Questions:
1) Discuss from your own experience a case where you had to maximize or minimize something and also how you think linear programming techniques might have helped you arrive at your final decision.
2) Read the short, well-written article on the Simplex Method which appears here:
https://www.sce.carleton.ca/faculty/chinneck/po/Chapter4.pdf
Discuss what is going on geometrically inside the Simplex Method.
3) Do a search using an Internet search engine and discuss some of the many computer algorithms and programs that exist to solve linear programming problems.