Question
In: Statistics and Probability
The optimal solution of the linear programming problem is at the intersection of constraints 1 and...
The optimal solution of the linear programming problem is at the intersection of constraints 1 and 2. Please answer the following questions by using graphical sensitivity analysis.
Max s.t.
Max 2x1 + x2
s.t. 4x1 +1x2 ≤8
4x1 +3x2 ≤12
1x1 +2x2 ≤6
x1 , x2 ≥ 0
Over what range can the coefficient of x1 vary before the current solution is no longer optimal?
Over what range can the coefficient of x2 vary before the current solution is no longer optimal?
Compute the dual price for the first constraint.
Solutions
orchestra answered 1 year agoRelated Solutions
1. The optimal solution of the linear programming problem is at the intersection of constraints 1...
1. The optimal solution of the linear
programming problem is at the intersection of constraints 1 and
2.
Please answer the following questions by using graphical
sensitivity analysis.
Max 2x1 + x2
s.t. 4x1 +1x2 ≤8
4x1 +3x2 ≤12
1x1 +2x2 ≤6
x1 , x2 ≥ 0
A. Over what range can the coefficient of x1 vary
before the current solution is no longer optimal?
B. Over what range can the coefficient of x2 vary
before the current solution is...
What is the difference between the optimal solution to a linear programming problem and the objective...
What is the difference between the optimal solution to a linear
programming problem and the objective function value at the optimal
solution? Use an example in your explanation
For the following linear programming problem, determine the optimal solution by the graphical solution method Max...
For the following linear programming problem, determine the optimal
solution by the graphical solution method
Max
-x + 2y
s.t.
6x - 2y <= 3
-2x + 3y <= 6
x + y <= 3
x, y
>= 0
Use the graphical method for linear programming to find the optimal solution for the following problem....
Use the graphical method for linear programming to find the
optimal solution for the following problem.
Maximize P = 4x + 5 y
subject to 2x + 4y ≤ 12
5x + 2y ≤ 10
and x ≥ 0, y ≥
0.
graph the feasible region
Distinguish between basic feasible solution, feasible solution and optimal solution of a linear programming problem. Solve...
Distinguish between basic feasible solution, feasible solution
and optimal solution of a linear programming problem. Solve the
following LPP graphically:
Y=q1+4q2
Subject to 2q1+6q2<=36
2q1+2q2<=16
4q1+2q2<=28
q1,q2>=0
What's the optimal solution to this linear programming problem? Max 2X + 3Y s.t. 4X + ...
What's the optimal solution to this linear programming
problem?
Max
2X + 3Y
s.t.
4X + 9Y ≤ 72
10X + 11Y ≤ 110
17X + 9Y ≤ 153
X,
Y ≥ 0
Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate...
Solve the given linear programming problem using the simplex
method. If no optimal solution exists, indicate whether the
feasible region is empty or the objective function is unbounded.
(Enter EMPTY if the feasible region is empty and UNBOUNDED if the
objective function is unbounded.)
Minimize
c = x + y + z +
w
subject to
x
+
y
≥
80
x
+
z
≥
60
x
+
y
−
w
≤
50
y
+
z
−
w
≤
50...
Find the complete optimal solution to this linear programming problem. Min 5x + 6y s.t. 3x...
Find the complete optimal solution to this linear programming
problem.
Min
5x + 6y
s.t.
3x + y >= 15
x + 2y >= 12
3x + 2y >= 24
x , y >= 0
PLEASE NOTE I AM USING EXCEL FOR THIS QUESTION PLEASE SHOW ALL
WORK AND FORMULAS
Find the complete optimal solution to this linear programming problem. Max 5x + 3y s.t. 2x...
Find the complete optimal solution to this linear programming
problem.
Max
5x + 3y
s.t.
2x + 3y <=30
2x + 5y <= 40
6x - 5y <= 0
x , y >= 0
I AM USING EXCEL FOR THIS QUESTION PLEASE SHOW ALL WORK AND
FORMULAS, THANK YOU
Find the complete optimal solution to this linear programming problem. Min 5x + 6y s.t. 3x...
Find the complete optimal solution to this linear programming
problem.
Min
5x + 6y
s.t.
3x + y >= 15
x + 2y >= 12
3x + 2y >= 24
x , y >= 0
Find the complete optimal solution to this linear programming
problem.
Min
5x + 6y
s.t.
3x + y >= 15
x + 2y >= 12
3x + 2y >= 24
x , y >= 0
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