Yang's Material Company hauls gravel to a construction site, using a small truck and a large truck. The carrying capacity and operating cost per load are given in the accompanying table. Yang must deliver a minimum of $120$ cubic yards per day to satisfy his contract with the builder. The union contract with his drivers requires that the total number of loads per day is a minimum of $6.$ How many loads should be made in each truck per day to minimize the total cost?

$\backslash$table$[[$Small Truck,Large Truck$],[30,40],[$$$87,$$$60$