Answer:
a. Boeing sells an airplane to the U.S. Air Force. - government purchases.
The U.S. Air Force is a branch of the government, and is buying the airplane from Boeing. Therefore, this is a government purchase.
b. Boeing sells an airplane to American Airlines. - investment.
America Airlines, a private company, is buying the airplane to make profit from it. Therefore, it is an investment.
c. Boeing sells an airplane to Air France. - net exports.
Boeing, an American manufacturer, is selling an airplane to a foreign company: Air France, this is an import, and imports are part of net exports.
d. Boeing sells an airplane to Amelia Earhart. - consumption.
Amelia Earhart, a person, is buying an airplane. This is private consumption.
e. Boeing builds an airplane to be sold next year. - investment.
This airplane is finished inventory ready to be sold, and this type of inventory is considered an investment in the GDP calculation.