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

Q: Maximize p = x - y + z + w subject to x + y + z< 5 y + z + w s 5 x + z + w s 6 x + y + w< 6 x 2 0, y…

A: given maximize p=x-y+z+w  subject to x+y+z≤5y+z+w≤5x+z+w≤6x+y+w≤6where x,y,z,w≥0 to find - value of…

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

A: Given LPP is, Min g9x+8y+12zSubject to, x+y+z≥7     y+2z≥8             x≥3 W e can use simplex…

Q: Maximize p = 4x + 6y + 2.2z + 8w subject to 1.2x+y+z+w≤81 2.2x+y−z-w≥20 1.2x+y+z+1.2w≥21 x ≥ 0, y ≥…

A: Step:-1 Given that  maximize  p =4x +6y +2.2z+8w1.2 x + y+z +w ≤812.2 x + 1 -z -w ≥201.2 x +y +z…

Q: Minimize z = 3x + 2y 4y + 5x 2 36 Зу + 2х > 18 Subject to 2y + 2x > 16 Minimum is at y = AL AL AL AI…

A:

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: Minimize f(x,y,z) = x² + y° + subject to the constraint that x +y+z - 9 = 0

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Q: Maximize and minimize p = x + 2y subject to x + y > 2 x + ys 10 х — уs 2 х — у2 -2.

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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 z = 3x + 4y 4y + 5x 32 Зу + 2а > 16 Subject to y + x 7 Minimum is at y = * ALALALALAI

A: Please refer to the image below

Q: Minimize f(x,y,z) = x² + y+z subject to the constraint that x+y+z-9 = 0 + z* subject to the…

A: by using lagrange multipliers  methood

Q: Maximize P= 4x + 7y subject to 2x + y = 0, y>= 0

A: Hi, Since the method of solving the given problem is not mentioned, herewith, I solve the given…

Q: Minimize C=3x-4y x+3y<15 20. subject to 4x+y<16 x20, y 20 (a) C = -40 @ (0,10) (d) C = 10 @ (10,5)…

A: To solve the given linear programming problem: minimize C=3x−4ySubject to:x+3y≤154x+y≤16x≥0,y≥0

Q: Minimize : 4yi+3y2+y3 3y1 +y2 + 2y3 > 30 4y1 +3y2 < 25 2yı +3y2+y3 2 45

A:

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

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

A: Solution: Given fx,y,z=x+y+z Constraints are x2+y2=4        ......(1) x+y+2z=1   ......(2) Suppose…

Q: Solve the linear programming problem

A: Given:

Q: linearize the nonlinear equation in the region defined by 4 < x < 5, 3 < y < 4 z = y?Vx + 5e(3x-y²)

A: Given, z=y2x+5e3x-y2 The goal is to linearize the given equation around the operating point,…

Q: Minimize z 5.97x1+4.5x2+ 4.41x3 (hundreds of dollars) s.t: 7x1+?x2+?x3 > 140 (production capacity:…

A:

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

A:

Q: Maximize f (x, y) = x + y subject to g (x, y) = x² + y = 4

A: Given function fx,y=x+y......(1) gx,y=x2+y2=4......(2) Applying the Lagrange multiplier, note that…

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

A:

Q: LP Model Minimize: subject to: z = x-y 4x-3y ≤0 x+y ≤ 10 x.y 20

A: We have given a LP model ,  min z = x - ysubject to,         4x - 3y ≤ 0         x + y ≤ 10…

Q: Linearize the nonlinear equation f(r,y) = r + 8.ry + y in the region defined by 2 <r < 4, 10 <y <…

A: The Linearization of a function f(x,y) at a point (a,b) is L(x,y) = f(a,b)+(x-a)fx(a,b)+(y-b)fy(a,b)…

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: Find critical points and relative extrema using Lagrange multipliers. 1. f(x,y) = y3 + xz2 subject…

A: The given function fx, y=y3+xz2 Consider the constraint is as follows: gx, y=x2+y2+z2-1  Find the…

Q: subject

A:

Q: 13. Use Lagrange multipliers to find the extrema of the function f(x,y) = (x + 5)² + (y – 1)²…

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Q: Minimize: Z = x + 3y Subject to: x + 2y > 6 х — у <3 X, y 2 0

A:

Q: Solve the standard minimization problem using duality. (You may already have seen some of them in…

A: Given problem is: Min c=s+t+u subject to 3s+2t+u≥242s+t+3u≥24s+3t+2u≥24s,t,u≥0

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

A:

Q: Minimize c = x + y + z + w subject to w 7,000 + w S 5,000 5x - y x + y 300 x 2 0, y 2 0, z 2 0, w 2…

A: The given problem is:

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.…

A:

Q: Minimize z = x, + 2x2 Subject to 2x, + 4x, s 160 X1 – Xz = 30 X12 10 X1, X2 2 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 = x – 2y subject to x + 2y s 6 x- 4ys 0 10x – 4y 2 0 х2 0, у 2 0. (х, у) %3D

A:

Q: 2/2 -irT b1 (r)e¬3iwT/2 + Ve-irT 2(r)e-biwT/2 V(x,T) = -irT %3D e 드n(x)e-(r+ ¥)T + 2/2 2(x)e-(r+)7…

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: Minimize c = x+y+z+ w subject to 5x - y + w ≥ 4,000 z + w≤ 3,000 x + y s 700 x ≥ 0, y ≥ 0, z ≥ 0, w…

A: Min c=x+y+z+w5x-y+w≥4000       z+w≤3000x+y    ≤700x≥0,y≥0,z≥0,w≥0

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: Use the technique developed in this section to solve the minimization problem. Minimize C = x - 5y +…

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Q: Minimize: z = x- y subject to: 4х — Зу <0 х +у S 10 х, у 2 0

A: We can solve this minimising problem by Graphical method. First we find the region in plane bounded…

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

A:

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

A: