Asked by Khaly Barry on Jul 15, 2024
Verified
Mio Canoe Livery rents canoes and transports canoes and customers to and from their canoe trip on a local river.The trip is priced at $20 per person and has a CM ratio of 30%.Mio's fixed expenses are $84,000.Last year, sales were $400,000 and profit was $36,000.How many units need to be sold to break-even, and how many need to be sold to earn a profit of $42,000?
A) 1,800 and 2,100
B) 6,000 and 8,143
C) 14,000 and 21,000
D) 4,200 and 6,300
CM Ratio
The CM Ratio, or Contribution Margin Ratio, is a financial metric that shows the proportion of sales revenue that exceeds variable costs, indicating the amount available to cover fixed costs and generate profit.
Fixed Expenses
Costs that remain constant for a set period and do not vary with changes in activity level, production volume, or sales, such as lease payments and utility bills. This is a rephrased definition of Fixed Costs.
Profit
The financial gain achieved when the amount of revenue gained from a business activity exceeds the expenses, costs, and taxes involved in sustaining the activity.
- Gain insight into the notion of the break-even point regarding sales revenue and units sold.
- Utilize break-even analysis to facilitate knowledgeable business decision-making.
Verified Answer
= $84,000 ÷ 0.30 = $280,000
Unit sales to break even = $280,000 ÷ $20 per person = 14,000 persons
Dollar sales to attain a target profit = (Target profit + Fixed expenses)÷ CM ratio
= ($42,000 + $84,000)÷ 0.30 = $420,000
Unit sales to attain a target profit = $420,000 ÷ $20 per person = 21,000 persons
Learning Objectives
- Gain insight into the notion of the break-even point regarding sales revenue and units sold.
- Utilize break-even analysis to facilitate knowledgeable business decision-making.
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