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The following information is available for Dakota Company: Product 1Product 2Sales$1,400,000$1,800,000Direct materials(200,000)(400,000)Direct labor(600,000)(600,000)Manufacturing overhead*  (500,000)  (500,000)Gross margin$   100,000$   300,000*allocated based on direct labor hoursDakota Company has decided to allocate its manufacturing overhead cost using activity-based costing. Manufacturing overhead will be allocated based on batch-level and product line manufacturing as follows: Total   Manufacturing   Overhead CostsProduct 1Product 2Batch-level manufacturing overhead$600,00020 batches60 batchesProduct line manufacturing overhead$400,00010 lines   40 lines     What is Dakota Company's gross margin for Product 2 using activity based costing? $350,000$30,000$480,000$300,000

Question

The following information is available for Dakota Company: Product 1Product 2Sales1,400,0001,400,0001,800,000Direct materials(200,000)(400,000)Direct labor(600,000)(600,000)Manufacturing overhead*  (500,000)  (500,000)Gross margin  100,000   100,000   300,000*allocated based on direct labor hoursDakota Company has decided to allocate its manufacturing overhead cost using activity-based costing. Manufacturing overhead will be allocated based on batch-level and product line manufacturing as follows: Total   Manufacturing   Overhead CostsProduct 1Product 2Batch-level manufacturing overhead600,00020batches60batchesProductlinemanufacturingoverhead600,00020 batches60 batchesProduct line manufacturing overhead400,00010 lines   40 lines     What is Dakota Company's gross margin for Product 2 using activity based costing? 350,000350,00030,000480,000480,000300,000

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Solution

To calculate the gross margin for Product 2 using activity-based costing, we first need to allocate the manufacturing overhead costs based on batch-level and product line manufacturing.

  1. Batch-level manufacturing overhead allocation: Total overhead cost is 600,000.Thisisdividedamong80batches(20forProduct1and60forProduct2).So,thecostperbatchis600,000. This is divided among 80 batches (20 for Product 1 and 60 for Product 2). So, the cost per batch is 600,000 / 80 = 7,500perbatch.ForProduct2,thisamountsto7,500 per batch. For Product 2, this amounts to 7,500 * 60 = $450,000.

  2. Product line manufacturing overhead allocation: Total overhead cost is 400,000.Thisisdividedamong50lines(10forProduct1and40forProduct2).So,thecostperlineis400,000. This is divided among 50 lines (10 for Product 1 and 40 for Product 2). So, the cost per line is 400,000 / 50 = 8,000perline.ForProduct2,thisamountsto8,000 per line. For Product 2, this amounts to 8,000 * 40 = $320,000.

  3. Total manufacturing overhead for Product 2 is therefore 450,000(batchlevel)+450,000 (batch-level) + 320,000 (product line) = $770,000.

  4. The gross margin for Product 2 is then calculated as Sales - Direct Materials - Direct Labor - Manufacturing Overhead. Substituting the given and calculated values, we get 1,800,0001,800,000 - 400,000 - 600,000600,000 - 770,000 = $30,000.

So, the gross margin for Product 2 using activity-based costing is $30,000.

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