college algebra word problems

label Mathematics
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i am stuck on the following problem. here is a pic of the problem

http://imgur.com/QXimbwS

any help would be appreciated

Nov 21st, 2014

Rent = 600+10x

Occupancy = 120-x

(600+10x)(120-x)= 72000+600x-10x2

Maximize owner’s income is to maximize

72000+600x-10x2

Equating the derivative to zero

600-20x=0

20x =600

x =30

Income = (600+300)(120-30) =900 *90 =81000

rent = 600+10*30 =600+300=900


Nov 21st, 2014

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