Joe is the proud owner of Joe's Old Time BBQ Pit. He sells two types of BBQ sauce - Hot N' Spicy and Mild Mannered. Each gallon of Hot N' Spicy requires 2 quarts of tomato sauce and 2 cups of hot peppers. Each gallon of Mild Mannered requires 3 quarts of tomato sauce and 1 cup hot peppers. Joe makes a profit of $38 on each gallonof Hot N' Spicy and $35 profit on each gallon of Mild Mannered. He has 18 quarts of tomato sauce and 10 cups of hot peppers on hand. How many gallons of each type of BBQ sauce should he make to maximize his profits?