1. The break-even points in sales units are computed as follows:
Break-even point (in units) = Direct fixed cost/contribution margin per unit
Regular model = 20,000 units ($1,200,000/$60)
Deluxe model = 3,529 units ($960,000/$272)
2. The Alo Company's Sales revenue to break-even, company-wide, is computed as follows:
<u>Sales Revenue at break-even point:</u>
= Fixed costs/Contribution margin ratio
= $3,660,800/40%
= $9,152,000
Data and Calculations:
Regular Model Deluxe Model Total
Expected sales quantity 90,000 18,000 108,000
Sales $13,500,000 $12,240,000 $25,740,000
Less: Variable costs 8,100,000 7,344,000 15,444,000
Contribution margin $5,400,000 $4,896,000 $10,296,000
Less: Direct fixed costs 1,200,000 960,000 2,160,000
Segment margin $4,200,000 $3,936,000 $8,136,000
Less:Common fixed costs 1,500,800
Operating income $6,635,200
Selling price per unit $150 $680 ($12,240,000/18,000)
Variable costs per unit $90 $408 ($7,344,000/18,000)
Contribution margin $60 $272 ($680 - $408)
Contribution margin ratio for the company = 40% ($10,296,000/$25,740,000 x 100)
Company total fixed costs = $3,660,800 ($2,160,000 + $1,500,800)
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