3. Use simplex method to solve the following: Minimize: C = -10x + y+ 2s Subject to: x+y - 2: s 10 4x + y +: 20 x, y,20 Table 1 Pj Prod Qty 51 52 Zi Fj-Zj Table 2 Pj 10 -1 -2 Prod Oty 51 52 Zi Fj-ZI

Q: - Use the method of Lagrange multīpliers to find the maximum and minimum values of the function f(x,…

A:

Q: 2. Solve the following LP model using the simplex method. Minimize z = -4x, + 6xz – 2x3 + 4x4…

A: The problem is given : Max Z = - 4 x1 + 6 x2 - 2 x3 + 4 x4subject tox1 + 2 x2 + 2 x3 + 4 x4 ≤ 402 x1…

Q: Solve the given below using simplex method.      Max.:     P= 32x + 16y +40z      S.t.:     12x +…

A: Here we using simplex method.

Q: Maximize 12X + 10Y Subject to: 4X + 3Y s 480 2X + 3Y s 360 al varlables 20 Which of the following…

A:

Q: 3. Consider in R? the straight line l of equation y = 2.x +1 and the point P = (1, -1). (a) Use the…

A: Lagranges Multipliers Method

Q: To find the maximum value of the function xyz by Lagrange method of multipliers under the…

A:

Q: Маx Z Z = 4x1 + 2x2 s.t. s.t. 2х1 + 3x, < 13 x2 2 2 X1 2 2 X1,X2 20 a) Solve graphically. b) What…

A:

Q: Find the dual of the following LP problem (do not Solve): Minimize W = 5y, + 7y2 + 6y3 + 4y4 s.t. Yı…

A: Given: Minimize W=5y1+7y2+6y3+4y4 Subject to the constraints y1+2y2      +y4≥4y1+y2+2y3      =-1…

Q: Solve by using the simplex method. Maximize Z = 5x1 +9x2+7r3 subject to Iị + 3r2 + 2rs < 10 3r1 +…

A: we have given the the problem  max Z = 5x1+9x2+7x3subjected to:        x1+3x2+2x3 ≤ 10…

Q: 19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y + z,…

A:

Q: Find maximum and minumum values of f(x, y, z) = 9x – 18y +45z subject to the constraint x? + y² + z²…

A:

Q: Solve the given problem using the simplex method. Minimize: C = 5x +6y Subject to: x + y = 1000 x =…

A:

Q: 4. Use Lagrange multipliers to find the maximum and minimum values of the function subject to the…

A: To find the maximum and minimum values of the function f(x,y,z)=xyz subjected to the constraint…

Q: show that y=seclx) is a solution to and use reduction y° -2tanGe)y'- of order to find a second,…

A: see below the answer and calculation

Q: A LP is given as Max z = 3x + 4y Subj to x + 3y 10 x 0 a) Solve the LP using graphical corner…

A: a) The LPP is given as follows Max z = 3x+4y subject to x+3y≤60x+y≥10x≤yx≥0y≥0 z(0,10) = 3(0)+4(10)…

Q: Find the values of (Xx) that minimize the function f(x,y) = 8x²- xy + 12y² subject to the constraint…

A: (a)

Q: Find maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x2 + y? + z2…

A:

Q: Solve the boundary-value problem y" – 8y' + 16y = 0 y(0) = 2 y(1) = 0 %3D - Use a as your…

A: We First find the auxiliary equation then its roots  at then provide the general solution of the…

Q: Use simplex method to solve the following system Махітizе Р — 0.5х + Зу + Z Subject to x +y + z < 40…

A: I am substituting  x=x1 , y=x2 and z=x3 and then solving the problem.

