Provide examples (using simple formulations with couple of constraints) of linear programming formulations for 1. Infeasible...
Provide examples (using simple formulations with couple of constraints) of linear programming formulations for
1. Infeasible solution
2. Unbound solution
Homework Answers
1.
An example of infeasible solutions
Max 5x + 2y
ST
2x + 3y >= 30
3x + 3y <= 20
x, y >= 0
Here the areas of the inequalities do not overlap in the positive quadrant. As a result it is infeasible
2.
An example of unbound solution
Max 5x + 2y
ST
2x + 3y >= 30
3x + 3y >= 20
x, y >= 0
Here, the inequalities are on the greater side and the objective function is also maximization. Thus the solution is unbound. It can be increased to indefinitely.
Add Answer to:
Provide examples (using
simple formulations
with couple of constraints)
of linear programming formulations for
1.
Infeasible...
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Consider the following linear programming model: Max X1 + X2 Subject to: X1 + X2 ≤ 2 X1 ≥ 1 X2 ≥ 3 X1, X2 ≥ 0 This linear programming model has a(n). A. Unbound solution B. Infeasible solution C. Redundant constraint D. Alternate optimal solution
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MATLAB Problem Create a code to plot 2-D linear programming problems. label all constraints and hatch...
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Linear Programming question
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1. Solving the linear programming problem Maximize z 3r1 2r2 3, subject to the constraints using the simplex algorithm gave the final tableau T4 T5 #210 1-1/4 3/8-1/812 0 0 23/4 3/8 7/8 10 (a) (3 points) Add the constraint -221 to the final tableau and use the dual simplex algorithm to find a new optimal solution. (b) (3 points) After adding the constraint of Part (a), what happens to the optimal solution if we add the fourth constraint 2+...
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3.4 EXERCISES In Exercises 1-5 the given tableau represents a solution to a linear programming problem that satisfies the optimality criterion, but is infeasible. Use the dual simplex method to restore feasibility
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Which of the following represents valid constraints in linear programming? o 2X2 7XY 2X* 7Y 2 500 - 2X + 3Y = 100 2X^2 + 7Y 250 All of the above are valid linear programming constraints. A Moving to another question will save this response.
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