To a stand mixer bowl with a dough hook attached, add 3 cups of flour, 2 teaspoons instant yeast, and 1 teaspoons salt. Mix.
In a saucepan add 1 cup milk and ½ cup butter. Heat* until butter is melted. Add ¼ cup sugar and stir to dissolve.
Add milk mixture to flour and mix on low speed. Scrape sides as needed. In a small bowl, beat 1 medium egg and add to dough mixture. Mix at medium speed for 2 minutes.
At low speed, gradually add the remaining 1 cup flour. Turn speed to medium and mix for 2 minutes until a dough is formed. If dough is sticking to sides, add flour 1 Tablespoon at a time to create a ball, but only enough to do so.
Transfer dough to a greased bowl, cover and allow to rise for 60 minutes. It should be doubled in size.
Punch down, pulling the sides of dough to the center and press down. Set on a lightly floured surface, cover with a bowl, and allow to rise 15 minutes.
Cut dough into two pieces. Roll each piece to a size of about 9 x 11 inches. Melt 1 Tablespoon butter, and brush rolled out dough.
Cut each section in half lengthwise creating 4 - 4½ x 11 inch pieces. Fold each in half lengthwise and leave a bit of the buttered side exposed. Cut each piece into 4 evenly sized pieces, you will now have 16 pieces.
Grease a 9x13 inch pan with 1 Tablespoon butter. Turn rolls over and place four in a row (the longer side will run parallel with the long side of the dish)
Cover with a towel and rise for about 45 minutes.
Preheat oven to 350˚F. Bake 20-25 min until golden brown. Remove from oven, cool slightly, then brush each top with butter.