ASSUMPTIONS OF LINEAR PROGRAMMING •from a mathematical viewpoint, the assumptions simply are that the model must have a linear objective function subject to linear constraints.
•However, from a modeling viewpoint, the mathematical properties of a linear programming model imply that certain assumptions must hold about the activities and data of the problem being modeled, including assumptions about the effect of varying the levels of the activities.
•Proportionality •Additivity •Divisibility •Certainty
Proportionality assumption
start-up
costs
•This ca would ari if there were start-up costs associated with initiating the production of product 1. For example, there might be costs involved with tting up the production facilities. There might also be costs associated with arranging the distribution of the new product. Becau the are one-time costs, they would need to be amortized on a per-week basis to be commensurable with Z (profit in thousands of dollars per week).