a very basic cheese sauce

I halved this recipe and it was plenty for our little family.

4 tbsp. butter
2 c. milk
1/4 c. flour

Cheese: I added 4 slices of cheese when I halved this. But the directions say: Remove basic sauce from heat. Add 1 1/2 cups diced cheese 3 minutes before serving. I just think that is way too much cheese.

In frying pan melt butter, add flour over medium high heat. Mix until mixture looks like dough - "RUE". Slowly add milk stirring rapidly. Cook until mixture is same texture, add more milk, continue until thickness desired. Serve over noodles.