He will have some fat from the eggs atleast 4-9 eggs is about 16-36 grams of fat. Have you actually tried this meal plan yet? your 218 your probably okay with fat if you stay around 50 grams but if your going for 40 carbs a day and 200 grams of protien thats a diet of 1410 calories. For someone that weighs 218 thats quite a drop in calories. 200 grams of protien is less then than 1 gram per lean body weight assuming you dont have 20 lbs of fat on you.

Dave is right about the protien its probably going to have to be up in the range of 350-400.

Whats your goal? How much weight do you plan on dropping. I'm not sure what kind of shape your in did you drop 20lbs due to a cutting diet or did you drop 20lbs because you had to much fat on you? Get a few morethings out to us such as a rough BF% estimate and your goal and we can help more.