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x? + y? +…

A: The given function is; f(x,y,z) = 8x-16y+40z

Q: Given: C = 20x – 4y Subject to: 2x +y 28 .x and y 20 4x + y2 12 2x + 3y 2 12 Winat is the value of X…

A:

Q: Use the method of Lagrange multipliers to minimize f (x, y) = Vx2 + 3y2 subject to the constraint x…

A: Solve the following

Q: 3,3 Solve by greaphing A. Minimize C=10 x +15y X +y <10 3x +y Zld s,t. +3y x20, y 20 -2x Z3

A:

Q: (d). Use Lagrange multipliers to find the maximum and minimum values of f(x,y)%3Dx'+2xy + 2 y° +2x…

A:

Q: Solve the following problem using the Simplex method and graphical method: Maximize Z = f(x,y) = 3x…

A: Given graphical methodMax z=f(x,y) = 3x+2ys.t 2x+y≤18     2x+3y≤42     3x+y≤24  x≥0 , y≥0

Q: 5. Use Lagrange Multipliers to find the maximum and minimum values of the function f(x, y) = 3x – 4y…

A:

Q: Apply Optimal Runge-Kutta method and obeain y,, I₂ and y for the problem y = + + 2y y(₁7=1 , h = 0.1

A: Let us solve the given Numerical Analysis problem using R-K 2 Method in the next steps.

Q: 7. Use the Method of Lagrange Multipliers to find the extrema value of a function f(x, y, z) = 2x² +…

A: Concept: Lagrange multipliers: A straightforward and elegant technique for determining the local…

Q: Use the Lagrange multiplier method to find the values of and y that minimise the function 2x2 + y²…

A: Let us consider the function f(x,y)  To determine the maximum and minimum value of the function…

Q: Use the two-stage method to solve the problem below. w%3D 12y1 + 30y2+51у3 Minimize subject to 2у1 +…

A:

Q: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize  S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

Q: 9. Use the Method of Lagrange Multipliers to find the maximum and minimum values of the function…

A:

Q: Find, if they exist, the extrema of the function: f (x, y) = x² + 3y² + 4, subject to the constraint…

A:

Q: 6. Use the method of Lagrange Multipliers to minimise f(x, y) the constraint x² + 4y? = 8. = xy…

A:

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: f(x, y) = x² + 3y² + 4, subject to the constraint 3x + y = 3, by using the Lagrange's multipliers…

A:

Q: 7. Use Lagrange multipliers to find the maximum and minimum values of f(r, y) = 4x – 8y subject to…

A:

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: Set up the method of Lagrange multipliers to minimize f(x,y,z)=6xy+xz subject to the constraint 2x +…

A:

Q: A function, z = ax + by, is to be optimised subject to the constraint, r + y = 1 where a and b are…

A: Given that the function to be optimised is z=ax+by subject to the constraint x2+y2=1 where a and b…

Q: Solve applying the simplex method to the dual problem Minimize C= 6y, +8y, +12y, Subject to y +3y,…

A: Step:-1 Given primal problem is Minimize   C=6y1 +8y2 +12y3subject…

Q: Find the values of x and y that minimize 24x2+12xy+4y2+6x−4y+16 subject to the constraint…

A: given fx,y=24x2+12xy+4y2+6x-4y+16 subject to constraint  8x+2y+1=0 let ϕx,y=8x+2y+1 to find  value…

Q: Use the simplex method to minimize  w=3y1+2y2 subject to:  2y1+3y2&gt;=60 y1+4y2&gt;=40 with…

A:

Q: 19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y +z,…

A: Let us construct the Lagrangian function, L(x,y,z)= 4x+2y+z+λ(x2+y+z2-1), λ is a constant. To get…

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

A:

Q: Give the conditions for Simplex method to be applied, then find the optimal solution of the…

A:

Q: The maximum value of f(x,y) = x +y subject to xy = 16 (using method of Lagrange multipliers) is 16

A: Given function is f(x,y)=x+y  Constraint: xy=16

Q: Solve the given LP problem using the Simplex Method Minimize: Z = 25x1 + 35x2 Subject to: 3x1 + 4x2…

A: The given problem is to solve the given linear programming problem using the simplex method with…

Q: 22. Solve the following problem for the optimal solution using simplex: minimize 20.x, + 10x2 +…

A:

Q: Find the maxima and/or minima of f (x, y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x - 3y - 4z…

A: