2.5 Linear programming assumptions The assumptions made when using linear programming are the same as those given in section 1.3 above for key factor analysis.
Assumptions
§ A single quantifiable objective.
§ Each product always uses the same quantity of the scarce resource per unit. This ensures that the constraints are linear, giving straight lines on the graph.
§ The contribution (and cost) per unit is constant for each product. This ensures that the objective function is a straight line and that its gradient doesn’t change as it is moved out (in) on the graph.
§ Products are independent.
§ The scenario is short-term.
Note: the graphical approach is only feasible for problems with two variables. With more products an alternative, such as the Simpex algorithm, must be used. This is off-syllabus.