Jessica Simpson went for a casual look when she ran errands around Beverly Hills yesterday. She stepped out in green sweatpants and a black top to go shopping at Ralph Lauren. Although she didn't have Maxwell with her during the outing, she did take her daughter to Charlotte, NC, where they promoted the Jessica Simpson Collection at a mall. It was Maxwell's red carpet debut, and the 11-month-old was joined by Jessica's sister, Ashlee, as well. The trip south wasn't just about work, though, since Jessica, Ashlee, and Maxwell reportedly went out for a "very sweet" family dinner at The Ritz-Carlton during their stay.