Here is a very simplified version of the problem: Maximize the cargo capacity of the planes subject to the restrictions: 1. The number of planes is limited to 44. 2. The American planes are larger than the British planes and therefore need twice the number of personnel per flight. Let one "crew" represent the number of flight personnel required for a British plane. Then two "crews" are required for an American flight. The total number of crews available is at most 64. 3. The cost of an American flight is $9,000 and the cost of a British flight is $5,000 and the total cost per week is limited to $300,000. 4. The cargo capacity of an American plane is 30,000 cubic feet and the cargo capacity of a British plane is 20,000 cubic feet. How many American and British planes should be used to maximize the cargo capacity? Part 1: Setting up the linear programming model for the given word problem. 1. What are the variables? Write these in sentence form. (Ex. Let x= number of ...) 2. What is the objective function? 3. What are the constraints? Be sure to list them all