The global trend to combat climate change by maintaining the balance of climate-active gases has a significant impact on the economic, social, and environmental spheres around the world. One of the important aspects of its solution is the construction of economic models that encourage businesses to "green up". The publication considers an economic model for making calculations on obligations related to compensation of greenhouse gas emissions by companies, financial support for environmental services, sale of rights to additional emissions. Data on mutual obligations can be presented in a matrix, where indexes determine the enterprises between which obligations have arisen, and the element of the matrix is the value of the obligation. The information on mutual obligations of enterprises presented in the matrix allows you to calculate the values of the balance of the settlement participants. The problem of minimizing mutual obligations is a linear programming problem with a special structure of the constraint matrix. In the matrix of coefficients, we can distinguish a matrix with a structure characteristic of the transport problem of linear programming. To solve it, we have developed an algorithm. It allows you to find the optimal distribution of mutual debts in a finite number of steps and has the following main advantages: firstly, step-by-step compliance with the rules for conducting financial transactions; secondly, taking into account the features of filling with non-zero elements of the matrix containing information about obligations.