Dissolve yeast in warm water in the bowl of a bread mixer. Add sugar, salt, oil, egg and 2 cups of flour. Mix until smooth. Add in remaining flour ¼ cup at a time (you likely will not need all of it) until dough is tacky, but not sticky and pulls away from the sides of the bowl. Knead 5 minutes.

Allow dough to rest for 10 minutes. Shape into 2 dozen rolls (they fit nicely 4x6 on a half size baking sheet). Let rise until doubled. Preheat oven to 375. Bake rolls in preheated oven for 10-13 minutes or until golden brown.