Step 1: Understanding a Price Taker Firm: 
  
A price taker is a firm that operates in a perfectly competitive market where the firm cannot influence the price of the good or service it sells. The firm must accept the market price as given. Key characteristics of a price taker include a perfectly elastic demand curve (horizontal), marginal revenue equal to the price, and average revenue equal to the price. 
Step 2: Analyzing the Options: 
  
- Option (A) TR = P × Q: This is true. For a price taker, total revenue is simply the price multiplied by the quantity sold, as the firm accepts the market price. 
  
- Option (B) AR = Price: This is true. For a price taker, average revenue is equal to the price, because the price remains constant for all quantities sold. 
  
- Option (C) Negatively sloped demand curve: This is incorrect. A price taker firm faces a perfectly elastic (horizontal) demand curve, not a negatively sloped one. The firm can sell as much as it wants at the market price, but if it tries to charge more, it loses all customers. 
  
- Option (D) Marginal revenue = Price: This is true. In perfect competition, marginal revenue is equal to the price because the firm is a price taker. 
Step 3: Conclusion and Answer: 
  
The correct answer is (C) because a price taker firm faces a perfectly elastic demand curve, not a negatively sloped one.