Why should decision makers who are primarily concerned with marketing or finance or production know about linear programming?
Operations management often presents complex problems that can be modeled by linear functions. The mathematical technique of linear programming is instrumental in solving a wide range of operations management problems.
Linear Program Structure
Linear programming models consist of an objective function and the constraints on that function. A linear programming model takes the following form:
Z = a1X1 + a2X2 + a3X3 + . . . + anXn
b11X1 + b12X2 + b13X3 + . . . + b1nXn < c1
b21X1 + b22X2 + b23X3 + . . . + b2nXn < c2
bm1X1 + bm2X2 + bm3X3 + . . . + bmnXn < ...
This explains the benefits of linear programming