7.6. Potential Issues in Linear Programming

Try these first

1. 1.

   What is a feasible region in linear programming?

   Hint

   Think about the space formed by your constraints.

2. 2.

   What happens if there are conflicting constraints?

   Hint

   Consider what happens to shapes when lines cross in different ways.

3. 3.

   What defines a feasible region in linear programming?

   • A line of best fit
   • The intersection area of constraints
   • Any point in the graph

   Hint

   Visualize an area enclosed by multiple lines.

4. 4.

   True or False: An unbounded feasible region can have a maximum value.

   • True
   • False

   Hint

   What happens if there's no limit to how high we can go?

5. 5.

   Given constraints that conflict, illustrate how different shapes emerge and why it affects feasible regions.

   Hint

   Think of two lines that would never cross.

6. 6.

   Design a linear program that has an unbounded solution and describe the implications.

   Hint

   Explore what happens when you can always increase production without limits.