Petra, Inc. has collected the following data. (There are no beginning inventories.): Units produced 580 units Units sold 580 units Sales price $ 230 per unit Direct materials $ 30 per unit Direct labor $ 35 per unit Variable manufacturing overhead $ 10 per unit Fixed manufacturing overhead $ 23 comma 000 per year Variable selling and administrative costs $ 15 per unit Fixed selling and administrative costs $ 10 comma 000 per year What is the operating income using absorption costing? (Round any intermediate calculations to the nearest cent and your final answer to the nearest dollar.)

Operating income is $28,197.2

Explanation:

In order to calculate operating income, first we have to calculate total product cost per unit which is calculated as shown below:

Direct material per unit = $30

Direct labor = $35

Variable manufacturing overhead per unit = $10

Fixed manufacturing overhead per unit = 23,000 ÷ 580 = $39.66 per unit

Product cost per unit = 30 + 35 + 10 + 39.66 = $114.66

Now compute operating income as shown below:

Total sales = Per unit sales price × Units sold

                  = $230 × 580

                  = $133,400

Cost of goods sold = Units produced × product cost per unit

                                = 580 × 114.66

                                = $66,502.8

Gross profit = Sales - COGS

                    = 113,400 - 66,502.8

                    = $46,897.2

Fixed selling and administrative cost = $10,000

Variable selling and administrative cost = 15 × 580 = $8,700

Total selling and administrative cost = 10,000 + 8,700 = $18,700

Operating income = Gross profit - total selling and administrative cost

                               = $46,897.2 - 18,700

                               = $28,197.20

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