Final answer:
To calculate the balance of Finished Goods on February 28, add the total costs and overhead costs for each job and deduct the costs of sold jobs from the balance on February 1.
Step-by-step explanation:
To calculate the balance of Finished Goods on February 28, we need to consider the direct materials, direct labor cost, and machine hours for each job. For Job 175, the total cost is $39,300 ($16,200 + $23,300). For Job 178, the total cost is $16,100 ($8,500 + $7,600). For Job 179, the total cost is $75,500 ($30,500 + $45,000).
To calculate the overhead costs for each job, we need to multiply the machine hours by the overhead rate of $25 per machine hour. For Job 175, the overhead cost is $10,000 (400 hours x $25). For Job 178, the overhead cost is $7,500 (300 hours x $25). For Job 179, the overhead cost is $50,000 (2,000 hours x $25).
Adding the total costs and overhead costs together, we get the following balances for each job: Job 175 - $49,300, Job 178 - $23,600, and Job 179 - $125,500. Since Jobs 177 and 179 were sold during February, their costs should be deducted from the balance of Finished Goods on February 1. Therefore, the balance of Finished Goods on February 28 is $63,290 (Balance on February 1 - Job 177's cost - Job 179's cost).