Final answer:
The O'Reilly Company's current annual operating income is $130,000, calculated by subtracting total variable costs and fixed costs from total revenue. The current breakeven point in revenues is $2,175,000, found by calculating the breakeven units and multiplying by the price per unit.
Step-by-step explanation:
The question involves calculating the current annual operating income and the breakeven point in revenues for the O'Reilly Company, which manufactures and sells pens. To calculate the operating income, the formula to use is:
Total Revenue - Total Variable Costs - Fixed Costs = Operating Income
For the current annual operating income:
- Total Revenue = 5,000,000 units x $0.50 per unit = $2,500,000
- Total Variable Costs = 5,000,000 units x $0.30 per unit = $1,500,000
- Fixed Costs = $870,000
- Operating Income = $2,500,000 - $1,500,000 - $870,000 = $130,000
For the current breakeven point in revenues, the formula to use is:
Fixed Costs / (Price per Unit - Variable Cost per Unit) = Breakeven Units
Then multiply breakeven units by price per unit to find breakeven revenues.
Breakeven Units = $870,000 / ($0.50 - $0.30) = 4,350,000 units
Breakeven Revenues = 4,350,000 units x $0.50 = $2,175,000