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QUESTION

Algebra 2

hey i need help with this word problem:

How much should be charged for each of the 80 rooms in the hotel in order to maximize the profit. All rooms are occupied when the daily rate is $60 per room. Each occupied room has a $4 cost for service per day. Also, for every dollar increase in the daily $60 rate, there is a vacant room

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Robert
Robert
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****** *********

* **** * ***************

(× ********** dollar increase on ***** **** *** ******

****** equation *** ** ***** P

**** * (80-×)(60+×)-4 ******** *

**** ****** **** * *** * **** =4800+24×-×^2

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***** expression ** -

*** ** ********* this ***** ** **** *

*** ******* ******** So 2×=24 ×=

12 **

cost per ****

*** ******* profits $ *** * **** =

$72 ***** charge ***

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