When implementing projects on motor roads, financial and economic analysis of specific projects are NAC usually provided.This article deals with the mathematical model which enables to analyze the entirety of projects on the motor road network with the view of determining which of them would give benefit to society the fastest and could be given priority in case of implementation.By applying this model and using the LP search (abbreviation from Russian Linear search) multi-criteria optimizing method, it is possible to calculate the project payoff time and an expected Tie Down Straps profit through the reduction of public costs.Also, an example on realization of the model is provided with calculation of the benefit that society receives if gravel road is paved.