Bramble Company estimates that $2022$ sales will be $$48,800$ in quarter $1,$$$58,560$ in quarter $2,$ and $$70,760$ in quarter $3.$ Cost of goods sold is $50\%$ of sales. Management desires to have ending merchandise inventory equal to $10\%$ of the next quarter's expected cost of goods sold.

Prepare a merchandise purchases budget by quarter for the first $6$ months of $2022.$