Find the meaning optimal solution using the simplex method. Maximise P= +X+2 -x+*2+8 =2. 4x4 +...
Find solution using Simplex method (BigM method) MAX Z = 5x1 + 3x2 + 2x3 + 4x4 subject to 5x1 + x2 + x3 + 8x4 = 10 2x1 + 4x2 + 3x3 + 2x4 = 10 X j > 0, j=1,2,3,4 a) make the necessary row reductions to have the tableau ready for iteration 0. On this tableau identify the corresponding initial (artificial) basic feasible solution. b) Following the result obtained in (a) solve by the Simplex method, using...
2. Use the simplex algorithm to find an optimal solution to the following LP: max z 5x1 + 3x2 + x3 5x +3x2 +6x s 15
Solve the linear programming problem using the simplex method Maximize P=2x2 + 3x2 + 4x3 subject to X1 + x3 s 12 X2 + x3 s 9 *2, X2, X3 20 Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum value of Pis when xy = X2 and x3 = OB. There is no optimal solution
I need help on the knapsack lp by using branch and bound ) Use the branch-and-bound method to find the optimal solution to the ollowing IP: Minimize 9x1 +13x2 +10x3 +8x4 +8x5 s.t.6x1+3x2+2x3+4x4+7x5240 X131,x221,x322,x421,x5s3 X1, X2, X3, X4, X5 20 integer ) Use the branch-and-bound method to find the optimal solution to the ollowing IP: Minimize 9x1 +13x2 +10x3 +8x4 +8x5 s.t.6x1+3x2+2x3+4x4+7x5240 X131,x221,x322,x421,x5s3 X1, X2, X3, X4, X5 20 integer
Solve by using the SIMPLEX method. Show all steps please. Thank you! min s.t. F(x)= 3x, – x2 g(x)=-4x2 + x2 50.5 g(x)= x2 + x2 56 g(x) = 3x, -X, 21 X2,4220 min s.t. F(x)=-3x, +xz g(x) = 0.5x, +xz 56 82(x)=-2x, +x, 2-5 h(x)= 0.5x4 – x2 = 1 ,42 30 min s.t. F(x) = 3x2 + x2 81(x) = 3x2 + x2 23 82(x)= x;/4+xz 21 83(x)=-2x, +xz 52 X1,4, 20
using the simplex method. In Problems below, each maximum problem is not in standard form. Determine if the problem can be modified so as to be in standard form. If it can, write the modified version. 11. Maximize 12. Maximize 13. Maximize P=x1 + x2 + x3 subject to the constraints subject to the constraints subject to the constraints 4x12x2 -8 3x1 4x2 -6 2 4 x1 + x2 + x3 6 4x1 + 3x2 12 x20 In Problems below,...
Excel Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2 subject to the constraints x1 + x2 = 2 2x) + 3x2 s 12 3x + = 12 x 20 x220 P = 5x1 + 7x2 subject to the constraints 2xy + 3x2 = 12 3x + x2 = 12 x 20 *2 2 0 Maximize Maximize P = 2x2 + 4x2 + x3 subject to the constraints -*1 + 2x2 + 3x3 5...
Using the simplex method, find the optimal solution to the following LP: A company manufactures three products, A,B, and C. The sales volume for A is at least 50% of the total sales of all three products. However, the company cannot sell more than 75 units of A per day. The three products use one raw material, of which the maximum daily availability is 240 pounds. The usage rates of the raw material are 2 lb per unit of A,...
For any tableau that requires using the simplex method algorithm to solve for optimal solutions, how does one find these optimal solutions in the RHS and the coefficients in the objective function without actually running the simplex method?
3. Problem 4-10 on p. 164: Find the optimal value of the objective function for the following problem by inspecting only its dual. (Do not solve the dual by the simplex method). Minimize z = 10x1 + 4x2 + 5x3 subject to 5x1 - 7x2 + 3x3 > 50 x1 > 0, x2 > 0, x3 0