Final answer:
To calculate the break-even price, subtract the discounts from the purchase price, then add the desired profit and overhead expenses to get the break-even price.
Step-by-step explanation:
To calculate the break-even price, we need to calculate the total cost and then add the desired profit and overhead expenses.
- Calculate the total cost by subtracting the discounts from the purchase price: $182,000 - ($182,000 * 0.12) - ($182,000 * 0.05) = $145,040
- Calculate the desired profit on cost by multiplying the total cost by 33%: $145,040 * 0.33 = $47,939.20
- Calculate the overhead expenses on cost by multiplying the total cost by 19%: $145,040 * 0.19 = $27,558.40
- Add the total cost, desired profit, and overhead expenses together to get the break-even price: $145,040 + $47,939.20 + $27,558.40 = $220,537.60
The break-even price is $220,537.60.