Debbie,
I'd worry about Max being lonely. But I guess if you leave enough food and water out for him, keep either a radio or the tv on so it's not TOTALLY quiet, he might be fine.
If it were me, I would leave them both home to keep each other company. That also depends on how they get along with each other. Cats (aside from MY cat MooShoo, who loves riding in the car and meeting people) don't like change, and can get stressed out in situations like that.
That is only my opinion, though.
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