Desert State University installed a HD video board with an invoice price of $$2,200,000$ in its football stadium. Desert State paid an additional $$176,000$ of delivery and installation costs relating to this board. Because this is one of the largest boards in the world, Desert State also installed ten $5-$ton air conditioning units at a total cost of $$660,000$ to keep the board cool in the desert heat. Determine the cost of the video board.