Assume the sales budget for April and May is $41,000$ units and $43,000$ units, respectively. The production budget for the same two months is $38,000$ units and $39,000$ units, respectively. Each unit of finished goods required $3$ pounds of raw materials. The company always maintains raw materials inventory equal to $25\%$ of the following month's production needs. How many pounds of raw material need to be purchased in April?

Multiple Choice

$114,750$

$118,650$

$116,750$

$114,250$