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 Wagner Enterprise sells two products, large tractors and small tractors

Management Jun 22, 2021

 Wagner Enterprise sells two products, large tractors and small tractors. A large tractor sells for $62,000 per unit with variable costs of $28,520 per unit. Small tractors sell for $34,000 per unit with variable costs of $16,320 per unit. Total fixed costs for the company are $1,560,000. Wagner Enterprises typically sells two large tractors for every three small tractors. Assuming the sales mix remains constant, how many large and small tractors are sold (in units) at Wagner's break-even point? 

Expert Solution

Computation of Weighted Average Contribution Margin:  
    Large Tractor Small tractor Total
A Price 62000 34000  
B Variable Cost per unit 28520 16320  
C = A - B Contribution Margin 33480 17680  
D Product Mix (2/5; 3/5) 40.00% 60.00% 100.00%
E = C * D Weighted Average Contribution Margin 13392 10608 24000

 

Computation of Number of Large and Small Tractors Sold at Wagner's Break-even Point:    
A Total Fixed Cost plus profit 1560000
B Weighted Average Contribution Margin 24000
C = A/B Multi Product Break Even point 65
C * 40% Large Tractor 26
C * 60% Small tractor 39
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