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

Q: Minimize C = 0.5x + 0.3y Subject to x + 2y ≥ 10 x + y ≥ 8 Where x, y ≥ 0 Find the optimal solution…

A: The given optimization problem is as follows. Minimize C=0.5x+0.3y Subject to  x+2y≥10x+y≥8x,y≥0…

Q: Use Lagrange multipliers to identify the critical points of the function:  f (x, y, z) = 3 − x2 −…

A: Given function is fx,y,z=3−x2−2y2−z2 subject to constraint 2x+y+z=2. We have to determine the…

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: Minimize f(x, y) = (2x^2) + (y^2) − xy subject to x + y = 8

A: Minimize f(x, y)=2x2+y2-xy subject to: x+y=8

Q: Maximize z = 15x + 15y Subject to 10x + 8y z 190 10x - 14y 2 - 30 x+y s 45 X, y z 0

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Q: minimize Z - 3x, + 6x2 pubject to 3x, + 2r, s 18 X + x2 2 5 XI 54 x2/x, s 7/8 X1. X2 2 0

A: The step-wise graph is drawn and shown below follow these to reach the answer.

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

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Q: Minimize c = 2x + 2y + 3z subject to x      +  z ≥ 140 2x  +  y     ≥ 70     y  +  z ≥ 70 x ≥ 0, y ≥…

A: We are given the following problem. Minimize c = 2x + 2y + 3zsubject to x      +  z ≥ 140 2x…

Q: Minimize c = x + y + z + w subject to 5х - у + w 2 9,000 z + w s 2,000 x + y 300 x 2 0, y 2 0, z 2…

A: The given problem is:

Q: Minimize g = 16y, + 47y,+ 6y3 subject to Yi + 3y2 4y1 + 6y2 + Y3 2 3 4y2 + Y3 2 1. (y1, Y2, Y3) =…

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

A:

Q: Minimize Q=6x^2+2y^2​, where x+y=8

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Q: Minimize c = 3x + y + 4z subject to x + y + z ≥ 70 2x + y ≥ 50 y + z ≥ 50 x ≥ 0, y ≥ 0, z ≥ 0 c =…

A:

Q: Minimize c = 5x + y + 2z subject to x + y + z ≥ 90 2x + y ≥ 80 y + z ≥ 80 x ≥ 0, y ≥ 0, z ≥ 0.

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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: Minimize ƒ(x, y, z) = xy + yz subject x2 + y2 - 2 = 0 and x2 + z2 - 2 = 0.

A: We will make use of the method of Lagrange Multiplier. Please see the primer below:

Q: Solve the linear programming problem

A: Given:

Q: 3,3 Solve by greaphing A. Minimize C=10 x +15y X +y <10 3x +y Zld s,t. +3y x20, y 20 -2x Z3

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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 (|

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Q: Minimize g = 3x + y subject to 4x + y > 11 3x + 2y > 12

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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: Minimize c= x + y + z + w Subject to + w > 2,000 + w 0, w 2 0. p = (х, у, z, w)

A: (1).

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: subject

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

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Q: Maximize p = 14x + 10y + 12z subject to x+ y -zs3 x+ 2y +zs 8 x+ ys 5 x 2 0, y 2 0, z2 0. P = (x, y,…

A:

Q: Maxcimize and Minimize Z= 2x+9y subject to: 9x +4y 2 36 9x-6y 2 0 y 56 xy20

A: Given ,  Linear programming problem Maximize and Minimize Z = 2x + 9y  Subject to :  9x + 4y ≥ 36 9x…

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

A:

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: 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: Find x = that minimizes q(x) = x² – xy + y² subject to %3D the condition ||x|| = 1 , %3D

A:

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: 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: 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: Minimize c = 8x + y subject to 10x + 20y ≥ 100 0.8x + 0.1y ≥ 2 x ≥ 0, y ≥ 0

A: minimize c=8x+ysbuject to constraint10x+20y≥1000.8x+0.1y≥2x≥0, y≥0

Q: Minimize c = x + y + z + w subject to + w 2 7,000 z + w< 2,000 5х - у x + y 600 x2 0, y 2 0, z 2 0,…

A:

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: Minimize H = 10x + 2y subject to   20x + 25y ≥ 100 12x − 30y ≤ 0 x ≥ 1 x ≥ 0, y ≥ 0

A: Given: 20x+25y≥100……112x-30y≤0……2   Also, x≥1x≥0y≥0……3   To minimize: H=10x+2y

Q: Minimize c = 48x + 48y + 14z subject to 2x + z ≥ 3 2x + y − z ≥ 2 3x + y − z ≤ 3 x ≥ 0, y ≥ 0, z ≥…

A: I have solved using simplex method in MATLAB  its difficult to show 4 iterations  I have clearly…

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: 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: 1] Use Gaussian Elimination Method. 7X + 5Y + 2Z = 10 = 5 0.7X0.4Y+0.9Z 5X + Y + 8Z = 8 -X+Y+Z =…

A: Guidlines note As per our company Guidelines we are supposed to answer only the first question.…

Q: Minimize c = x + y subject to x + 2y 2 3 2x + y2 3 x 2 0, y 2 0. (x,y) %3D

A: