1. **State the problem:** We need to find the number of Lumberman units sold given the total company profit including warranty bonuses is 363570. 2. **Identify known values:** - Treeline sale price = 39000 - Treeline profit % = 22% = 0.22 - Treeline warranty bonus % = 9% = 0.09 - Treeline units sold = 14 - Treeline warranties = 7 - Lumberman sale price = 48000 - Lumberman profit % = 20% = 0.20 - Lumberman warranty bonus % = 8% = 0.08 - Lumberman units sold = ? (unknown) - Lumberman warranties = 12 - Total profit including warranty bonuses = 363570 3. **Calculate Treeline total profit:** Profit from sales = units sold \times sale price \times profit % $$14 \times 39000 \times 0.22 = 120120$$ Warranty bonus = number of warranties \times sale price \times warranty bonus % $$7 \times 39000 \times 0.09 = 24570$$ Total Treeline profit = 120120 + 24570 = 144690 4. **Set up equation for Lumberman total profit:** Let Lumberman units sold be $x$. Profit from sales = $x \times 48000 \times 0.20 = 9600x$ Warranty bonus = $12 \times 48000 \times 0.08 = 46080$ Total Lumberman profit = $9600x + 46080$ 5. **Write total company profit equation:** $$\text{Treeline profit} + \text{Lumberman profit} = 363570$$ $$144690 + 9600x + 46080 = 363570$$ 6. **Solve for $x$:** $$9600x = 363570 - 144690 - 46080 = 172800$$ $$x = \frac{172800}{9600} = 18$$ **Answer: 18 Lumberman units were sold.**