linear programming unbounded solution example

x3 enters and no leaving variable (no restriction on increase to x3). Parametric solution showing that LP is unbounded: Unbounded LP Example 

Chapter 3. Linear Programming - II. (1) The region of feasible solution in LPP graphical method is called ____. (a) Infeasible region. (b) Unbounded region.

solution to that linear programming problem. ? Infeasible solution Basic Definition: ... function of the LP problem indefinitely is called unbounded.

22-Sept-2011 Primal unbounded dual infeasible is possible: Example is c = (1)

is unbounded. However when the objective is changed to minimization in- stead

It solves any linear program; it detects redundant constraints in the problem In the example above the basic feasible solution x1 = 6

4.1 Multiple Optimal Solution. Example 1 Linear Programming : ... 4. 3 Unbounded Solution. Example. Solve by graphical method. Max Z = 3x1 + 5x2.

This is why the solution is unbounded. Example 6. We consider the .linear programming problem formulated in Unit 3 Section 6. Solution. After converting the 

In this case no maximum of the objective function exists. The solution of the problem is said to be unbounded. In the previous example the feasible region as 

will hit a degenerate solution which is why this example is chosen. most applications of linear programming

The unbounded solution is explained in the following Example Example Consider the following linear programming problem Maximize 5x1 + 4x2 Subject to:

Solution Lecture 4 Special Cases in Graphical Method Linear Programming : 4 3 Unbounded Solution Example Solve by graphical method

Unbounded LP Example Unbounded LP Example Parametric solution showing that LP is unbounded: Unbounded LP Example 

When an infeasible solution exists the LP Model should be reformulated This may be because of the fact that the model is either improperly formulated or two 

An unbounded LP for a max problem occurs when a variable with a negative coefficient in row 0 has a nonpositive coefficient in each constraint Example 18

Exercise 31: The LP is unbounded (no solution) Show by example that either of the following could occur: • The LP has more than one optimal solution

When a polyhedron is bounded (i e not unbounded) it is called a polytope For example the set in Figure 1 is a polytope Figure 3: Unbounded polyhedron

solution of the problem and so are the points (0 60) (20 0) etc Any point outside the feasible region is called an infeasible solution For example

For example if a linear program is a min- imization problem and unbounded then its objective value can be made arbitrarily small while maintaining feasibility 

Case 4 The LP is unbounded This means (in a max problem) that there are points in the feasible region with arbitrarily large z-values (objective function value )