Consider an LP with the optimal tableau shown in table below.a)Does this LP have more than one BFS that is optimal?b)How many optimal solutions does this LP have? ( Hint: if the value of x3 increased, then how does this change the values of the basic variables and z-value?) This table is part of a system of linear equations commonly used in operations research and linear programming, represented as a tableau. The rows represent different constraints, while the columns correspond to variables and the right-hand side (rhs) of the equations.### Tableau| | \( z \) | \( x_1 \) | \( x_2 \) | \( x_3 \) | \( x_4 \) | rhs ||------|---------|-----------|-----------|-----------|-----------|-----|| Row 1| 1 | 0 | 0 | 0 | 2 | 2 || Row 2| 0 | 1 | 0 | -1 | 1 | 2 || Row 3| 0 | 0 | 1 | -2 | 3 | 3 |**Explanation:**- **\( z \):** Typically represents the objective function value in a standard linear programming problem.- **\( x_1, x_2, x_3, x_4 \):** Decision variables in the problem.- **rhs:** Stands for "right-hand side," which indicates the constant part of the equation on the right of the equality or inequality.**Interpretation:**- The first row might represent the objective function in a maximization problem where the coefficients signify contributions per unit of decision variables.- Subsequent rows (Rows 2 and 3) display constraints of the system, in which each decision variable has a specific impact, adjusted by coefficients.

a) No, this LP doesn't have more than one BFS which is optimal because the non-basic variable x3 has…

Answered: X1 X2 X3 X4 rhs 1 2 1 -1 1 2 1 -2 3 3

Math

Advanced Math

X1 X2 X3 X4 rhs 1 2 1 -1 1 2 1 -2 3 3

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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