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You are the developer of a square plot of land, 5 miles by 5 miles. In this plot of land, you will build an artificial lake in the shape of a square, 1 mile by 1mile, whose center coincides with the center of the entire plot. You will then divide the entire land area into 10,000 square foot plots of land, 100 feet by 100 feet by building lots of lakefront access and lots with non-lakefront access. You want the MAXIMUM number of homes of both types. 1. How many lakefront access properties can you build? 2. How many non-lakefront access properties can you build?
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