Answer the following in word limit of 200 words each:
Question 1
A package express carrier is considering expanding the fleet of aircraft used to transport packages. There is a total of $220 million allocated for purchases. Two types of aircraft may be purchased - the C1A and the C1B. The C1A costs $25 million, while the C1B costs $18 million. The C1A can carry 60,000 pounds of packages, while the C1B can only carry 40,000 pounds of packages. The company needs at least eight new aircraft. In addition, the firm wishes to purchase at least twice as many C1Bs as C1As. Formulate this as an integer programming problem to maximize the number of pounds that may be carried.
Question 2
SE Appliances manufactures refrigerators in Richmond, Charlotte, and Atlanta. Refrigerators then must be shipped to meet demand in Washington, New York, and Miami. The table below lists the shipping costs, supply, and demand information.
How many units should be shipped from each plant to each retail store in order to minimize shipping costs?
![](data:image/png;base64,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)