Alocal furniture store buys furniture from various manufacturers and resells the furniture to its customers. what type of marketing channel does this represent

The type of marketing channel that this represents is direct.
This means that there are no intermediaries between the seller and the consumer. This local store buys the goods, and then sells it to the buyers itself - there is no third-party retailer or dealer which is going to do that for the local store - that would be indirect marketing, which is something this is not.