Exercise 6-14 Break-Even and Target Profit Analysis [LO6-3, LO6-4, LO6-5, LO6-6]
Lindon Company is the exclusive distributor for an automotive product that sells for $56.00 per unit and has a CM ratio of 30%. The company’s fixed expenses are $411,600 per year. The company plans to sell 29,300 units this year.
Required:
1. What are the variable expenses per unit? (Round your "per unit" answer to 2 decimal places.)
2. What is the break-even point in unit sales and in dollar sales?
3. What amount of unit sales and dollar sales is required to attain a target profit of $243,600 per year?
4. Assume that by using a more efficient shipper, the company is able to reduce its variable expenses by $5.60 per unit. What is the company’s new break-even point in unit sales and in dollar sales? What dollar sales is required to attain a target profit of $243,600?
1 | Variable expense per unit | |
2 | Break-even point in units | |
Break-even point in dollar sales | ||
3 | Unit sales needed to attain target profit | |
Dollar sales needed to attain target profit | ||
4 | New break-even point in unit sales | |
New break-even point in dollar sales | ||
Dollar sales needed to attain target profit |
Variable expense ratio = 100-30 = 70%
1) Variable expense per unit = 56*70% = $39.20 per unit
2) Break even point in units = 411600/16.80 = 24500 Units
Break even point in dollar sales = 24500*56 = $1372000
3) Units sales needed to attain target profit = (411600+243600)/16.80 = 39000 Units
Dollar sales needed to attain target profit = 39000*56 = $2184000
4) New break-even point in unit sales = 411600/22.40 = 18375 Units
New break-even point in dollar sales = 18375*56 = $1029000
Dollar sales needed to attain target profit = (411600+243600)/22.40 = 29250*56 = $1638000
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