Consider the simplex tableau for a maximization problem shown. Provide a particular solution for the given...
The following tableau represents a specific simplex iteration for a maximization problem. Z x1 x2 x3 s1 s2 s3 RHS 1 0 a 0 3 5 0 15 0 0 0 1 1 0 b 3 0 1 d 0 1 2 0 5 0 0 -3 0 -2 6 1 c For each part 1)-3) specify any numerical value for each of a, b, c, and d that would: 1) allow x2 to enter the basis to improve the...
please Solve This!! Consider a maximization problem with the optimal tableau in Table 73. The optimal solution to this LP is z = 10, x3 = 3, x4 = 5, x1 = x2 = 0. Determine the second-best bfs to this LP. (Hint: Show that the second-best solution must be a bfs that is one pivot away from the optimal solution.) TABLE 73 z X1 X2 X3 X4 rhs 1 2 10 10 10 0 3 2 1 0 3...
1. For the following LPs, construct the Simplex tableau corresponding to the given extreme point You must show your work (i.e., calculating the entries of the tableau) to receive credit. Maximi s.t. = 5x1+3x2+ x3 x1, x2, x3 Maximize z =-3a + 2x2- x3 + x4 x' = (zl,X2 , X3, X4)= (0, 5, 0.3) 1. For the following LPs, construct the Simplex tableau corresponding to the given extreme point You must show your work (i.e., calculating the entries of...
Introduce slack variables as necessary and then write the initial simplex tableau for the given linear programming problem. Complete the initial simplex tableau. 1 1 X, X2 X3 s, 3 8 5 0 2 2 0 0 ONN S2 S3 0 0 0 0 0 0 NOOO 1 12 9 9 1 0 Z= X1 +8X2 +3X3 Maximize subject to X1 8X4 +2x2 +X2 +3x3 12 + 5x3 39 + 2x3 = 9 20, X3 20. 2x X1 20, X2
The initial tableau of a linear programming problem is given. Use the simplex method to solve it. X1 X2 x3 S1 S2 z 1-0여 8 3 8 1 0 110 -3 -24 1 0 0 0
9.Write the solution that can be read from the simplex tableau below 15 0 0 6 4 1 0 7 0 14 0 26 -1 0 28 33 0 2 -2 0 9 81 |33 0 -27 8 0 02 x0, x 15, x, 0, s, 0, s, 28, s) 81, z 2 2 15 , 81 15, 82-4, s3 9,z 1 ,220, r3 O x, 3, x 0, x, 0, s, 0, s 4, s,9, z 1 O x,...
Find the solutions that can be read from the simplex tableau given below. Find the solutions that can be read from the simplex tableau given below. Z X1 5 0 0 - 2 X2 0 6 0 0 Xz 12 0 0 0 S1 5 9 0 3 S2 0 0 2 0 S3 0 0 19 4 ol O ol 3 24 30 6 36 X1 = = 0 (Simplify your answer.) X2 = 5 (Simplify your answer.) X3...
(1 point) Consider the following maximization problem. Maximize P = 9x1 + 7x2 + x3 subject to the constraints 13x1 x1 - x2 + 6x2 + - 10x3 12x3 = = 20 56 xi 20 x2 > 0 X3 > 0 Introduce slack variables and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. P X X2 X3 S1 RHS
original right-hand Table Q2 shows the final optimal maximization simplex tableau. The sides were 100 and 90 for the two constraints. Table Q2: final optimal maximization simplex tableau 0 0.12 8.4 16 ? 99.2 04 0.48 0.20 4.24 -.24 X3 -0.20 0.40 X1 G-2 i. ii. Replace the (?) sign with the correct value. What would the new solution be if there had been 150 units available in the first constraint? ii. What would the new solution be if there...
1) Consider the simplex tableau obtained after a few iterations: RHS Basic 1 1/4 5/8 57/4 57/4 0 01/4 1 1/8 /2 14 3/2 1/4 1/8 5/8 0 a) (10pts) We do not know the original problem, but is given that x and xs are the slack variables for the first and second constraints respectively. The initial basis was constructed as хв=fu xs] and after several simplex tableau iter tions the optimal basis is determined as x [x, x]. From...