The demand for a product $($that can be made only in discrete integer numbers$)$ for the coming three months $($Month$-1,$ Month$-2$ and Month$-3)$ is expected to be $2$ units, $3$ units and $3$ units respectively. The production capacity for the three months are $3$ units, $2$ units and $3$ units respectively. The maximum inventory that can be carried at the end of Month$-1,$ Month$-2$ and Month$-3$ are $2$ units, $3$ units and $2$ units respectively. The cost for producing a unit in Month$-1$ is Rs$.175,$ in Month$-2$ is Rs$.150$ and in Month$-3$ is Rs$.200.$ A holding cost of Rs$.30$ per unit per period is incurred for items in inventory at the end of Month$-1$ or at the end of Month$-2.$ However, for Month$-3,$ the holding cost is Rs$.40$ per unit per period. A dynamic programming approach with an aim of minimize the total cost for satisfying the demand is adopted to solve the problem. Then, if the ending inventory in Month$-0$ was $1$ unit

What is the OPTIMAL TOTAL COST for the problem?