What are the assumptions and requirements for an LP model to be formulated and used?

It is important to understand the assumptions underlying the use of any quantitative analysis model. What are the assumptions and requirements for an LP model to be formulated and used? In your responses to other students, identify what you feel are weaknesses to using an LP model.
Please avoid lead in phrases (additionally, for the reason that, for example, etc…). Also, proofread the paper prior to uploading as I have had to change the references to correctly identify the author/year, etc. As well as, please ensure the English is without flaw.