Abicycle manufacturer builds one-, three- and ten-speed models. the bicycles need both aluminum and steel. the company has available 48,420 units of steel and 36,645 units of aluminum. the one-, three, and ten-speed models need, respectively, 12, 16 and 20 units of steel and 12, 9, and 15 units of aluminum. how many of each type of bicycle should be made in order to maximize profit if the company makes $6 per one-speed bike, $8 per three-speed, and $20 per ten-speed. what is the maximum possible profit? type the number of each type of bicycle that should be made one-speed three-speed ten-speed