furnish (something) for (someone or something)
To give something to someone or something; to supply someone or something with something. Is the company going to furnish an apartment for you, or are you supposed to find one on your own? Don't worry, the finance department is going to furnish the budget projections for our project.
furnish something for someone or something
and furnish someone or something with somethingto provide something for someone or a group. I would be happy to furnish dinner for the visitors. I furnished the board of directors with the information.
furnish something for something
to provide something to be used as something. Could you furnish the salad for our picnic? We can't furnish enough glassware for the whole party.