Sforno on Genesis 43:16/ספורנו על בראשית מ״ג:ט״ז

1ויאמר לאשר על ביתו, he himself did not want to speak to his brothers until all the other people present had left the room, in order for him to have more time to speak to them.

2הבא את האנשים הביתה, into the living quarters as opposed to the offices reserved for official functions. Up until now Joseph had been in a location where he conducted state business.

3כי אתי יאכלו, he invited them to a meal in order to observe how they related to Binyamin, and to test them how they would react when he would shower gifts of so much greater value on Binyamin