1. minimise z = X1X2 + x3 .2 subject to x + xž + x = 1

Q: 1 Maximize Z = 2x + 2y subject to 2x-y 2 -4 x- 2y 54 x+y 6 X,y20

A: Given: Maximize  Z=2x+2y Subject to, 2x-y≥4                   x-2y≤4x+y=6x, y≥0

Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y

A:

Q: 2x 2x 2. y = y: x' +1 3. у 3 V(x-2)(x+1) (x-2)(x+1) 2.x - y = Vx* +4 5. y= Vx -4 6. y= V2-x · y =…

A: The questions above.

Q: (5x + y = -11) 2x +9y = 30 (3x - 2y = lx + y= -7) [3x - 4y = 24) x + 2y = 8 (x+4y= 4) ly -x + 4) (4x…

A:

Q: Solve graphically the dual of the LLP Minimise: z=4w, +6w, +5w,-wĄ Sub. to w; +w, 23 W;,W,W,Wq 20

A:

Q: Solve the problem: max/min U = xy subject to x2 + y2 2 %3D

A:

Q: 14. Using the two-phase method, solve the following problem: Minimise 150x1 + 150x2 + 100x3 Subject…

A:

Q: Minimise Z = 1.5 x + 2.5 y S.T. 1x + 3 y 2 3 1x + 6 y 2 2 and both x and y 2 0

A:

Q: 1. calculate the following:  a. (-3x2y2) X (-2x3y) X (-3y2) b. (-5x23) X (-2x3y2) X z4 c. 3y2z X…

A: The objective is to calculate the above expressions.

Q: 5. Solve the following maximization problem U (x, y) = x³ +24y max {x,y} s.t. x + 2y = 10 where x 20…

A:

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

A:

Q: 19. 2x + 2y + 4z = 0 w - y - 3z = 0 2w + 3x + y + z = 0 -2w + x + 3y - 2z = 0

A: According to Bartleby guidelines we can only solve one question at a time. Kindly put other…

Q: locate the critical points and determine the maxima and minima of a^3y=x^2(2a^2-x^2)

A: Given function is a3y=x2(2a2-x2)

Q: Q 6/Find the optimal solution for the following (LP) model by using Algebraic and graphic method…

A: Solution Using Simplex Method -

Q: ① y" +16y=ex y-y-6y=2sin 3x ly-y-2y=3x+4 4y" +4y+y=3x² グッ 2

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: QUESTION 14 Calculate the maximum value of 9x + 6y subject to the constraints below: 2x + 2y s 18 x…

A: Linear Programming: Linear programming is the basic concept used for Optimisation problems. The…

Q: Maximize Z= 5 X1 + 10X2 Subject to 3 X1 +6 X2 0

A: Find the solution

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

A: Find the attachment

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: Solve for x: 1.2.1 2*.2**2 = 0 25 100 1.2.2 px p2-t2 + tx 2 1 1 1.2.3 X-1 x x+2 fthe squares of two…

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: S (x,y.:)= 4x°y° -e°y* ++4y-x" +4y–x'6

A: It is partial derivative

Q: 25 suppose C= 4X y°+i3x°y Fixd divegence c. 3.2

A: Here 4x^2y^5 is assumed to be coefficient of j and 3x^2y^2 is coefficient of i as given in question.

Q: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Maximize Z = 20x1 + 8x2 subject to 16x1 + 8x2 0 %3D

A:

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

A:

Q: Maximize Z = 2x1 + x2; Subject to x2 ≤ 10 2x1 + 5x2 ≤ 60 x1 + x2 ≤ 18 3x1 + x2 ≤ 44 and x1 ≥ 0, x2 ≥…

A:

Q: Find the optimal solution. MAX Z=6X+7Y st 4X+5Y≤20 10X+7Y≤35 3X+4Y≥6 X ≥0 , Y ≥0 and an…

A:

Q: maximize z=8.50x1+12.10x2 subject to 2x1+3x2 <  24,000 x1 < 6,600 x2 < 5,500 x1+x2 < 10,000

A: topic- linear programming

Q: What is the general solution of xy^2dx+x^2ydy=0

A:

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

A:

Q: Solve x(y- z)p+ y(z – x)q – z(x – y) =0 by method of multipliers.

A:

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

Q: 2. Consider the following optimization problem: max x, (30 – x, ) +x, (50 – 2x, ) – 3.x, – 5x, –…

A: The objective is to state the KKT conditions and solve the optimization problem max…

Q: (ii) (2 – t4)4 dt *xª – 5x³ + 6x² – 18 dr g3 – 3x² (iii)

A: 2)

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

A:

Q: Expand (y-3x)*. A y +12y x + 54y*x² + 108y²x³ +81x* B y+4y x+ 6y*x² + 4y²x³ + x* y - 12y x + 54y*x²…

A:

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

A:

Q: problem. Maxriniee and mínimize マ= 2x + 3y (1) Subject to スx + y20 X + Zy Z 8 X,Y

A:

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: 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: 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: 1. -(3X)(Px v Qx) 2. (x)(Sx• -Qx) ɔ (3x)Px | -(x)Sx

A: We have to prove the given arguments

Q: Maximize 14x – x^2 + 6y – y^2 + 7 subject to x + y <= 2, x + 2y <= 3.

A: Maximize z=14x-x2+6y-y2+7 Subject to, x+y≤2x+2y≤3 The graph is,

Q: 1. Minimize: Z = 10x + 2y Subject to: x + y > 10 3x + y < 12 x 2 0 y 2 0

A: Converting given LPP into the standard formMinimize:      Z= 10x+2ySubject to :   x+y =10…

Q: Find the dual to the standard problem. Minimise Z = 3z, + 5x2 – 6x3 Subject to: 2r1 + 6r2 + 6z3 > 52…

A:

Q: 1 Find the general solution of x'y" +xy' -y= x+1

A:

Q: Maximize Z 5.0 X1 + 6.0 X2 !! S. t. 2 X2 $ 16 3 X1 15 X2 S 0 -4 X1 3 X1 2 X1 3 X2 4 X2 O X2 Ś 12 3…

A: Follow the procedure given below.