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MA206 Project 2 0602

MA206 Project 2 0602 - MA206 Project 2"Bombs Away...

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Background: The United States and coalition forces have expended an extensive amount of munitions fighting the Global War on Terrorism. In fact, the mounting economic cost of the war in Iraq and Afghanistan is a hot topic in the public eye. In an effort to optimize its budget usage, the Air Force wants to minimize the costs of bombing missions in OEF and OIF. Currently the Air Force uses various types of munitions in their missions overseas. The “smart” bombs are incredibly accurate and utilized often to mitigate civil damage. However, they are also prohibitively expensive. Therefore, the Air Force still uses older munitions that are less accurate but significantly cheaper. There are two types of munitions: the XM-68, and the XH-72. Each has slightly different capabilities. The XM-68 has a kill radius of A meters, while the XH-72 has a kill radius of B meters. The XM-68 costs the government $21,900 for each bomb, and the XH-72 costs $30,500 per bomb. The Air Force can deliver these munitions with a certain degree of accuracy. Field testing shows that the Air Force can deliver the XM-68 within C meters of the intended target, and the XH-72 within D meters of the intended target. You may assume that when a pilot drops an XM-68 or XH-72, there is an equal likelihood of the bomb impacting anywhere within the C or D meter radius of the target, respectively. In order to minimize needless waste, the Air Force wants to determine which piece of ordnance gets the most “bang for the buck.” In order to visualize this scenario, the diagrams below give an approximate view of the impact of these bombs: For the XM-68, if the bomb lands within A meters of the target, we considered the target destroyed. If two bombs land within E meters of the target, the target is also destroyed. For the
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