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The problem you've provided is about calculating the marginal profit of a firm based on the cost function and price function.

### Given Information:
- **Cost function**: \( C = q^2 + 10q + 60 \) (where \( q \) is the production quantity).
- **Price function**: \( p = 250 - 0.5q \).

You are asked to find the **marginal profit** when \( q = 50 \).

### Steps to Solve:

1. **Revenue Function**:
   The revenue \( R \) is given by \( R = p \times q \).
   Since \( p = 250 - 0.5q \), the revenue function is:
   \[
   R(q) = (250 - 0.5q)

Cho hàm chi phí của một xí nghiệp C = q^2 + 10q + 60 với q là sản lượng. Giá bán của sản phẩm là p = 250 - 0.5q. Tại mức sản lượng q = 50 thì lợi nhuận biên của xí nghiệp là?

Learn how to calculate the marginal profit of a firm given a cost function C = q^2 + 10q + 60 and price function p = 250 - 0.5q. This problem involves calculating the revenue and profit at a specific production level (q = 50). Suitable for students in Grades 10-12.

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