SOLUTION: hi was wondering if i could get some help with this question please and thank you. Brook Winfield operates a snowmobile lodge. Last year it had 95 guests, each of which paid $16

Question 104460: hi was wondering if i could get some help with this question please and thank you.
Brook Winfield operates a snowmobile lodge. Last year it had 95 guests, each of which paid $160 per night.The lodge accountant estimates that for every $1 reduction in the price five additional customers will rent a room.
a)write a function representing the revenue of the lodge.
b)what is the maximum projected revenue?
thanks again
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Last year it had 95 guests, each of which paid $160 per night.The lodge accountant estimates that for every $1 reduction in the price five additional customers will rent a room.
a)write a function representing the revenue of the lodge.
b)what is the maximum projected revenue?
---------------------
Let "x" be the amount of reduction in price per room below 160.
------------------
Revenue = price * # of guests
Revenue = (160-x)(95+5x)
R(x) = -5x^2+705x+15200
--------------
Maximum occurs when x=-b/2a = -705/(-10) = 70.5
Maximum revenue = R(70.5)
R(70.5) = -5(70.5)^2+705(70.5)+15200
R(70.5) = $40,051.25
================
Cheers,
Stan H.
RELATED QUESTIONS
Hi, I am wondering if I could get some help with this question?? Solve for r r^2 +... (answered by solver91311)

Hi there, I was just wondering if i could please have some help with answering a tafe... (answered by Boreal)

Hi. I was wondering if you could help me with this question. How can I graph the... (answered by solver91311)

Hi there, I was wondering if I could get help with this calculus question: compare and (answered by user_dude2008)

Hi there! Well I was wondering if I could please get some help finding the center and... (answered by MathLover1)

Hi, I was wondering if you could help me with this problem. {{{ sqrt(5ab) *... (answered by junior403)

Hi! I was wondering, I know this may be kind of elementary and seem like a stupid... (answered by Nate)

Hi, I really need help with this homeowrk help question... and I was wondering if you can (answered by stanbon)

My name is Marium and i'm working on homework i was wondering if i could get some help.... (answered by ankor@dixie-net.com,palanisamy)