DH and I are staying in a studio for 4 nights after a week in a 2 bedroom with our kids, who will be leaving before us. In the past, we have just made sure we have breakfast items, we always have enough to make sub-like sandwiches (meat, cheese, lettuce, condiments), and microwaveable food and snacks that don't need to be kept frozen (soup, popcorn, hotdogs, etc.). Being there for 10 days if you aren't driving, it is worth it to rent a car for one day and make a grocery run for water, juice, milk, bread and other staple items you can keep in your studio kitchen.
We also find that we enjoy eating out once a day for dinner, and always have leftovers, so that's usually our lunch for the next day (we always have leftovers from Wolfgang Puck Express at DTD - their pasta is just as good the second day!). The DDP is just too much food for us. We pay OOP, then when we have leftovers, we don't have to buy much the next day. We can also share entrees and appetizers to cut costs.