At the beginning of the year, Delight Company had $100$ units in its inventory at $$50$ each. On January $17,$ the company purchased $100$ units for $$60$ each and at the end of the month sold $150$ units for $$95$ each. During March, the company made two purchases of $200$ units and $300$ units for $$70$ and $$80$ each respectively. In the month of April, the company sold $450$ units for $$105$ each. If the company is applying averaging, what would be the amount of gross profit for the period through April?