Exam 11

Exercise 11. Consider the following multi-objective problem:

11.1 Is it a convex problem? Why?

11.2 Do minima exist? Why?

11.3 Is the point (5, 5) a minimum? Why?

11.4 Is the point (10, 0) a weak minimum? Why?

11.5 Find a subset of minima by using the scalarization method.

11.6 Find the set of all weak minima by using the scalarization method.

11.7 Find the set of all minima.

11.8 Find the ideal point.