Heritage Company uses a job$-$order costing system to assign costs to jobs. It had no work in process or finished goods inventories on hand at the beginning of May. The table below provides data concerning the only three jobs worked on in May.

Job X Job Y Job Z

Direct labor hours $234114154$

Direct materials $ $6,330$ $ $2,820$ $ $3,940$

Direct labor $ $2,740$ $ $1,850$ $ $1,840$

Jobs X and Y were completed in May; however, only $150$ of the $200$ units included in Job X were sold in May, whereas all $100$ of Job Y$$s units were sold in May. Job Z was not completed by the end of the month.

Overhead costs are applied to jobs based on direct labor$-$hours and the predetermined overhead rate is $$45$ per direct labor$-$hour. The company$$s total applied overhead always equals its total actual overhead.

Required:

Compute the amount of overhead cost that would have been applied to each job during May.

Compute the work in process inventory that would be reported in the company$$s May $31$ balance sheet.

Compute the finished goods inventory that would be reported in the company$$s May $31$ balance sheet.

Compute the cost of goods sold that would be reported in the company$$s income statement for May.