BTW, golf tees work better than toothpicks

no

John's threaded inserts would probably be the best solution. You'd have to take precautions to predrill for the insert paying extra attention to remain perpendicular to the surface. Then when installing, don't overstress the area - just get it snug/flush.

Remove the door. The bottom hinge holes will need a little work too as they will have been stressed. Wood glue into existing holes add (tooth picks, golf tees or wood dowel was mentioned) wood to the existing holes. Tap with a hammer to make flush. Clamp over the holes. Use wax paper between the clamp and holes so the glue doesn't attach. Small piece of wood to cover both of the holes then clamp. Wait to dry. Reposition door and drill small pilot holes reattach with screws.

If they break it again, the hole will usually get bigger. You can drill and use bolts to hold it on.

Mike,

You need some proper screws for melamine or proper plastic inserts for that application. I have a bunch of them. I will be in the shop middle of next week. PM me your address and I will send you some. How many of the others doors are like that? You want to insert another 5/8" screw in the the back screw hole on that Blum wing plate. It makes it A LOT stronger. Most guy I see do not get back in there to install the third screw because after they align the door, they don't want to take the door off for that last screw. Buy a 1 1/4' sheet metal screws and replace one screw on every hinge plate through out the kitchen and you are golden. You might not be able to replace both because it will hit the other screw coming from the other side if they did the install correctly. The installer used the wrong screws and it will never hold for long.