Abicycle manufacturer builds? one-, three- and? ten-speed models. the bicycles need both aluminum and steel. the company has available 40,700 units of steel and 30,690 units of aluminum. the? one-, three-, and? ten-speed models? need,? respectively, 8, 12 and 20 units of steel and 9, 66? and15 units of aluminum. how many of each type of bicycle should be made in order to maximize profit if the company makes ? $4 per? one-speed? bike, ? $6 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.