If A3x4 with Nullity(A) = 1, then Rank (AT) = O 1 2

Q: Question 12 Since Mack cannot make a negative number of necklaces or wristbands, what are addi-…

A: Total time= 360 minutes Time taken to make necklace= 40 minutes Time taken to make wristband= 25…

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: Solve the problem using simplex algorithm Max Z= 6X+6Y S.T X+3Y≤2 2X+2Y≤5 X,Y≥0

A: The given linear programming problem is                                  Maximize Z=6x+6y…

Q: temil tstul 13)Find all critical points of fCx)=x+ x +2 (5)) (5x)

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Q: EXAMPLE (9): Use the finite difference method to approximate the solution of the boundary- value…

A: The given question can be solved as shown in step2

Q: S 4x -Ry +32 = -2 2x +2y + Sz = 15 X+2y+3z=-3 -1x ty-2= 6 ! 3x-3y +22 = -4 ち=えも-s-x8 14+3x+2< 4y-2x…

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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: 2 x-29x+5 S- (x-4)°(x²+3) 2 (x-4)´(x

A: To Solve

Q: find the general solution of ye + ay" - y'- 2y - o C3) %3D

A: We have to solve

Q: Part 3. Use separation of variables to obtain a product solution to the following: d²ud²u + ax² ay²…

A: The given partial differential equation is: ∂2u∂x2+∂2u∂y2=0

Q: Solve the problem. 10) Maximize Q = xy2, where x and y are positive numbers, such that x + y2 = 5.

A:

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

A: Minimize z=x1x2+x3 Subject to the constraint x12+x22+x32=1. Let us solve the problem using…

Q: 1 the general solution of x²y" – xy – 3y = 2x².

A:

Q: 2. で-5e dt = 4.

A: ∫xndx = xn+1n+1

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

A:

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

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Q: 10) Solve this linear problem using the Big M method. Min z = x1 - 2x2 + x3 Subject to: xl + x2 -x3…

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Q: Hello, How do i minimize C and find x and y

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Q: . Solve by optimal control the problem: max 68. s.t. [ (ux − u² − x² )dt 1 x'=x+u, x(1)=2, x(5) =…

A: As per the question we are given a optimization problem where we have to find the optimal control…

Q: 2.5OLVE BY GAUSS ELIMINATION METHOD 2x - Y+ 32 =-3 3X +3Y - Z= 10 X- Y + Z = 4

A:

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

A:

Q: The economy of Northern Saskatchewan is in equilibrium when the system of equations 2xz + xy + z –…

A: Given - The economy of Northern Saskatchewan is in equilibrium when the system of equations 2xz + xy…

Q: 22x1 + 44x2 + 33x3 subject to x1 + 2x2 + x3 > 3, x1 + x3 > 3, 3x1 + 2x2 + 2x3 > 8 using two…

A: i) Dual problem: Primal is  MIN Zx =   22 x1 + 44 x2 + 33 x3 subject to     x1 +…

Q: Differentiate. K«) = (3x*+ 1]x^- x) -sx]+ (3x*+ 1) B 12-L“- sx]+ (3x++ 1]6x*-s) © 12-lo…

A:

Q: What is the Lagrange multiplier associated with the equality constraint in the following…

A: Given maximization problem: Max fx,y=2x+y Subject to gx,y=3x+y-30=0                  x≥0 and y≥0…

Q: Determine the critical points off (x) = x* – 2x³. -

A: Solution: Option A) The critical points are x = 0 and x = 3/2 F(x) = x4-2x3 At critical points of a…

Q: What are the critical points of y = x^3 - 3x^2 + 4

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Q: What is the output of this circuit?

A: To find: 1) Output of the circuit if x=1 and z=1.              2) Value of y if the circuit returns…

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: 3. What is the particular solution if y(1) = 0 • xy' = y+ (x² + y²) ||

A: Given:- xy' = y+(x2+y2)1/2 y(1) = 0  To find:- Particular solution of given differential equation

Q: If ů = (1, 4t, 2t-6)dt, then | |P= 0. V3 9. 3

A:

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

A:

Q: Maximize z = x + 5y 2x + 7y < 49 5x + y 40 Subject to 00 VI VI AL AI నా

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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: 4. As an engineer and a scientist, a research has been conducted and the problem has been modeled…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

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Q: Apply Simplex method to solve the following problem: Maximize: z = x, +9x, +X3 Subject to: x, +2x,…

A:

Q: Maximize p = 3x + 4y subject to 0.2x + 0.2y20.4 X 2 0, y 2 0. (x, y) unbounded

A: Given : LPP       Maximize p=3x+4y subject to                      0.2x+0.2y≥4y≤6x≥0, y≥0 To find :…

Q: 8. Maximize P=3x+2y 2x+ys22 x+3 ys26 XS10 Subject to ys10 X,y20

A: The LPP is given as Max P=3x+2y subject to 2x+y≤22x+3y≤26x≤10y≤10x≥0y≥0 We will solve it by…

Q: b- Solve with naive Gauss elimination X1 + 2x2 - x3 = 2 5.x, + 2x2 + 2x3 = 9 - 3x1 + 5x2 – x3 = 1

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Q: 2. Two systems have a continuous load of 105 MW. Find the expected load loss (ELL) of each system if…

A:

Q: х Solve Vx-9 х — 9 3 (x- 9)3/2+4.5Vx-9+C 3 (x - 9)3/2 + 18/x-9+C 2 (x- 9)3/2+ 18Vx – 9+C a-9) -…

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Q: Example 4.9. Solve graphically. minimize da1 +2y subject to +2r 22, 3r, + 2 23, 4 +3r, 2 6,

A: The feasible region is the shaded one below: Note that the feasible region is unbounded. Now let us…

Q: [zx9(x29)u!S+Tx(S−)(zs-Áz)50p]/[^29(xzę)uis–(zs-Áz)uisxz] a…

A:

Q: In Genshin Impact, the optimal crit rate x to crit damage y ratio can be obtained by maximizing the…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

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: 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.