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

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: Use lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

Q: Use simplex method in finding your solution Minimize 3X1 + 5X2 + 5X3 + 4X4 Subject 8X1 + 2X4 s 100…

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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: Find solution using LINGO Maximize Z = 6x1 - 4x2 subject to 2 x1+ 4 x2 = 16 and x1, x2 >= 0

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Q: Minimize Subjec to Xx -3 Xq +4 Xz-5 X,- 2X2 <3 2Xx -Xx Z4, XxZ0 and Xg is unnaitaeted

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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: Show that this model has an unbounded solution by Big M Method.  Max Z= 3x1 + 6x2      s.to 3x1 +…

A: Consider the provided question,

Q: Why we use the minimum ratio test to find the column in the DUAL simplex method, what will happen if…

A: The dual simplex method minimum ratio test is used to determine the leaving base variable. Recall…

Q: Use Simplex method to Maximize Ζ = 4x1 +10x2 Subject to  2x1 + x2 ≤ 50                    2x1 +…

A: Solution

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: How do you detect infeasibility using the Dual Simplex Method?

A: If there is no any solution that satisfies all the constraints, then it is called Infeasible…

Q: s this correct?  Is it because of the zero row when reducing to row reduced echelon form? Because I…

A: In this question, the concept of the matrix is applied. Matrix A matrix is a rectangular array or…

Q: 4. Minimize: Z = 3X₁ +5X₂ + 5X3 + 4X4 Subject to: 8X₁ + 2X4 ≤ 100 4X +3X - 90

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: minimize Z = 8x +212 subject to 2r, - 6x, s 12 5x, + 4x2 40 X1 + 2r, 12 X2 S 6 X1, X2 20

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Q: Махітіze f = 3x + 20y, subject to 14x + 7y < 35l 5x + 5y < 50 (Use simplex method to solve the…

A: simplex method table

Q: 5x, + 3x2 2x, + 5x2 2 10 3x + x22 6 X + 7x2 2 7 Minimize subject to and x 20, x2 2 0.

A: We use graphical method to solve the given problem Minimize 5x1+3x2 Subject to 5x1+3x2 ≥10   3x1+…

Q: Find x. (3x-17)° (x+40)° (2x-5)° 3D= delivery/atat/54e99100907ctions wedwbmistionid-69-

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Q: Solve the optimization problem. Minimize F = 3x2 + 3y2 with xy2 = = 16. F =

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Q: In(x3 () Vx²_2X %3D domain

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Q: Use Cramer's Rule to solve the system. { 9x = -15 У + 3z = 7x 4 Зу + 9z % 45

A: According to Cramer’s rule, the solution to system of equation is given by,

Q: Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8).  If…

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Q: The least squares method is the method of deriving a linear equation between two numerical…

A: The least squares method is the method of deriving a linear equation between two numerical…

Q: Differentiate: y = v 6x – 8x3 O y' = (3 - 12r²) /6x – 8x³ %3D O y = 6-24z2 %3D V 6z-823 3-12z2 O y'…

A: The given function is: y=6x-8x3 Let u=6x-8x3 So, y=u

Q: Maximize 5x+5y subject to  2x+y≤30 x+2y≤24 x,y≥0

A: Let us take P = 5x + 5y, now we can form the tables for the constraint inequalities and then solve…

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+…

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3…

Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

Q: Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S…

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Q: simplex method.

A: We have to solve the given linear programming problem by the simplex method. Let the objective…

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: GIVEN: [X1] X2 0 1 - -2 -3 2 X3 -3 3 2 X4. Determine the least-norm solution. Please show a complete…

A: Consider the given information. 201-1-2-320-3302x1x2x3x4=-102 The given form is Ax=b. Where,…

Q: Maximize Z = 2x1 + x2 – 2x3 - Subject to -2xı + x2 + x3 2 -2 - x1 + x2 - x3 2 –4 X1 +x2 + 2x356…

A: Given: Maximize Z=2x1+x2-2x3 Subject to constraints -2x1+x2+x3≥-2        ......(A) -x1+x2-x3≥-4…

Q: Solve by HEURISTIC METHOD. Maximize Z MAXIMIZAR Z=X1+ 5X2 +7X3+ 3X4 Sa. 7X1 + 3X2 + 2X3 +4X4 <21 8X1…

A: We have linear programming problem with us. Maximize Z=X1+5X2+7X3+3X4subject to, 7X1+3X2+2X3+4X4≤21…

Q: x4 - 5x3 + x – 4 x2 - 7x + 1 uotient emainder

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Q: Find solution using BigM method MAX Z = 6x1 + 4x2 subject to x1 + 2x2 = 0

A: We have,

Q: Use the Lagrange multiplier method to solve Minimize z = x} + x + x Subject to x, + 2x, + 3x3 = 7…

A: We have to solve the following problem using the Lagrange multiplier, Min z=x12+x22+x32 Subject to :…

Q: 2. Maximize Z = 8x +6 x Subject to: 10x,+ x2s 12 2x1+ 5 x2s 16 X120 HNA

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Q: This is a linear algebra/optimization problem:

A: Given,             f(x→)=2x+y  and     h→(x)→=x+y+zx2+z2 Where   x→=xyz   and  Minimize f(x→)…

Q: Find general solution ofy

A: Given data:     The given differential equation is: y’’’-9y’=0     The expression for the given…

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: If mQT = (27x + 3)', mRT = (9x - 5)° and MZRST = (10x – 2)', find mRT. %3D %3D

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Q: Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is…

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Q: Use the two phase method to find solutions. minimize aX1 + bX2 subject to X1+ 3X2 =3 X1,X2 > 0

A: The given problem is : Minimize z=ax1+bx2 subject to x1+3x2=3                  x1,x2≥0 Converting…

Q: A possible solution for dealing with the problem of empty cells in the partial tables when using the…

A: Answer: Option "C" is correct

Q: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

Q: Find the optimal solution by simplex method 3 Max Z = x, – 150x, + 4 1 ち- 6x。 50 6X4 s/t 25x, -…

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Q: Express In(y-C1 ) =C2 +Inx Use Least Square Method. having these points. (2,5),(3,1),(5,2),(6,0)…

A: Given the data as (2,5),(3,1),(5,2),(6,0) and (7,1).    lny-C1=C2+lnx

Q: Find solution using graphical method and then solve it by using LINGO Maximize Z = 15x1 + 10x2…

A: Given LPP problem is  Maximize Z=15x1+10x2 Subject to  4x1+6x2≤3603x1≤1805x2≤200x1,x2≥0 To solve the…

Q: Find the cxhreme Point and extreme direcbion region of the て-う + X2u5 2 (メメ): - 3X、 → X2c-2 -Xit…

A: We are given the following system of 2d Linear equations : -3x1 + x2 ≤ -2 -x1 + x2 ≤ 2 -x1 + 2x2 ≤ 8…