2. Suppose you are maximizing the objective z. Identify which one of the following statements is correct, and answer the corresponding question. (a) The current basic feasible solution is optimal. If so, what is an optimal solution and the optimal objective value? (b) The linear program is unbounded. If so, provide a solution with objective value z = 5000 or larger. (c) At least one more iteration of the simplex algorithm is required to solve this problem. If so, identify which variable will leave the basis (go from being basic to being nonbasic), and which variable will enter the basis in the next iteration.
2. Suppose you are maximizing the objective z. Identify which one of the following statements is correct, and answer the corresponding question. (a) The current basic feasible solution is optimal. If so, what is an optimal solution and the optimal objective value? (b) The linear program is unbounded. If so, provide a solution with objective value z = 5000 or larger. (c) At least one more iteration of the simplex algorithm is required to solve this problem. If so, identify which variable will leave the basis (go from being basic to being nonbasic), and which variable will enter the basis in the next iteration.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer correctly please! Write it by hand please. Answer part 2. Please
Transcribed Image Text:Problem 1 Consider the following simplex tableau.
Row z
X2 x3 x4 25
X6 17 rg RHS
BV
0.
1
0 -5
4 -1 –10
0 620 z = 620
1
3
0 -2 -3
-1
1
12
0 0
1
1
3
1
6.
0 1 -1
0 6 -4
0 0 0
1. Which variables are basic and which variables are nonbasic in this tableau? What basic
variables are associated with rows 1, 2, and 3 of this tableau? What are the values of all the
variables associated with this basic feasible solution?
2. Suppose you are maximizing the objective z. Identify which one of the following statements
is correct, and answer the corresponding question.
(a) The current basic feasible solution is optimal. If so, what is an optimal solution and the
optimal objective value?
(b) The linear program is unbounded. If so, provide a solution with objective value z = 5000
or larger.
(c) At least one more iteration of the simplex algorithm is required to solve this problem. If
so, identify which variable will leave the basis (go from being basic to being nonbasic),
and which variable will enter the basis in the next iteration.
3.
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