A linear programming (LP) problem has a linear objective function and a collection of linear constraints. PROC INTPOINT finds the values of variables that minimize the total cost of the solution. The value of each variable is on or between the variable’s lower and upper bounds, and the constraints are satisfied.
If an LP has variables and constraints, then the formal statement of the problem solved by PROC INTPOINT is

where
is the variable value vector
is the constraint coefficient matrix for the variables, where is the coefficient of variable in the th constraint
is the side constraint righthandside vector
is the variable lower bound vector
is the variable upper bound vector