A company budgets sales of $15,000$ units for May and $15,600$ units for June. The company maintains inventory of $30\%$ of next month's sales $($in units$)$ at the end of each month. Beginning May $1$ inventory totals $4,500$ units. Each unit of merchandise costs $$3.$ Prepare a merchandise purchases budget for May.

$\backslash$table$[[$Merchandise Purchases Budget$],[,,$May$],[$Budgeted sales units,,$15,000],[,-$vdots,$],[$Next period budgeted sales units$],[$Ratio of inventory to future sales$],[F$