rall 2022 Buddy is building a new maple syrup tank and wants it be able to hold a volume of 60 m' of syrup. He is building it as a box with a square bottom and without a lid (for easy access), and is constructing it out of two different materials. If the material for the square bottom of the box costs $40 per m and the material for the sides of the box costs $30 per ma, find the dimensions (i.e. the width of the square base and height of the box) of the vat that will minimize the total cost. Draw and label a picture that represents this scenario and show that your answer is a minimum using the second derivative test