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

Q: -Salve. Linear.- Program by.using graiphic metheed miax-Z=4X+3X7 Sat. 6x,+4Xq€48. 4%2 8X2 8a X、ッ父セ2。

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Q: Obtain the dual of the LPP below. Minimize z = 4A+ B Subject to 3A+2B > 12 2A – 6B 0

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Q: 2. Maximize. z subject to 2x1 + 3x2 – 4x3 = 3x1 - 2x2 + x3 0, x2 > 0, x3 > 0.

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Q: Maximize p = 5x – 4y + 3z subject to 10x + 10z 0. p= (х, у, 2)%3D

A: Here we use simplex metod.

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 p = -2x + 4y subject to ( 2x + 3y 2 30, x - y 0, y > 0.

A: Given the LPP problem:                                  Min.p=-2x+4y     2x+3y≥30       x-y≤15…

Q: Solve the faliewing Optimization preblm by usihg The Lagarange Mulkiplier Me thof Mimimize fexioMr)…

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Q: If U = xz - x²2y + y²z², evaluate div grad U O2y + 2z²+2y² O -2y + 2z²-2y² O2y-2z²+2y² O2y + 2z²-2y²

A: I have given the answer in the next step. Hope you understand that

Q: OF(2,9)= OF(2,9)= %3D OF (2,y) = X,Y %3D OF(2,y) =

A: Since     F→(x,y)=<-y, x2> The vector field of the function is

Q: JACEM makes and sells two competing products, burgers and pizza, that cost $C, and $C, per unit,…

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Q: Maximize Q = xy2, where x and y are positive numbers, such that x + y2 = 10.   Question 14 options:…

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Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t =10 - x, + x, -2x, +x, - x, <-10 Can an…

A: So we have a linear programming problem with 3 variable x1,x2,x3 with two constraints.  First we…

Q: If A and u are nonzero Lagrange multipliers, VA? + µ² = 1.

A: If λ and μ are non zero Lagrange multipliers then we have to tell it is true or false  √(λ2 + μ2) =…

Q: 1. Maximize: Z = 50X, + 100X; + 150X, Subject to: 2X, + 2X2 s 200 3X, s 150 4X, + 4X3 5 600 X,2 0,…

A: Now we will find the solution using Simplex method

Q: Minimize Z= 8x, + 6x, Subject to: 3x, + 4x, 2 6 5x, + 2x, < 10 x, + 4x, 5 4 x, y 2 0

A: We will find out the required solution.

Q: 3. If X is a solution of the IVP X': Х, X (0) — %3D %3D then X %3D

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Q: 9x + 2y + 4z = 20, x + 10y + 4z 6, 2x-4y + 10z =-15 54x +y+z = 110, 2x + 15y + 6z = 72, -x + 6y +…

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Q: Maximize P = xyz with × +y = 9 and z +y = 9, and x, y, and z > 0. а. Р3 105 О а. O b. P=9 Oc. P =…

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Q: 4. Maximize Z = 3x1 + 2x2 + x3 Subject to 2x1 +x2 + x3 < 150 2x1 + 2x2 + 8x3 < 200 2x1 + 3x2 + x3 5…

A: maximise Z= 3x1+2x2+x3 subject to 2x1+x2+x3≤150 2x1+2x2+8x3≤200 2x1+3x2+x3≤320 x1,x2,x3≥0 adding the…

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: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2< 36 and z = x1 + 3x2 is…

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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: 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: The model Maximize 30x + 40y Subject to: • 30x + 31y = 0

A: Write the set of values for corner points.

Q: 1) Maximize z = 4x1 + 2x2 subject to: 2x1 + 3x2 <6 X1 + 3x2 < 4 2x1 + 2x2 <8 X1 20, x2 20 with

A: Here we solve the given problem of LPP by simplex method.

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

A: When a LPP involves more than two variables, the solution for the LPP cannot be found using…

Q: Z = 2x + 3y   Subject to –2x – y ≥ –10 x + 3y ≥  6 x ≥ 0 y ≥  0

A: To maximise the equation Z=2x+3y, the equations -2x-y≥-10 and x+3y≥6 are to be graphed and shaded.…

Q: Maximize z=14x, + 3x2 subject to: 7x, + 3x, 58 X1 +3x, 54 X, 20, X2 2 0. with

A: We will be using the simplex method to solve the following system.

Q: What can be changed to have a bounded solution for this model? Explain by solving it.  Max Z= 3x1 +…

A: The constraints of a linear programming problem decide the feasible region of the problem. If the…

Q: Write the dual of the following LP pra lem Minimize Z = 3r- 2r2 + 4x3 Subject to the constraints 3r,…

A: Find dual from of the lp problemMIN z = 3x1 - 2x2 + 4x3subject to3x1 + 5x2 + 4x3 &gt;= 76x1 + x2 +…

Q: Fnd, the vabes of = Le valies egushon - Gz 12/0+1+6;= 6z

A: A complex number can be represented as z=x+iy, where x is the real part and y is the imaginary part.…

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

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Q: 6. Maximize z-x, + 2x2 + 3x3 + x4 subject to 2x, + x, + x, + 2x, s 18 3x, +5x2+ 2x,+ 3x, s24 3x, +…

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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: JACEM makes and sells two competing products, burgers and pizza, that Cost $C, and $C, per unit,…

A: Given that cost of burger and pizza is  and respectively. then the Total cost function for  units…

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. Minimize C=8x+3y x+y2 10 2x+y215 Subject to X23 y20

A: Given that, the objective function is CMin=8x+3y subject to the constraints is,…

Q: Minimize Bubject tos * +2x2+3x3-12 0 X2+ 2xg +3x4-4 0 by direct substitution method.

A: Given, fx=x1-x22+x2-x32+x3-x44---1 subject to the constraints x1+2x2+3x3-12=0…

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: Mimimize twis) = (m,-4)+ (x_-s)n ニ (M,-4) +(メ=-5) subfelt to 7. M,-025"2ー。 o S X, L9, os Mz < lU 64…

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Q: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2 < 36 and z = x1 + 3x2 is…

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Q: Minimize Z= 8x, + 6x, Subject to: 3x, + 4x, 2 6 le sl DutRY ieog 5x. + 2x, < 10 liw bne no X, + 4x,…

A: The simplex algorithm, developed by George Dantzig in 1947, is the first practical procedure used to…

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: 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: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

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Q: Maximize f(x, y, z) = x + 2y + 3z under the constraint x? + y? + 2² = 14.

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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: Minimize : 20yı + 12y2 + 40y3 Yi +y2+5y3 2 20 2yı +y2 +y3 2 30 4.

A: The LPP is  MIN Z = 20y1 + 12y2 + 40y3subject toy1 + y2 + 45y3 &gt;= 202y1 + y2 + y3 &gt;= 30and…

Q: write the dual to the following  maximize Z=3x1+5x2+4x3 subject to 2x1+x2+4x3/ 0

A: