It looks like your question about the manufacturer's cost function got cut off. Typically, in a cost function represented as \( f(x) \), where \( x \) is the number of units produced, \( f(x) \) would represent the total cost associated with producing \( x \) units.
A common form of a cost function might include fixed costs and variable costs. For example:
\[ f(x) = C + Vx \]
Where:
- \( C \) is the fixed cost (cost incurred regardless of production level)
- \( V \) is the variable cost per unit (cost that varies with the number of units produced)
- \( x \) is the number of units produced
If you can provide the complete function or additional details, I’d be happy to help you analyze or interpret it!