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

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

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Q: 1. Use the method of Lagrange multipliers to find the minimum value of the function f(x, y) = x + y²…

A: Hello, since the questions posted have multiple questions, We will solve the first question for you.…

Q: One last example question for the quiz tomorrow, just let me know how to you'd do it so I can…

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Q: # 4. Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y) = 5x +…

A: When we want to find the extreme values of a function subject to some conditions, then we use the…

Q: 1. Determine non-negative x and y that satisfy: X-4y<0 X- y<2 -2x+3ys6 20 y20 and a. Maximize f =…

A: Plot the constraints and obtain their point of intersection x-4y=0      (1) x-y=2        (2)…

Q: 13. Use Lagrange multipliers in three variables to find the maximum and minimum values of f(x, y, z)…

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Q: 19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y + z,…

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Q: Find the values of​ x, y, and z that maximize xyz subject to the constraint 192−x−8y−16z=0.…

A: Use the lagrangian's multiplier  xyz+λ192-x-8y-16z Partially differentiate with respect to x, y, z…

Q: 1. Use agrange multipliers to find the extreme values of f(x,y)=2x²+ y on the circle x² + y² =1.

A: Here, f(x,y)=2x2+y and let g(x,y)=x2+y2, thus, the constraint is g(x, y)=1. So, fx(x, y)=4x; fy(x,…

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

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Q: Write down (without solving) the dual LP problem. Minimize c =s+6t+u 9s -t+v23,000 u- v 21,000…

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Q: Solve the following LP: Minimize C= 2x+5y Subject to: x+2y 2 4 3x+2y2 6 x20, y 2 0

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

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Q: Use the method of Lagrange multipliers to minimize the function subject to the given constraint.…

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Q: Given: C = 20x – 4y Subject to: 2x +y 28 .x and y 20 4x + y2 12 2x + 3y 2 12 Winat is the value of X…

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Q: 5. Maximize f = 2x + 5y + 2z subject to 2x + 7y + 9z < 100 6x + 5y + z 145 x + 2y +7z s 90

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

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

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Q: 5. Use Lagrange Multipliers to find the maximum and minimum values of the function f(x, y) = 3x – 4y…

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Q: 1 Consider two nonnegative numbers x and y such that x+y= 10 . Maximize and minimize y -

A: To find two non negative numbers x and y.

Q: Rewrite the objective fur Minimize w = 2y1 + 4y2 subject to: y, + y2 2 11 2у1 + Зу2 + Уз222

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

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Q: こッt dss txs 3x,+6x27X L27 X, + Yx2 +3x, E 14 X,Z0, X2 30,Xs ZO MAximize 2x2 2. eubJect to

A: The given problem is Maximize z=4x1+2x2+x3 Subject to 3x1+4x2+x3≤27x1+4x2+3x3≤14x1,x2,x3≥0

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: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize  S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

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: Find two nonnegative numbers x and y such that xy = 60 and 5x + 3y minimized. x =

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

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

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

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Q: 5. Maximize z = 3x, + x2 + 4x3 subject to 3x, + 3x2 + xz < 18 2x1 + 2x2 + 4xz = 12 %3D X1 2 0, x3 2…

A: We to convert the given linear programming problem in to dual problem. The solution is explained…

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

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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: 7. Use Lagrange multipliers to find the maximum and minimum values of f(r, y) = 4x – 8y subject to…

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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: Find the values of x and y that minimize 24x2+12xy+4y2+6x−4y+16 subject to the constraint…

A: given fx,y=24x2+12xy+4y2+6x-4y+16 subject to constraint  8x+2y+1=0 let ϕx,y=8x+2y+1 to find  value…

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

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Q: Find the maximizer of f(x, y) = x² + y² subject to 2x + y ≤2, z ≥ 0 and y ≥ 0.

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Q: TJse Lagrange multipliers to find global maximum and minimum values of f(r, y) = xy subject to the…

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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: What value of x minimizes C = 0.005x2 provided that C must be positive and x is within (0,1)

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Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z %3D subject to 2²…

A: Here the number of constraints is one that is g(x,y,z)=x^2+y+z^2-1=0, and the objective function is…

Q: Find the values of x, y, and z that maximize xyz subject to the constraint 1344 - x- 16y - 7z = 0.

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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.

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

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Q: Maximize P = 2x + 6y subject to x + 2y s 8 2x + ys 10 x, y 2 )

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