Pre-heat oven to 350 degrees Fahrenheit. Grease or line 2 cookie sheets with parchment.
In a large mixing bowl, melt butter. Add in vegetable oil and 1 1/2 cups sugar. Stir to combine.
Zest lemon into the mixing bowl. Then cut and squeeze the lemon juice into the bowl taking care not to let any seeds fall in. Stir to combine.
Add in baking soda, baking powder and flour. Stir to combine. Dough will be soft.
In a separate small bowl, add 1/4 granulated sugar (or sanding sugar if you have it).
Scoop dough by the tablespoonful and roll into a ball. Roll the dough ball in the sugar and place on cookie sheet.
Once your cookie sheet is full, bake cookies at 350 degrees for about 8 minutes. You want them to puff up but not get super brown on the bottom or they will be crunchy when cooled.