Cost Accounting - General Ledger - purchases/overhead/invertory

The following account balances as of January 1, 2008, were selected from the general ledger of Browning Manufacturing Company:

Work in process inventory $0
Materials inventory 521,000
Finished goods inventory $44,000

Additional data:
1) Actual manufacturing overhead for January amounted to $59,000.
2) Total direct labor cost for January was $56,000.
3) The predetermined manufacturing overhead rate is based on direct labor cost. The budget for 2008 called for $300,000 of direct labor cost and $369,000 of manufacturing overhead costs.
4) The only job unfinished on January 31, 2008, was Job No. 410, for which total labor charges were $5,600 (700 direct labor hours) and total direct material charges were $10,000.
5) Cost of direct materials placed in production during January totaled $100,000. There were no indirect material requisitions during January, 20X8.
6) January 31 balance in materials inventory was $29,000.
7) Finished goods inventory balance on January 31 was $30,000.

Use the above to:

1) Determine the predetermined manufacturing overhead rate.

2) Determine the amount of materials purchased during January.

3) Determine cost of goods manufactured for January.

4) Determine the work in process inventory balance on January 31.

5) Determine cost of goods sold for january.

6) Determine whether manufacturing overhead is overallocated or underallocated and by what amount.