Step 1: Understanding the Question:
This question tests knowledge of thinning operations and their impact on tree population.
Step 2: Key Formula or Approach:
Mechanical thinning removes trees in rows or fixed patterns.
Each mechanical thinning typically removes about 50% of the trees.
After two mechanical thinnings, the number of trees retained would be 25% of the original.
Step 3: Detailed Explanation:
Initial number of trees = 15,000.
After first thinning (50% removed): remaining = 15,000 × 0.5 = 7,500.
After second thinning (50% removed): remaining = 7,500 × 0.5 = 3,750.
Thus, the number of trees retained is 3,750.
Step 4: Final Answer:
Thus, the number of trees retained after two mechanical thinnings is 3,750, which corresponds to option (C).
[0.5cm]