Final answer:
The break-even point in units for Eaton Tool Company is 8,500 units.
Step-by-step explanation:
To find the break-even point in units, we need to determine the number of units where the company's total revenue equals its total costs.
The total revenue equation is given by:
Total Revenue = Price x Quantity
The total cost equation is given by:
Total Cost = Fixed Costs + Variable Costs x Quantity
Setting these equations equal to each other, we have:
Price x Quantity = Fixed Costs + Variable Costs x Quantity
Simplifying the equation, we get:
Price x Quantity - Variable Costs x Quantity = Fixed Costs
Substituting the given values, we have:
$66 x Quantity - $36 x Quantity = $255,000
Solving for Quantity:
30 x Quantity = $255,000
Quantity = $255,000 / $30 = 8,500 units
Therefore, the break-even point in units is 8,500 units.