Question: exercise 5.2: the contribution margin and the pv ratio In $ Revenue 420,000 Variable costs Purchases (205,000) Freight-in (4,000) Commissions (3,000) Total variables costs (212,000)
exercise 5.2:
the contribution margin and the pv ratio
In $
Revenue 420,000
Variable costs
- Purchases (205,000)
- Freight-in (4,000)
- Commissions (3,000)
Total variables costs (212,000)
Contribution margin 208,000
Fixed costs
- Salaries (distribution) (60,000)
- Travel (3,000)
- Advertising (5,000)
- Salaries (administration) (38,000)
- Depreciation/amortization (40,000)
- Leasing (7,000)
- Finance costs (14,000)
Total fixed costs (167,000)
Profit before taxes 41,000
(1) Profit before taxes (excluding other income) is $41,000
(2) Contribution margin is $208,000
(3) PV ratio is .495 ($208,000 $420,000)
exercise 5.3:
the break-even point
The Millers are thinking of introducing a new product line in their store. For this exercise, assume the following:
- Total fixed costs for the line are estimated at $15,000.
- Total number of units they expect to sell are 10,000, based on a market study.
- Total variable costs are $20,000.
- Unit selling price is $4.50.
Based on the information, answer the following questions:
Unit selling price $4.50
Unit variable costs (2.00) ($20,000 10,000 units)
Unit contribution margin $2.50
- What is the break-even point in units?
Fixed costs $15,000
---------- = 6,000 units
Contribution margin $2.50
- What is the break-even point in revenue?
Number of 6,000 units $4.50 = $27,000
- Should they go ahead with their plan?
Yes, they should go ahead with the decision. They expect to sell 10,000 units and the break-even point is 6,000 (60% of the objective). In terms of revenue, the expected revenue based on the study is $45,000 and the revenue break-even is $27,000 (also 60% of the revenue objective).
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