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STEIL manufactures a chainsaw that it sells for $55. Direct material costs are $8.45 per unit. Direct labor per unit requires 0.5 hours @ $25 per hour. Variable over head is $4.90 per unit. Fixed annual overhead is $35,000.
What is the margin per unit?
What is the breakeven unit volume?
What is the break even sales volume?
What is the profit or loss for 2,000 units?
Selling Price = 55
Variable cost
Direct material = 8.45
Direct labor = 0.5 per hour @ $25 per hour = 12.5
Variable Overhead = 4.9
Total VC per unit = 25.85
Total FC = 35,000
What is the margin per unit?
Margin per unit = Sales price per unit – VC per unit
Margin per unit = 55 – 25.85 = 29.15
What is the breakeven unit volume?
Break even units = FC/Margin per unit
Break even units = 35,000/29.15 = 1201 units (1200.68 units)
What is the break even sales volume?
Break Even Sales = Fixed Cost / Profit-volume Ratio
Profit-volume Ratio = (Contribution / Price)*100
Profit-volume Ratio = (29.15 / 55)*100 = 53%
Break Even Sales = 35,000 / 53% = 66,037.7
What is the profit or loss for 2,000 units?
At 2,000 units Total Cost = 35,000 + (2000*25.85) = 86,700
At 2,000 units Total Revenue = 2,000 * 55 = 110,000
Profit = TR – TC
Profit = 110,000 – 86,700 = 23,300
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