Four Firm Concentration C310C6
1. **State the problem:** We need to calculate the four-firm concentration ratio (CR-4) for the given market. The CR-4 measures the market share of the top four firms combined.
2. **Formula:** The four-firm concentration ratio is given by:
$$\text{CR-4} = \frac{\text{Sum of sales of top 4 firms}}{\text{Total market sales}} \times 100\%$$
3. **Identify the top 4 firms by sales:**
- Dap: 7.4 million
- American Jaybird: 7.1 million
- Expressive: 6.8 million
- LA & Company: 6.2 million
4. **Calculate total sales of top 4 firms:**
$$7.4 + 7.1 + 6.8 + 6.2 = 27.5 \text{ million}$$
5. **Calculate total market sales:**
Sum all firms' sales:
$$7.4 + 7.1 + 6.8 + 6.2 + 5.3 + 4.2 = 36.99999999999999 \approx 37.0 \text{ million}$$
6. **Calculate CR-4:**
$$\text{CR-4} = \frac{27.5}{37.0} \times 100\% = 74.324\% \approx 74\%$$
7. **Interpretation:** The top four firms control approximately 74% of the market sales.
**Final answer:** The four-firm concentration ratio is **74%**.