with The optimal tableau of an LP is given below. For context, the problem is a maximization program, the three constraints are of form corresponding slacks 8, and decision variables are non-negative. The first and second constraint are defined by the availability of resource 1 and resource 2, respectively. x1 x2 $1 82 $3 Sol. - 0 3 2 0 0 10 x1 1 2 1 0 0 5 82 0 -1 -1 1 0 2 83 0 3101 10 Using the optimal tableau and sensitivity analysis, answer the following questions. How much would the objective function value increase at the optimum if there was one additional unit of resource 1 available, assuming that the optimal basis does not change? O i. 5 O ii. 2 ○ iii. 10 O iv. This cannot be read directly from the tableau.
with The optimal tableau of an LP is given below. For context, the problem is a maximization program, the three constraints are of form corresponding slacks 8, and decision variables are non-negative. The first and second constraint are defined by the availability of resource 1 and resource 2, respectively. x1 x2 $1 82 $3 Sol. - 0 3 2 0 0 10 x1 1 2 1 0 0 5 82 0 -1 -1 1 0 2 83 0 3101 10 Using the optimal tableau and sensitivity analysis, answer the following questions. How much would the objective function value increase at the optimum if there was one additional unit of resource 1 available, assuming that the optimal basis does not change? O i. 5 O ii. 2 ○ iii. 10 O iv. This cannot be read directly from the tableau.
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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Transcribed Image Text:with
The optimal tableau of an LP is given below. For context, the problem is a maximization program, the three constraints are of form
corresponding slacks s; and decision variables are non-negative. The first and second constraint are defined by the availability of resource 1
and resource 2, respectively.
x1 x2
3
$1
S2
$3 Sol.
2 0
0
10
x1
1 2
1 0
05
82
0 -1
-1 1
0
2
83
03101
10
Using the optimal tableau and sensitivity analysis, answer the following questions.
How much would the objective function value increase at the optimum if there was one additional unit of resource 1 available, assuming that
the optimal basis does not change?
O i. 5
○ ii. 2
O iii. 10
○ iv.
This cannot be read directly from the tableau.
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