A firm's budgeted production for the month of May is $6,000$ units and for the month of June is $10,000$ units. Each unit produced requires $5$ pounds of raw material. The budgeted ending inventory must equal $30$ percent of next month's budgeted production. If the raw materials purchases budgeted for the month of May is $25,000$ pounds, the beginning inventory for the month of May is $q,$ units.

$10,000$

$4,000$

$16,000$

$9,000$