Find the initial feasible solution using.                 (i) North West corner method     (ii) VAM method                  Also compare both results.             TO    From A B C D Supply I 12 4 9 5 55 II 8 1 6 6 45 III 1 12 4 7 30 Demand 40 20 40 20

Q: Sn+1 = Sn-p asn_g+bsn_r+csn_s+dsn_t asn_q+ßsn_r+Y$n_s+dsn_t.

A: The given equation is:To find: The equilibrium point of this equation.

Q: Perform two iterations leading to the minimization of 1 1 f(x₁, 12) = x₁ + = 2₂ + 3 = 1² + x² + 3…

A: Given Function:Initial approximation: To find:The two iterations leads to minimize the function…

Q: Consider to solve the following system of nonlinear equations by using Newton's method X1 X₂ + 1 2…

A: Stepwise solution is given below:

Q: Q4: Consider the following transportation problem. Find the starting solution by using North-west-…

A: Find the starting solution using by North-west-corner . SD A B ai X 5 1 80 Y 4 2 25 bi 35…

Q: Use the simplex method to solve Minimize subject to with SCEXIONS w=64y₁ +60y2 + 46y3 8y, + 6y2 +9y3…

A: The given LPP,Minimize Subject to,To find the solution to the LPP.

Q: Solve this question numerical methods.please explain both subparts

A: As per the question we are given a linear system Ax = b and we have to solve it :Without…

Q: Solve the optimization problem. Minimize S = x + 10y with xy = 10 and both x and y > 0. S =

A: Given minimize S=x+10y with xy=10 and both x and y>0. We have to solve the given optimization…

Q: Solve the following LP scenario. Maximize p= x +3y+4z subject to 2a + 4y +5z < 75 3x +3y+4z < 64 y2…

A:

Q: 2. Using Gauss Seidel Method, Solve for the Roots of the Linear system below. Assume initial values:…

A: Given system of equations are                                -------- (1)…

Q: Maximize p = 6x + y + 3z subject to 3x + y < 15 2x + 2y + 2z < 20 x 2 0, y 2 0, z 2 0.

A:

Q: Use the Gauss-Seidel method to solve the following system of equations. 10x₁ + 2x₂x3 = 27 -3x1 - 6x2…

A: The Gauss-Seidel method is an iteration method that is used to solve a system of linear equations.…

Q: A company has three production facilities S1, S2 and S3 with production capacity of 7, 9 and 18…

A: Least cost method:- MIn this method the cost matrix is carefully examined and the cell with minimum…

Q: A company operates two plants which manufacture the same item and whose total cost functions are C₁…

A: given  C1=7.5+0.03q12C2=3.8+0.05q22 where q1, q2 are the quantities produced by each plant. total…

Q: find the solution starting basic feasible to transportation mode (by northwest- corner method ? and…

A: Since both methods are lengthy. So here, we will provide the solution using first method. For other…

Q: Maximize p = x + y subject to X + 2y 2 20 2x + 2y 20 X > 0, y > 0.

A: To maximize p=x+y subject to following constraints x+2y≥202x+2y≤202x+y≥20x≥0y≥0

Q: Use the simplex method to solve. Minimize w= 6y, +Y2 subject to: 5y, + 5y, 2 25 5y, + y2 2 26 y, 20,…

A:

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x +y Subject to: 2x + y56…

A:

Q: 3) Find the optimal solution to the following LP using two-phase simplex method. min z = 2x₁ + 3x₂…

A: The given LPP is:

Q: 5) Consider a profit maximizing monopoly. The demand for the monopoly's product given by Q = In(a –…

A: Given: The demand for the monopoly's product is Q=lna-bPcost function is C(Q)=ceQwhere the…

Q: A firm produces three types of machinery r1,12, 13 at a cost C(F1,12, L3) = 4rỉ + 213+ – 2x1x2 +…

A: In this question, we find each type of machinery to minimize the cost given that total machines must…

Q: a. Use the Gauss-Seidel method to obtain the solution of the system until the percent relative error…

A: Given that, The system of equations, x1+x2+5x3=-21.5-3x1-6x2+2x3=-61.510x1+2x2-x3=27 re-writing the…

Q: Maximize P = 3x + 5y +4z 3x + 10y + 2z s 115 subject to 5x + 3y + 8z s 9 Sx + 10y + 3z s 108 x 20, y…

A:

Q: Determine the equilibrium solution and its stability for the following linear systema. (b) -2i +31…

A: As per the question we are given the following second order linear dynamic system : ẋ̇1 - 2ẋ2 + x1…

Q: -A Hot dog mixture in 1000-pound batches. Two ingredients is needed to create the mixture, chicken…

A: Given that cost of chicken is $3/lb. The cost of beef is $5/lb. Let  x1= lb of chicken in mixture…

Q: Minimize c= x + y + z + w Subject to + w > 2,000 + w 0, w 2 0. p = (х, у, z, w)

A: (1).

Q: y = -2x-22 tl X-2y-z+2 (37) Zニ X-y 2x +y +2z = I x+2y +z=2 2 -L

A:

Q: Q8/Find the optimal solution (L.P) by using )two-phases method Min. Z= 3X1+2X2 Subject to: X+X2 22…

A:

Q: 6. Use the method of Lagrange multipliers to find the maximum and minimum of f(x,y)=x+y subject to…

A:

Q: Maximize p = 14x + 10y + 12z subject to x+ y -zs3 x+ 2y +zs 8 x+ ys 5 x 2 0, y 2 0, z2 0. P = (x, y,…

A:

Q: Q2/Find the basic solution for the following (T.M) by using (least cost method), then find the…

A:

Q: Q/ Find the Domain and Ranye for the fallowing Kuncti Vx+5 「メ+」 Vã -1 (3 ) y= (2) y= %3D x?+ 1 14) y…

A: As per the company's guidelines, we are allowed to solve the first three parts. Kindly repost other…