Linear equations {linear programming} can show how each factor {independent variable, linear programming} affects one output {dependent variable, linear programming}. Linear-equation sets can show how each factor affects each output.
purposes
Linear-equation sets can find optimum factor amounts and/or optimum output amounts.
factors
Factors are abstract-space dimensions. Factors can vary from zero to maximum amount. Factor amount marks position along factor spatial dimension.
simplex
In abstract space, connecting coordinates with lines, planes, and higher-dimension surfaces makes polyhedrons, centered on origin. Polyhedron vertices can be optimal or extreme solutions, showing how much factor to use {simplex method}. Extreme solutions can maximize output, maximize profit, maximize efficiency, and minimize cost.
methods
Analyzing extreme solutions uses marginal value. Optimization methods {sequential optimization method} can use slopes.
summation
Linear processing adds things of same kind and cannot model interactions between different things. Linear processing cannot transform data or reduce variable number, because sums have same dimensions as things added.
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Date Modified: 2022.0224