Question:
Headsmart, a three-year-old company, has been producing and selling a single type of bicycle helmet. Headsmart uses standard costing. After reviewing the statements of comprehensive income for the first three years, Stuart Weil, president of Headsmart, commented, "I was told by our accountants-and in fact, I have memorized-that our breakeven volume is 50,000 units. I was happy that we reached that sales goal in each of our first two years. But, here's the strange thing: in our first year, we sold 50,000 units and indeed we broke even. Then, in our second year we sold the same volume and had a positive operating income. I didn't complain, of course ... but here's the bad part. In our third year, we sold 20% more helmets, but our operating income fell by more than 80% relative to the second year! We didn't change our selling price or cost structure over the past three years and have no price, efficiency, or rate variances ... so what's going on?!"
Required
1. What denominator level is Headsmart using to allocate fixed manufacturing costs to the bicycle helmets? How is Headsmart disposing of any favourable or unfavourable production-volume variance at the end of the year? Explain your answer briefly.
2. How did Headsmart's accountants arrive at the breakeven volume of 50,000 units?
3. Prepare variable-costing-based statements of comprehensive income for each year. Explain the variation in variable costing operating income for each year based on contribution margin per unit and sales volume.
4. Reconcile the operating incomes under variable costing and absorption costing for each year, and use this information to explain to Stuart Weil the positive operating income in 2015 and the drop in operating income in 2016.
Contribution Margin
Contribution margin is an important element of cost volume profit analysis that managers carry out to assess the maximum number of units that are required to be at the breakeven point. Contribution margin is the profit before fixed cost and taxes...
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Absorption Costing Sales (units) 2014 2015 50,000 2016 50,000 60,000 Revenues $2,100,000 $2,100,000$2,520,000 Cost of goods sold: Beginning inventory Production Available for sale Deduct ending inventory Adjustment for production-volume variance Cost of goods sold Gross margin Seling and administrative expenses (all fixed) Operating income Beginning inventory Production (units) Sales (units) Ending inventory Variable manufacturing cost per unit Fixed manufacturing overhead costs Fixed manufacturing costs allocated per unit produced 380,000 1,900,000 2,280,000 2,280,000 2,280,000 (380,000) (240,000) 1,660,000 440,000 200,000 0 240,000 1,900,000 1,900,000 1,900,000 200,000 200,000 2,280,000 240,000 200,000 $ 40,000 10,000 50,000 60,000 50,000 60,000 50,000 10,000 14 $1,200,000 24 50,000 14 $1,200,000 $24 S 14 $1,200,000 $ 24