As soon as the horizontal alignment of a road to be constructed has been given, the heights of the road at specified points along its length have to be determined. In our case these heights should be such so that the most economic road profile is created. The problem becomes more complex when the road is ‘built’ on a highly anomalous ground. A mixed‐integer programming model is proposed here, which defines the heights of the road at specified points along its length, and leads to the minimization of the road's construction cost.