Respuesta :
The break-even point (in units and dollars) for Mary, who intends to sell two software products X & Y are:
1) Break-even point in units = Fixed costs/Weighted contribution margin per unit
X Y
= 70 units 750 units
($4,500/$64) ($4,500/$6)
2) Break-even point in dollars = Fixed costs/Weighted contribution margin ratio
X Y
= $5,625 $22,500
($4,500/80%) ($4,500/20%)
What is the break-even point?
The break-even point is the point at which the total revenue equals total costs (including variable and fixed costs).
At the break-even point, both in units and in dollars, the organization records no profit or loss.
For more than one product, the computation of the break-even point is based on the weighted contribution margin.
Data and Calculations:
X Y Total
Units Sold 60 40 100
Revenues, $200 $100 per unit
Total $12,000 $ 4,000 $16,000
Variable Costs, $120 $70 per unit
Total variable costs 7,200 2,800 10,000
Unit Contribution Margin, $80 $ 30 per unit
Weighted contribution margin $64 $6 ($30 x 20%)
Total Contribution Margin $ 4,800 $ 1,200 $ 6,000
Weighted contribution margin 80% 20% 100%
Fixed Costs 4,500
Operating Income $ 1,500
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