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anonymous
 5 years ago
a professional football team has a stadium which seats 60000. it is found that x tickets can be sold at a price of p=10(x/10000) dollars per ticket. find the value of x and p at which the total money received will be a maximum.
anonymous
 5 years ago
a professional football team has a stadium which seats 60000. it is found that x tickets can be sold at a price of p=10(x/10000) dollars per ticket. find the value of x and p at which the total money received will be a maximum.

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0thats a linear equation with a positive slope....

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0errr.. a negative slope lol;

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0p = (1/100000) x + 10

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0when x = 0 you have a maximum of 10; the higher x goes, the less you make

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0or am i missing something

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't think so. There's logic in your answer ^_^

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0this might be the derivative and is asking fo ryouto integrate from 0 to 60000

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hmmm, no wait, wouldn't that be a minimum?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if 0 tickets are sold, then you gained p=10000

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0f'(x) = 0 at 10000/10 then

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh right lol, it's over (10,000) ^_^" my bad lol

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0f'(x)= 1000; integrate from 0 to 60000?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no need to integrate, from the function , you can figure out the maximum, just like you did :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x increases= less money, like you've said. so the maximum is at x = 0?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0well i am thinking that this is the derivative of a higher function; and its max value is at 1000 for x; so the integral would tell us the price right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but wouldn't wouldn't the price be found after plugging in x =0 in the function? :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if this was the true function then yes, but the wording has me believe that the optimazation is given by this equation; and not the true function...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0mmm, so we have to optimize in this case? ^_^to find the maximum

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i think so :) so we would integrate the given to find the true value; with x = 1000; becasue that is where p'(x) = 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Alright, now I got what you mean lol proceed ^_^

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the 60000 gives us an initial condition; possiply at (0,60000)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so we'll integrate from 0>6000?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0dunno if we integrate of simply anchor it in at (0,60000) p=10(x/10000)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0P(x)=10x x^2/2(10000) + C

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.010(1000)  (1000)(1000)/2(10000) 10000  500/10

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0P(1000) = 60000 = 9950 + C C = 60000  9950 = 50050 P(x) = 10(x)  x^2/20000 + 50050 ??

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0maybe integrate from 0 to 60000 :) ??? dunno

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think we have made it look more complicated than it seems, lol?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you know what I think?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0since the maximum price of tickets is achieved when x=0, then for 60000 seats, the maximum price will be = 600,000

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0maximum price = 600,000? or max revenue?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0see the wording is off...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hmm, we have :\[p(x) = 10\frac{x}{10000}\] so if we take x = 0: \[p(0) = 10\] so we can tell that the original price of the ticket is = 10. Now for 60000 seats, we need 60000 people, so each person is going to buy a ticket. In the end, maximum price achieved = 600,000 I'm not sure, but I'm just computing what I have understood from the question ^_^" ahaha...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the maximum values for x and p : x = 0, and p = 10

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i agree that that is a possible interpretation of the problem :) but maximum price is not 600,000; that would be revenue. Max price if anything would be 10 lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh, right >_< well, atleast you got what I mean =P

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.1x=50,000 p=5 maximum money = p*x = 250,000

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if x = tickets sold, then how can 0 ticket sold bring in 600,000 :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0where did you get the 50,000 and 5? ..

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.1money received is revenue which equals price*quantity quantity is num seats sold = x so the function to maximized is p*x = x(10x/10,000)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0annnnnnwaaaar~ lol ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but the number of seats = 60,000 and not 50k lol :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't know where you guys have reached. But, I think the idea here is to maximize the total money received. Total money= price of one ticket * # of tickets= xp(x).

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.160,000 available not sold

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so how did you get 50k?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i understand it now.... i think lol

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.1differentiate above function set =0 solve for x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0p = 0 and solve for x?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0whoever wrote this problem could have been clearer ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0xp(x)=f(x)=10xx^2/10,000 f'(x)=102x/10,000=0 implies x=50,000

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh well, clear or not, my brain is shutdown and doesn't want to study. I had calculus II at 8 and was playing in the whole time, and got out not understanding what on Earth I took today.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and I felt good abt it. I guess it's beacuse of the bananas I ate in the morning.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh, I got you anwar, thank you ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You're welcome. Am I right there?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it's TRUE! Bananas = get you excited, and I was off ~ completely OFF

