1. **State the problem:** An RV dealer buys 14 RVs at $25,250 each and sells them with a 22% markup. The dealer has monthly business costs of $45,000. We need to find the profit after these costs.
2. **Calculate the total cost of purchasing the RVs:**
$$\text{Total cost} = 14 \times 25250 = 353500$$
3. **Calculate the selling price per RV with a 22% markup:**
$$\text{Selling price per RV} = 25250 + 0.22 \times 25250 = 25250 \times 1.22 = 30805$$
4. **Calculate total revenue from selling all 14 RVs:**
$$\text{Total revenue} = 14 \times 30805 = 431270$$
5. **Calculate gross profit before business costs:**
$$\text{Gross profit} = \text{Total revenue} - \text{Total cost} = 431270 - 353500 = 77770$$
6. **Subtract monthly business costs to find net profit:**
$$\text{Net profit} = 77770 - 45000 = 32770$$
**Final answer:** The RV dealer makes a profit of $32770 this month.
Rv Dealer Profit
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