Explain the characteristics of integer programming problems Solution It is said to be a mixed integer program when some, but not all, variables are restricted to be integer, and is called a pure integer program when all decision variables must be integers. If the constraints are of a network nature, then an integer solution can be obtained by ignoring the integrality restrictions and solving the resulting linear program. In general, though, variables will be fractional in the linear-programming solution, and further measures must be taken to determine the integer-programming solution. Integer-programming models arise in practically every area of application of mathematical programming. To develop a preliminary appreciation for the importance of these models, three areas where integer programming has played an important role in supporting managerial decisions are Capital Budgeting Warehouse Location Scheduling.