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 value of z.
a = ____, b = ____, c = ____, d = ____.
2) indicate that the problem is unbounded.
a = ____, b = ____, c = ____, d = ____.
3) indicate alternate optimal solutions.
a = ____, b = ____, c = ____, d = ____.
You may insert the values in the spaces provided.
The following tableau represents a specific simplex iteration for a maximization problem. &...
Consider the simplex tableau for a maximization problem shown. Provide a particular solution for the given tableau. 1 0 -6 1 -2 0 2 2 1 5 0 0 0 1 4 8 32 5 0 18 1 Maximum z= at the point when Xi = X2 = , and X3 =
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...
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
This is the initial tableau of a linear programming problem. Solve by the simplex method. S1 S3 X1 1 2 S2 0 1 X2 3 4 2 N OOO 12 4 1 0 1 0 0 0 1 0 0 - 2 - 1 0 The maximum is when X1 = O, x2 =D Sy = 10, s2 = 0, and s3 = 2.
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
Introduce slack variables as necessary and then write the initial simplex tableau for the Maximize z = xy + 9x2 given linear programming problem. subject to X1 + 2x2 = 12 8x1 + x2 = 11 5x7 + 2x2 57 with Xq 20, X220 Complete the initial simplex tableau. X1 S1 S2 z X2 2 S3 0 1 1 ol 00 0 0 0 11 O 2 0 7 0 0 0 1 0
Write the solutions that can be read from the simplex tableau. X1 X2 X3 S1 S2 z 3 4 0 3 0 17 1 5 1 7 0 0 26 -3 4. 0 1 0 1 16 O A. X1, X2, S1 = 0, X3 = 17, s2 = 26, z = 16 B. X1, X2, S1 = 0, X3 = 26, S2 = 17, z = 16 O C. X1, X2, S1 = - 0, X5 = 26, S2...
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...
Find the solutions that can be read from the simplex tableau given below. N S3 X1 7 0 0 8 X2 0 4 0 0 Xz 10 0 0 0 S1 10 6 0 3 S2 0 0 3 0 0 0 20 7 O O ON 20 24 9 26 X1 = (Simplify your answer.) X2 = (Simplify your answer.) II X3 (Simplify your answer.) S1 (Simplify your answer.) S2 = (Simplify your answer.) S3 = (Simplify your answer.)...
(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