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Math 1200

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a complex has 205 apartment units. When the rent is $635 per month all 205 units are occupied.Assume that for each $75 increase in rent 15 units becomes vacent. Assume that the number of occupied units is a linear function of the rent. Each occupied unit also requires an average of $60 per month for sevice charges. The rent charge should maximize the profits. Obtain a formula to show the profit.

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