Question

Maximize profit given constraints

Answer 1

Here's what I did:
\[P(n) = (100-n)(720+10n-80)\]
\[P(n) = 72,000 + 1000n - 8000 - 720n - 10n^{2}\]
\[P(n) = 64,000 + 280n - 10n^{2}\]
\[P \prime (n) = 280 - 20n = 0\]
\[280 = 20n\]
\[n = 14\]

How do I use the n = 14 to find monthly rent?

Answer 2

@ganeshie8 Do you know how to do this?

Answer 3

rent = 720 + 10n right ?

Answer 4

yes

Answer 5

it wouldn't take $860 though

Answer 6

looks there is a mistake in 2nd line

Answer 7

you should get 6 terms when you multiply a binomial and a trinomial

but you have only 5 terms in 2nd line... check once

Answer 8

yeah you're right. I actually had the 80n on paper but forgot to consider it on paper, and then I just totally omitted it on here >_> thanks.

The answer is (720 + 10n), n = 18 so (720 + 10(18)) = $900 monthly rent

Answer 9

looks good!