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The business manager of a 90 unit apartment building is trying to determine the rent to...

The business manager of a 90 unit apartment building is trying to determine the rent to be charged. From past experience with similar buildings, when rent is set at $400, all the units are full. For every $20 increase in rent, one additional unit remains vacant.

a). What is the formula for revenues R after   x $20 price hikes in the apartment building?

b) Find the maximum revenue (or income) of the apartment building

c) What is the rent that coincides with this maximum revenue?

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