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Simora [160]
3 years ago
7

The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $800 per month.

A market survey suggests that, on average, one additional unit will remain vacant for each $10 increase in rent. What rent should the manager charge to maximize revenue?
Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0
800 * 100 = 80000
810 * 99 = 80190
900 * 90 = 81000
1000 * 80 = 80000
(800 + 10n) (100-1n)
=(800 +10(11)) (100 - 11)<span> (910)(89) = 80990</span>
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irina1246 [14]
Lateral area of the cone is given by:
LA=πr√(h²+r²)
where:
h=height
r=radius
Given that LA=287.5 yd² and r=(15/2) yds, then the height will be:
287.5=7.5π√(h²+7.5²)
solving for h we get:
(287.5/7.5π)²=h²+7.5²
thus
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h²=63.1851597
 To get the slant height we use Pythagorean theorem.
c²=a²+b²
a²=h², b²=7.5²
thus
c²=h²+7.5²
c²=63.1851597+56.25
c²=119.4351597
c=10.92864~10.9 yards
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