Step 1: Understand first-degree price discrimination.
First-degree price discrimination, also known as personalized pricing or perfect price discrimination, occurs when a firm charges each consumer the maximum price they are willing to pay for a good or service.
Step 2: Analyze each option.
- Option (A) is incorrect because, under first-degree price discrimination, total surplus (which includes consumer surplus and producer surplus) is maximized, and all of it becomes the producer's surplus, not just profit.
- Option (B) is correct because under first-degree price discrimination, the consumer surplus is entirely extracted by the firm and hence is zero.
- Option (C) is incorrect because deadweight loss is zero in the case of first-degree price discrimination since every consumer is charged exactly what they are willing to pay.
- Option (D) is incorrect because producer surplus is maximized under first-degree price discrimination, not zero.
Final Answer:
\[
\boxed{\text{Consumer surplus is equal to zero in the case of first-degree price discrimination.}}
\]