Waunakee Metals expects sales for the year to be $100,000$ units, with quarterly sales of $20\%,25\%,30\%,$ and $25\%,$ respectively. The sales price is expected to be $$40.$

Management desires an ending finished goods inventory each quarter of $20\%$ of the next quarter's sales volume.

Each unit requires $3$ kilograms of materials at a cost of $$5$ per kilogram. Management desires an ending raw materials inventory each quarter of $10\%$ of the next quarter's production needs.

What is the materials to be purchased $($in kilograms$)$ in Q$3?$