A restaurant has hired you to build an open-top fish tank for their foyer. They have commissioned $2700 for materials, and they want the tank to have a square base. Your supplier will sell you materia

A restaurant has hired you to build an open-top fish tank for their foyer. They have commissioned $2700 for materials, and they want the tank to have a square base. Your supplier will sell you material for the base for $4/ft^2 and glass for the sides for $3/ft^2. What dimensions should you choose for the tank in order to maximize its volume?