Abicycle manufacturer builds? one-, three- and? ten-speed models. the bicycles need both aluminum and steel. the company has available 38,512 units of steel and 49,220 units of aluminum. the? one-, three-, and? ten-speed models? need,? respectively, 8? , 12 and 16 units of steel and 15? , 10? , and 20 units of aluminum. how many of each type of bicycle should be made in order to maximize profit if the company makes ? $2 per? one-speed? bike, ? $3 per? three-speed, and ? $8 per? ten-speed. what is the maximum possible? profit?