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

See similar textbooks

Similar questions

What is the reason for the d) answer? I cannot understand it. Please, if possible visualize why it is correct.
(4) Ivan is laying out a page of a newspaper. He knows he needs to get 50 square inches of text on the page, and that the page must have 1 inch margins on the left and right side, a 2 inch margin at the top, and a 1 inch margin at the bottom. What is the minimum possible area of such a page?
In detail
The monthly income associated with the sale of two products is described with the function in two variables / = 21a + 19b, where a and b are quantities sold of products A and B, respectively. Furthermore, it is known that the cost of producing these products is modeled by C = 3a² +6b². With this information answer: Write the criterion of the monthly profit function from the sales of products A and B, use as variables a and b What is the only critical point of the utility function? What is the value of the discriminant of the utility function evaluated at that critical point (Value of D used to classify the critical point) At this critical point. Is a relative maximum, a relative minimum, or neither determined?
Consider the problem ari + br2 subject to a?+ = 2 maximize where a and b are real numbers. Show that if [1, 1]" is an optimizer to the problem, then a = b.
4. The financial department of a hospital arrived at the cost function: C(x)=20x³ -360x² +2300x-1000, 1≤x≤12. C(x) is the cost in thousands of dollars for handling x thousand cases per month. Determine the minimum average cost of the hospital, and give the number of cases per month needed to produce a minimum average cost. Round all answers to the nearest thousands. Draw a picture of your friendly window. 2100
Sketch the following problem graphically: max f = x2 X2 subject to g1 = X1 – (1 – x2)³ < 0 92 = x1 2 0 Find the solution graphically. Apply the optimality conditions and monotonicity rules. Discuss. (From Kuhn & Tucker, 1951.)
C=-40) 2. Write a piece-wise function for the following graph. Hint: find linear equations for each "piece" of the function with its associated domain restriction. Page Section 1.3-14 Lab МАT 171 ance tra Capacity Ring aper than round ring рарer nteed t stick available in most versions and close with one touch transfer, non-stick material material is PVC FREE ide binders for covering extra-wide dividers. 697124
I need D pls
Use the method of Langrange Multipliers to find the maximum value ofU(q1, q2) = 2q1q2 + 6q1 + 2q2 subject to 6q1 + 2q2 = 240