*Mathematical
Model of a Transportation Problem*

__where__

*m* … number of sources

*n *… number of destinations

*a*_{i} … capacity of *i-th *source (in tons, pounds,
liters, etc)

*b*_{j} … demand of *j-th* destination (in tons,
pounds, liters, etc.)

*c*_{ij} … cost coefficients of material shipping (unit
shipping cost) between* i-*th source and *j-th* destination (in
$ or as a distance in kilometers, miles, etc.)

*x*_{ij }… amount of material shipped between* i-*th
source and *j-th* destination (in tons, pounds, liters etc.)