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)