Yummy Foods expects to have $44,000$ pounds of raw materials inventory on hand on March $31,$ the end of the current year. The company budgets the following production $($in units$)$ for April through July, inclusive:

April $128,000$

May $138,000$

June $155,000$

July $128,000$

At the end of each month the firm desires its ending raw material inventory to be $10\%$ of the next month's production needs. Each finished unit requires four pounds of raw materials.

Yummy Foods$$ budgeted purchases $($in pounds$)$ of raw materials for June would be:

Multiple Choice

$609,200.$

$620,000.$

$630,800.$

$671,200.$

$733,200.$