y Зу + 4x > 24 Зу + 2х > 16 Subject to 2y + 2x > 14 Minimum is at y = AI AL AI

A: The given problem is a linear programming problem. We are using the graphical method to solve. The…

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…

Q: (ii) Minimize Z = yi + 2y2 Subject to: Зу1 + 4у2 > 5 2y1 + бу? 2 6 yi + y2 2 2 У1, У2 — 0.

A: