(1) Boeing \( 747 \) s seatt \( 400 \) passengers and are priced at \( \$ 200 \) million each, Boeing \( 777 \) s seat \( 300 \) passengers and are priced at \( \$ 160 \) million, and European Airbus A321s seat \( 200 \) passengers and are priced at \( \$ 60 \) million. You are the purchasing manager of an airline company and have a \( \$ 8,640 \) million budget to purchase new aircraft to seat a total of \( 20,800 \) passengers. Both Boeing planes are manufactured in the US, and your company has a policy of support- ing U.S. industries. You are required to spend twice as much on U.S-manufactured aircrafts as on foreign aircraft. Given the selection of these three aircraft, how many of each should you order?