1. The problem involves understanding the relationship between budget increase percentages and average team performance scores relative to targets. 2. Given the performance target is $6.75$, and individual scores for Person A: $5.75$, Person B: $9$, Person C: $7.25$, we want to analyze how these scores compare to the target and relate to budget changes. 3. Calculate the percentage difference of each person's score from the target using the formula: $$\text{Percentage difference} = \frac{\text{Score} - \text{Target}}{\text{Target}} \times 100$$ 4. For Person A: $$\frac{5.75 - 6.75}{6.75} \times 100 = \frac{-1}{6.75} \times 100 \approx -14.81\%$$ Person A's score is approximately 14.81% below the target. 5. For Person B: $$\frac{9 - 6.75}{6.75} \times 100 = \frac{2.25}{6.75} \times 100 \approx 33.33\%$$ Person B's score is approximately 33.33% above the target. 6. For Person C: $$\frac{7.25 - 6.75}{6.75} \times 100 = \frac{0.5}{6.75} \times 100 \approx 7.41\%$$ Person C's score is approximately 7.41% above the target. 7. According to the budget increase rules: - 2.5% budget increase corresponds to 0-10% higher than target. - 5.0% budget increase corresponds to 11-30% higher than target. - None corresponds to below target. 8. Applying these: - Person A is below target, so budget increase: None. - Person B is 33.33% above target, which is above 30%, so budget increase is more than 5.0% (not specified exactly). - Person C is 7.41% above target, so budget increase: 2.5%. Final answer: Person A: No budget increase. Person B: Budget increase greater than 5.0% (exceeds given categories). Person C: 2.5% budget increase.