An engineering company needs to design a metal storage container in the shape of a rectangular box with an open top. The container needs to be designed to have a volume of 150m3. The length of the base of the container is to be three times the width of the base of the container. The cost of the materials for the side of the container is 40 $/m2. The cost of the materials for the base of the container is 60 $/m2 since the base of the container is to be reinforced. What is the minimum cost of the materials used to build the container to these specifications?