Answer:
The sentence "I am throwing a party next week, and I would like to know if you can come" is correctly punctuated.
Explanation:
As this sentence, gives the complete idea of the statements which have been given. The meaning is also determined properly. The sentence focuses on the fact that the party is being throwed next week, and the knowledge is to be gained if you can come or not. The sentence if otherwise punctuated would not suited the intention of speaking and determining the right meaning.