In: Operations Management
QUESTION ONE:
Absorption and Variable Costing: Prepare and Reconcile Variable costing Statements
Audiophonics Limited manufactures and sells high-quality and durable ear buds for use with personal electronics that are custom moulded to each customer’s ear. Cost data for the product follows:
Variable costs per unit:
Direct materials $12
Direct labour 24
Variable factory overhead 8
Variable selling and administrative 6
Total variable costs per unit $50
Fixed costs per month:
Fixed manufacturing overhead $240,000
Fixed selling and administrative 180,000
Total fixed costs per month $420,000
The product sells for $80 per unit. Production and sales data for May and June, the first two months of operations, are as follows:
Units Produced Units Sold
May 15,000 13,000
June 15,000 17,000
Income statements prepared by the Accounting Department using absorption costing are presented below:
May June
Sales $1,040,000 $1,360,000
Cost of goods sold:
Beginning inventory 0 120,000
Add cost of goods manufactured 900,000 900,000
Goods available for sale 900,000 1,020,000
Less ending inventory 120,000 0
Cost of goods sold 780,000 1,020,000
Gross margin 260,000 340,000
Selling and administrative expenses 258,000 282,000
Operating income $2,000 $58,000
REQUIRED:
Fixed cost per month = $420,000 = 14,000 units
Unit contribution margin $30 per unit
On receiving this figure, the president commented, “There’s something peculiar here. The comptroller says that the break-even point is 14,000 units per month. Yet we sold only 13,000 units in May, and the income statement we received showed a $2,000 profit. Which figure do we believe?” Prepare a brief explanation of what happened on the May income statement.
Ans 4 : This is happening because the fixed overhead is included in the Contribution amount while calculating the break even point .
Actual Break even Point should be = 420000 /(80-44) = 11667 units.
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