Answer
Selling price = 1,000,000 / 100,000 = $10
Variable cost per unit = 700,000 / 100,000 = $7
Contribution margin per unit = selling price - variable cost
Contribution margin per unit = 10 - 7 = $3
Fixed cost = $210,000
1 Break even point in unit = fixed cost / contribution margin per unit
Break even point in unit = 210,000 / 3 = 70,000 units
Boswell company need to sell 70,000 units to break even.
2 units sold to generate desired operating income
= (fixed cost + desired operating income) / contribution margin per unit
Units sold to generate operating income $150,000
= (210,000 + 150,000) / 3 = 120,000 units
The Bidwell company need to sell 120,000 units generate operating income $150,000.
3 new fixed cost = 210,000 + 31,500 = $241,500
Break even point in units = 241,500 / 3 = 80,500 units
The new break even point in unit is 80,500.
The above are the detailed calculations of 3 different scenarios.
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