The primary idea behind the geometrical representation adopted in the
subsequent analysis, is to correspond every vector
denoting the variables of a 2-var LP, to the point with co-ordinates
in a 2-dim (planar) *Cartesian* system. Under this
correspondence, the feasible region of a 2-var LP is depicted by the
set of points the coordinates of which satisfy the LP constraints and
the sign restrictions. Since all these constraints are expressed by
*linear* inequalities, to geometrically characterize the feasible
region, we must first characterize the set of points that constitute
the solution space of a linear inequality. Then, the LP feaslible
region will result from the intersection of the solution spaces
corresponding to each technological constraint and/or sign
restriction.

Fri Jun 20 15:03:05 CDT 1997