The geometric method

Question 1

How to determine the objective line and which way to move it

Answer 1

take the objective function and set it equal to any n.

If min move perpendicularly towards 0, if max move away from 0

Question 2

How to solve a problem using the geometric method

Answer 2

1. draw all constraints and shade the region where all of these overlap
2. draw objective line
3. move the line. The last point which is grossed inside the region is the optimal solution

Question 3

3 possible outcomes from the geometric method

Answer 3

1. has a finite optimal solutions (either a unique solution of infinitely many)
2. the problem is unbounded
3. the problem is unfeasible