Table 1. Formulas for calculating the optimal amount of cash reserve and various models of the optimal order size.

n/a no.	The formula for calculating the optimal amount of cash balance	Optimal order size models in supply chains management
1.	Baumol $R_{\mathit{opt}}=\sqrt{\frac{2\mathit{bP}}{E_D}}$ , where b is the costs associated with the transaction for the sale of securities, Rub per transaction; P is the total volume of transactions, Rub for the period T; $E_D$ is the return on financial investments in securities, %.	Wilson's formula (calculation of the economical batch of the order) $Q=\sqrt{\frac{2{\mathit{AC}}_0}{C_{\mathit{HR}}}}$ , where $A$ is the need for the ordered product within one year; $C_0$ is the cost of completing one order, Rub; $C_{\mathit{HR}}$ is the cost of storing the order, Rub.
2.	Credit line $R_{\mathit{opt}}=\frac{E_{\mathit{KR}}M}{E_D+E_{\mathit{KR}}}$ where ${\left(\frac{2\mathit{Pb}}{E_D}\right)}^{\frac{1}{2}}{\left(\frac{E_D+E_{\mathit{KR}}}{E_{\mathit{KR}}}\right)}^{\frac{1}{2}}$ , where $M$ is the amount of replenishment of the cash reserve, Rub; $E_{\mathit{KR}}$ is the interest rate per annum for the loan, %.	The optimal order size when the shortage is acceptable $S_0={\left(\frac{2{\mathit{RC}}_S}{{\mathit{TC}}_1}\right)}^{\frac{1}{2}}{\left(\frac{C_2}{C_1+C_2}\right)}^{\frac{1}{2}}$ and $q_0={\left(\frac{2{\mathit{RC}}_S}{{\mathit{TC}}_1}\right)}^{\frac{1}{2}}{\left(\frac{C_1+C_2}{C_2}\right)}^{\frac{1}{2}}$ Where $S_0$ is the optimal stock level at the beginning of a specific interval; $q_0$ is the optimal order size; $R$ is the demand for the ordered product for the period T; $C_S$ is the order price, Rub; $C_1$ is the cost of storing a unit of production per unit of time, Rub; $C_2$ is the penalty for lack of a unit of production, Rub.