A company's profit function is given by $$ P(x) = 50x - 200 ...

Question Analysis
This question tests the student's ability to add two linear functions and interpret the result in a real-world context.

Key Concept Explanation
When adding functions, combine like terms. The resulting function will be a new function with the same input variable.

Step-by-step Solution
1. Start with the given functions: and
2. Add the functions: