2. On June 24, 1948, the former Soviet Union blocked all land and water routes through East Germany to Berlin. A gigantic airlift was organized using American and British planes to bring food, clothing, and other supplies to the more than 2 million people in West Berlin. The Americans had two types of planes available, the C-47 Skytrain and the C-54 Skymaster. The carrying capacity was 3.5 tons for a C-47 and 10 tons for a C-54. To break the Soviet blockade, the Western Allies had to maximize carrying capacity, but the Americans were limited by the following restrictions: . No more than 44 planes could be used per day. . Each C-47 required 4 crew members per flight and the crew requirement for the C-54 was 5. The total number of personnel available per day could not exceed 200. The Americans only had 32 C-54's available. Find the number of C-47's and C-54's the Americans used to maximize their carrying capacity. a. Define the variables. Be specific with descriptive words. b. Clearly state the constraints (all inequalities) related to the feasible region. c. State the objective function. d. Use the graphical method to solve: Graph the solution region, showing the intercepts used. Label axes, units, points and lines. Find and label all corner points. The grid for the graph is on the next page. Show all necessary work. e. Find the number of C-47's and C-54's the Americans used to maximize their carrying capacity.2. On June 24, 1948, the former Soviet Union blocked all land and water routes through East Germany to Berlin. A gigantic airlift was organized using American and British planes to bring food, clothing, and other supplies to the more than 2 million people in West Berlin. The Americans had two types of planes available, the C-47 Skytrain and the C-54 Skymaster. The carrying capacity was 3.5 tons for a C-47 and 10 tons for a C-54. To break the Soviet blockade, the Western Allies had to maximize carrying capacity, but the Americans were limited by the following restrictions: . No more than 44 planes could be used per day. . Each C-47 required 4 crew members per flight and the crew requirement for the C-54 was 5. The total number of personnel available per day could not exceed 200. The Americans only had 32 C-54's available. Find the number of C-47's and C-54's the Americans used to maximize their carrying capacity. a. Define the variables. Be specific with descriptive words. b. Clearly state the constraints (all inequalities) related to the feasible region. c. State the objective function. d. Use the graphical method to solve: Graph the solution region, showing the intercepts used. Label axes, units, points and lines. Find and label all corner points. The grid for the graph is on the next page. Show all necessary work. e. Find the number of C-47's and C-54's the Americans used to maximize their carrying capacity.