Consider the following information developed by the accountant at ABC company that produces and sells leather cases: Total Sales (10.000 units) LE 4.000.000 COGS 2.400.000 Selling and administrative expenses 1.500.000 Other information: 1- Manufacturing variable cost per unit LE 160. 2- Selling and administrative fixed cost LE 700.000 Requires: 1- Present the contribution margin income statement (8 marks). 2- Calculate break-even point in units (3 marks) 3- Calculate break-even point value (3 marks) 4- Calculate budgeted sales in units that should be reached to earn profit of LE 300.000 (3 marks) 5- Calculate budgeted sales value that should be reached to earn profit of LE 400.000 (3 marks) 6- Suppose the target net income after taxes was LE 500.000 at income tax rate of 20%, calculate the following: a- Target net income before taxes. (2 marks) b- Target sales in units. (4 marks) c- Suppose target net income after taxes was LE 625.000, calculate the targeted sales value. (4 marks
Solution:
1.). Contribution margin income statement
See below:
2.). Break-even point in units:
Break-even point in units = Fixed Costs ÷ (Revenue per Unit - Variable Cost per Unit)
Break-even point in units = "\\frac{700,000}{(400 - 160)} = 2,917 units"
3.). Break-even in value:
Break-even in value = "\\frac{Fixed \\;Costs}{Contribution \\;margin}"
Contribution margin = "\\frac{Contribution}{Total \\;sales}" "=\\frac{100,000}{4,000,000}\\times 100 = 2.5\\%"
Break-even in value = "=\\frac{700,000}{2.5\\%} = 28,000,000"
4.). Total sales – COGS – Selling and administrative expenses – Fixed costs = 300,000
X – 2,400,000 – 1,500,000 – 700,000 = 300,000
X – 4,600,000 = 300,000
X = 300,000 + 4,600,000 = 4,900,000
Total Sales = 4,900,000
Budget sales in units = 4,900,000/10,000 = 490 units
5.). Total sales – COGS – Selling and administrative expenses – Fixed costs = 400,000
X – 2,400,000 – 1,500,000 – 700,000 = 400,000
X – 4,600,000 = 400,000
X = 300,000 + 4,600,000 = 5,000,000
Total Sales = 5,000,000
6.). a). Target net income before taxes:
Net income after taxes is 80%, find 100%?
Net income before taxes = "500,000\\times \\frac{100\\%}{80\\%} = 625,000"
Net income before taxes = LE 625,000
b.). Target sales in units = "\\frac{625,000}{10,000} = 62.5 \\;units"
c.). Targeted sales value:
First derive net income before taxes:
Net income after taxes is 80%, find 100%?
Net income before taxes = "625,000\\times \\frac{100\\%}{80\\%} = 781,250" 6
Total sales – COGS – Selling and administrative expenses – Fixed costs = 781,250
X – 2,400,000 – 1,500,000 – 700,000 = 781,250
X – 4,600,000 = 781,250
X = 781,250 + 4,600,000 = 1,241,250
Total Target Sales = 1,241,250
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