The Rolling Department of Jabari Steel Company had $3,100$ tons in beginning work in process inventory $(10\%$ complete$)$ on October $1.$ During October, $51,800$ tons were completed. The ending work in process inventory on October $31$ was $2,600$ tons $(20\%$ complete$).$

What are the total equivalent units for direct materials for October if materials are added at the beginning of the process?