Explanation:
The correct answer is option 'B' - much.

The sentence states that the speaker does not have enough time to finish the project. In English, the word "time" is considered an uncountable noun. Uncountable nouns cannot be used with "a" or "an" because they do not refer to a specific quantity.

Countable and Uncountable Nouns:
- Countable nouns refer to things that can be counted or have a plural form. Examples include "book," "dog," and "chair."
- Uncountable nouns refer to things that cannot be counted or do not have a plural form. Examples include "water," "money," and "time."

Using "Much" with Uncountable Nouns:
When we want to talk about a large quantity or an unspecified amount of an uncountable noun, we use the word "much." "Much" is used in negative sentences and questions.
Example: I don't have much money. (not "I don't have many money.")

Using "Many" with Countable Nouns:
On the other hand, countable nouns are used with the word "many" to indicate a large quantity or an unspecified number. "Many" is also used in negative sentences and questions.
Example: I don't have many books. (not "I don't have much books.")

Conclusion:
In the given sentence, the word "time" is an uncountable noun. Therefore, we use the word "much" to indicate a large quantity or an unspecified amount. The correct answer is option 'B' - much.