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PM KAPLAN-Quantitative Analysis

BBeky5y ago
Dear John I need your help on Quantitative Analysis and Budgeting KAPLAN Question 116 The Management account of Business has identified the following information Activity Level 800 Unit 1200 Unit Total Cost $16,400.00 $23,600.00 The fixed Cost of business step up by 40% at 900 Units. What is the variable cost per unit? A . $8 B. $18 C.$19.67 D.$20
John MoffatJohn MoffatTutor5y ago#1
The easiest was is to use a bit of simple algebra. Let the variable cost per unit be V and the fixed cost at levels below 900 be F (so the fixed cost at levels about 900 is F + 0.4F = 1.4F). At the 800 level: 800V + F = 16,400 At the 1200 level: 1200V + 1.4F = 23,600 If you multiply the first equation by 1.4: 1,120V + 1.4F = 22,960 If you now subtract the second question from this third equation: 80V + 0 = 640 Therefore V = 640/80 = $8 per unit.
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