(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

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

3. 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)

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# Homework Help: Optimization (I believe it's called) word problems

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