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hoenstly, I have no idea. My brain is unable to compute or accept any info atm.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but it looks right though ^_^

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i was watching the cheerleaders and got distracted lol

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.1waterlily do you get it? or do you need more help

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0my professor tried to grab my attention by trying, "TRYING" to introduce Taylor series today, but no hope, he gave up and ended the class after 1 hour =D!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I was like, I don't like taylor series, I want to learn Fourier series!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0he was like, but it's not in the syllabus and etc etc etc

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0loooooooooooong morning, it was HILARIOUS

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh, sorry waterlily ^_^" aha...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You have no more classes?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let's see, my ESPII professor, cancelled today's class at 10, so no class til 3:30 , hallalujah~!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I've got a test at that time! Heck knows what I'll during that hour. If I'm luney and off now, what will happen later on? ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think I and mr. "dumbcow" had the same answer. He was first though.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0people usually revise, take advantage of these 4 free hours, but me? nooooooo, don't feel like it ._. I guess I need a day off.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0why did he call himself dumbcow?! :D

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I find that a really funny and "creative" username :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0cows are not dumb! they just don't get english that's all

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Do you stay at university or go home during this 4 hours?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if cows are dumb for not understanding what we say, then we are dumb becase we don't understand what they say, right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0LOL. they don't get english heh? what about arabic?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I stay here, I don't want to get my mum tired.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't agree with your "cow" theorem btw :P

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0with different wavelengths ~

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hey, this is logic and I'm studying it this semester and I agree with my theorem

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0omg..I sound drunk LOL with bananas~

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let me read it again.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how can bananas get you drunk?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol. Yes, your theorem makes sense :P

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0there's this chemical compound in it, called tyro something something that get's you super duper powerful well, it usually gets ppl calm, but I don't know why it's the opposite effect on me? ._.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0see, I told you so , I told you so, I told you so~

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0omg...please, bare with me this time and you'll never see me talk like this again >_<, I apologize guys

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0never eat bananas in the morning = lesson of today

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You didn't say anything wrong!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't eat bananas at all

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't know how "drunk people" sound. So, I don't knwo if you do sound like one :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I love bananas and my professor recommened us to eat a banana every morning to calm the nerves, but it's not WORKING with me, it's not CALMING my nevers, it's getting me OFF~

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm just having one of my childish moments right now ^_^"

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0These are the best moments. Enjoy them as much as you can

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and you + mr"dumbcow" are getting a medal for soling the questionariO~

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sigh~ I just need a break

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I didn't get a weekend for 2 weeks now, and I need one

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0busy busy, quizzes, tests, quizzes, tests, studies, da da da ~

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0exactly, that's what I was thinking. I'm going to my professor now, my lab professor and I'll tell him to excuse me from tomorrow's class. I just have one lab class tomorrow morning. I'll skip it, ofcourse after telling him that, and have FUN

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that's it, one day off is all I need

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0YAAY.. I love "off" days!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The one you make by yourself are the best <3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't lol. If I don't do something or work, I go NUTS, but for the first time, I AM HAPPY ABOUT IT! LOL

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I want to do something crazy !

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'll mismatch my clothes

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0LOL.. Day off does not mean you just sleep all day long. It is just "freedom". You "DO" whatever you like

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't sleep LOL! with this energy I can't! I don't even sleep during afternoons, I go play outside, paint, smash something, read, solve, ....no solving lol ummmmmmm

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0run around the house screaming

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0jump in mud, get paint all over my face!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I can be pretty wild at times~

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0even though I sound so calm and innocent LOL, I can be devilish at times~ well.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0depends on my mood ^_^"

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I feel better letting all this out, thanks for listening to all this crap lol :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hope I didn't scare you? ._.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I am setting at the corner covered by a blanket :(

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0>_> there are spiders there

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can't believe you got scared from a girl ._.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0don't worry, I'm not telling a soul ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0girls are more Frightening than guys btw

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well, not all girls :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and let's just hope no one opens his/her group chat box ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and not all guys , lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well, I don't fear anything, but God

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0there's nothing to be afraid off as long as you know that you're protected by the almighty :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0When u do differentation u get 100000 as x for max(Y). but max x is only 60000, so, by substituting u get y=4, so total amt. p*x=240000.
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