The All-American Aircraft Corporation manufactures two models of planes, both a light and a heavy bomber. All-American Aircraft makes a profit of $300 per light bomber and $200 per heavy bomber. Each department has certain restrictions concerning the number of planes that can be manufactured per day. Production: No more than 7 heavy bombers and no more than 11 light bombers can be manufactured per day. Shipping: No more than 12 planes, total, can be manufactured per day. Labor: They must use 1000 or more man-hours of labor per day. (It takes 100 man-hours to manufacture each light bomber and 200 man-hours to manufacture each heavy bomber.) Write and graph the inequalities for the production and shipping of the aircraft, and the labor involved. Write an equation modelling the total profit, P, made from the planes. (this will not be graphed)