Final answer:
The raw materials price variance for the month is $6,402.
Step-by-step explanation:
The raw materials price variance for the month is calculated by finding the difference between the actual cost of raw materials purchased and the standard cost of raw materials for the actual output.
The standard cost of raw materials for the actual output can be found by multiplying the standard quantity or hours per unit of output by the standard price or rate for direct materials. In this case, the standard quantity is 6.6 grams and the standard price is $7.70 per gram.
The actual cost of raw materials purchased is $548,250 and the actual output is 9,200 units. Therefore, the standard cost of raw materials for the actual output is 6.6 grams * $7.70 per gram * 9,200 units = $541,848.
The raw materials price variance is calculated as the actual cost of raw materials purchased minus the standard cost of raw materials for the actual output: $548,250 - $541,848 = $6,402.