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## Homework Statement

A real estate company owns 180 apartments, which are fully occupied when the rent is $300. The company estimates that for each $10 increase in rent, 5 apartments will become unoccupied. What rent should be charged so that the company will receive the max income?

## Homework Equations

x=-b/2a (in ax^2+bx+c)

## The Attempt at a Solution

c=cost

a=apartments

d= 10 dollar increase in price

c=300+d

a=180-5d

multiplying those together gets a nonsense negative (can't decrease the price, the apartments are full)