The following information is available for Carter Corporation: Materials inventory decreased $4,000.. " " " Materials inventory on December 31 was 50% of materials inventory on January 1. Beginning work in process inventory was $145,000. Ending finished goods inventory was $65,000. Purchases of direct materials were $154,700. Direct materials used were 2.5 times the cost of direct labor. Total manufacturing costs incurred were $246,400, 80% of cost of goods manufactured and $156,000 less than cost of goods sold. Note to students: The answers are not necessarily calculated in alphabetical order. a. Compute Finished goods inventory on January 1. b. Compute work in process inventory on December 31. c. Compute direct labor incurred. d. Compute factory overhead incurred. e. Compute Materials inventory on January 1. f. Compute Direct materials used.