A happy discovery recently on Transum, Linear Programming which provides a really easy way for teachers to illustrate several Linear Programming problems. Students could try these as an online activity.
I am pleased to see that a reminder of Inequalities is the first activity, something I always start with when teaching Linear Programming. Levels 1 to 5 provide 5 different problems providing very typical linear programming problems and we also have Exam Style Questions. The very generous Free model on Transum allows access to the extensive library of resources including checking answers such as illustrated here; a subscription additionally provides answers to all of the pupil online exercises such as Exam Questions, quizzes and puzzles as well as additional benefits.
Students are required not just to solve these probems but to interpret solutions to such problems; this post on Mathematics for Students looks at using technology to do just that and includes online utilities and instructions on the use of the Excel Solver. Examination questions are used to illustrate the use of these tools.
A version of this post is also available for students on Mathematics for Students. Note the excellent notes and examples on Linear Programming available from CIMT, one of a series of chapters on Discrete Mathematics.