Chattanooga Ceramics is planning to sell $900$ boxes of ceramic tile, and produce $772$ boxes of ceramic tile during May. Each box of tile requires $44$ pounds of clay mix and $15$ minutes of direct labar. Clay mix costs $$0\mathrm{.}40$ per pound and employees of the company are paid $$12\mathrm{.}00$ per hour. Manufacturing overhead is applied at a rate of $110\%$ of direct labor costs. Chattanooga has $3,900$ pounds of clay mix in beginning inventory and wants to have $4,500$ pounds in ending inventory.

What is the total amount to be budgeted for direct labor for the month of May?