Problem 3-17A Determining the break-even point and preparing a contribution marg
ID: 2422973 • Letter: P
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Problem 3-17A Determining the break-even point and preparing a contribution margin income statement LO 3-1 Lucent Manufacturing Company makes a product that it sells for $75 per unit. The company incurs variable manufacturing costs of $30 per unit. Variable selling expenses are $9 per unit, annual fixed manufacturing costs are $240,000, and fixed selling and administrative costs are $165,000 per year. Determine the break-even point in units and dollars using each of the following approaches: a. Equation method. Break-even point in units Break-even point in dollars b. Contribution margin per unit. Contribution margin per unit Break-even point in units Break-even point in dollarsExplanation / Answer
Lucent Manufacturing Marginal Costing Details Amt per unit $ Total Amt $ Selling Price 75.00 Variable Manufacturing Cost 30.00 Variable Selling Expense 9.00 Total Variable cost 39.00 Unit Contribution margin 36.00 Fixed costs Annual Fixed Manufacturing Cost 240,000.00 Fixed Selling & Admin Cost 165,000.00 Total Fixed Costs 405,000.00 a Assume Break even units =k So . K*36=405000 or, k=11250 So Break even units 11,250.00 Unit sales price 75.00 Break even sales $ 843,750.00 b Unit Contribution margin 36.00 Total Fixed Costs 405,000.00 Break even units=405000/36= 11,250.00 Unit sales price 75.00 Break even sales $ 843,750.00 c Contribution margin ratio=36/75= 48% Total Fixed Costs 405,000.00 Break even sales=405000/48% 843,750.00 Unit sales price 75.00 Break even units=843750/75= 11,250.00 d Lucent Manufacturing Contribution margin Income statement at BEP sales Units sold 11,250.00 Details Amt $ Sales 843,750.00 Variable Manufacturing Cost @$30/unit 337,500.00 Variable Selling Expense@$9/unit 101,250.00 Total Variable cost 438,750.00 Contribution margin 405,000.00 Fixed costs Annual Fixed Manufacturing Cost 240,000.00 Fixed Selling & Admin Cost 165,000.00 Total Fixed Costs 405,000.00 Net Operating Income -
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