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The population density of a city is given by P(x,y)=-25x2-20y+200x+600y+180, where x and y are miles from the southwest corner of the city limits

The population density of a city is given by P(x,y)=-25x2-20y+200x+600y+180, where x and y are miles from the southwest corner of the city limits and P is the number of people per square mile. Find the maximum population density, and specify where it occurs. The maximum density is people per square mile at (x,y) =

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