Assignment, Statistics
Stat 1
Project description
1. A package express carrier is considering expanding the fleet of aircraft used to transport packages. Of primary importance is that there is a total of $350 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. Of secondary importance is that the company needs at least 10 new aircraft. It takes
150 hours per month to maintain the C1A, and 100 hours to maintain the C1B. The least level of importance is that there are a total of 1,200 hours of maintenance time
available per month.
Part 1: Formulate this as an integer programming problem to maximize the number of pounds that may be carried.
Part 2: Rework the problem differently than in Part 1 to suppose the company decides that what is most important to them is that they keep the ratio of C1Bs to C1As in
their fleet as close to 1.2 as possible to allow for flexibility in serving their routes. Formulate the goal programming representation of this problem, with the other
three goals having priorities P2, P3, and P4, respectively.
Your response should be at least 200 words in length. You are required to use at least your textbook as source material for your response. All sources used, including
the textbook, must be referenced; paraphrased and quoted material must have accompanying citations.
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