Mr. Wong is a small manufacturer of bicycles in Hong Kong. His business incurre

游客2025-06-21  1

问题  Mr. Wong is a small manufacturer of bicycles in Hong Kong. His business incurred the following costs for the year ended 31 December 2003.

Materials (100% variable) 300,000
Labor (25% variable) 200,000
Selling & distribution cost (20% variable) 50,000
Other costs (fixed) 170,000 720,000
Normally, the business sells 3,000 units at $300 each:
Required:
(a)Calculate the breakeven point in units and dollar sales.
(b)Calculate the contribution to sales ratio.
(c)Calculate the margin of safety in percentage.

选项

答案 (a) Total variable costs:

Materials 300,000
Labor ($200,000×25%) 50,000
Selling & distribution cost ($50,000×20% ) 10,000
360,000
Variable cost per unit =$360,000 / 3,000 =$120
Contribution per unit =Selling price - Variable cost =$300 -$120 =$180
Breakeven point (in units) = Fixed cost / Contribution per unit
= ($200,000×75% +$50,000×80% +$170,000)/$180
= $360,000/$180
= 2,000 units
Breakeven point (dollars sales) = Breakeven units × Selling price per unit
= 2,000×$300
= $600,000
(b) the contribution to sales ratio = $180 / $300×100% = 60%
(c) the margin of safety = (Current sales - breakeven sales) / Current sales×100%
= (3,000×$300-$600,000)/$900,000×100%
= 33.3%

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