Final answer:
The cost of budgeted purchases of direct materials needed for January is $6,100.
Step-by-step explanation:
To calculate the cost of budgeted purchases of direct materials needed for January, we need to find the difference between the desired ending balance for February and the balance in the Raw Materials Inventory account on January 1.
First, we find the next month's direct materials needed for production, which is 3300 units multiplied by $45 per unit, giving us $148,500.
Then, we calculate 30% of the next month's direct materials needed for production, which is 0.30 multiplied by $148,500, equal to $44,550. Finally, we subtract the beginning balance in the Raw Materials Inventory account on January 1 ($38,450) from the desired ending balance for February ($51,800) to find the cost of budgeted purchases of direct materials needed for January, which is $44,550 - $38,450 = $6,100.