lynda.boyce
  • lynda.boyce
the cost, c (in millions of dollars) for a software company to seize 50% of an illegal version of a gaming software that they deloped in modeled by the following function c(x)=mx/50-0.5x the value of m is 25. Find the lim x inf-C(x). Explain briefly what this limit means in terms of the given scenario
Mathematics
chestercat
  • chestercat
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horsegirl27
  • horsegirl27
\(~~~~~~~~~~\LARGE\color{hotpink}{✧}\color{limegreen}{^✯}\color{blue}{_\heartsuit}\color{hotpink}{\diamondsuit}\color{limegreen}{^✧}\color{blue}{\heartsuit}\color{hotpink}{_\star}\color{limegreen}{✧}\color{blue}{^\heartsuit}\color{hotpink}{✯}\color{limegreen}{_\diamondsuit}\color{blue}{^\star}\color{hotpink}{✧}\) \(~\LARGE\cal\color{hotpink}{W}\color{limegreen}{e}\color{blue}{l}\color{hotpink}{c}\color{limegreen}{o}\color{blue}{m}\color{hotpink}{e}\color{limegreen}{~t}\color{blue}{o}\color{hotpink}{~O}\color{limegreen}{p}\color{blue}{e}\color{hotpink}{n}\color{limegreen}{S}\color{blue}{t}\color{hotpink}{u}\color{limegreen}{d}\color{blue}{y}\color{hotpink}{!}\) \(~~~~~~~~~~\LARGE\color{hotpink}{✧}\color{limegreen}{^✯}\color{blue}{_\heartsuit}\color{hotpink}{\diamondsuit}\color{limegreen}{^✧}\color{blue}{\heartsuit}\color{hotpink}{_\star}\color{limegreen}{✧}\color{blue}{^\heartsuit}\color{hotpink}{✯}\color{limegreen}{_\diamondsuit}\color{blue}{^\star}\color{hotpink}{✧}\) \(~~~~~~~~~~~~~~~~~~\Large\cal\color{hotpink}{P}\color{limegreen}{l}\color{blue}{e}\color{hotpink}{a}\color{limegreen}{s}\color{blue}{e}\color{hotpink}{~R}\color{limegreen}{e}\color{blue}{a}\color{hotpink}{d~}\color{limegreen}{t}\color{blue}{h}\color{hotpink}{e}\) \(~~~~~~~~~~~\href{https:///openstudy.com/code-of-conduct}{\Large\cal{\color{hotpink}{\bigstar~C}}\color{limegreen}{o}\color{blue}{d}\color{hotpink}{e~}\color{limegreen}{o}\color{blue}{f~}\color{hotpink}{C}\color{limegreen}{o}\color{blue}{n}\color{hotpink}{d}\color{limegreen}{u}\color{blue}{c}\color{hotpink}{t}\color{hotpink}{~\bigstar}}\) \(~~~~~~~~~~~~~~~~~~~~~~~~~~\Large\cal\color{hotpink}{A}\color{limegreen}{n}\color{blue}{d~}\color{hotpink}{t}\color{limegreen}{h}\color{blue}{e}\) \(~~\href{https:///openstudy.com/terms-and-conditions}{\Large\cal{\color{hotpink}{\bigstar~T}}\color{limegreen}{e}\color{blue}{r}\color{hotpink}{m}\color{limegreen}{s}\color{blue}{~a}\color{hotpink}{n}\color{limegreen}{d}\color{blue}{~C}\color{hotpink}{o}\color{limegreen}{n}\color{blue}{d}\color{hotpink}{i}\color{limegreen}{t}\color{blue}{i}\color{hotpink}{o}\color{limegreen}{n}\color{blue}{s}\color{hotpink}{~\bigstar}}\)
horsegirl27
  • horsegirl27
I'll tag some users who may be able to help you :) @pooja195 @Hayleymeyer @mathmate @Mr_Perfection_xD
lynda.boyce
  • lynda.boyce
Thank you very much

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horsegirl27
  • horsegirl27
anonymous
  • anonymous
Math it up, bruh!
lynda.boyce
  • lynda.boyce
I am not math smart. I so need help. I can sort of understand algebra but calculus is kicking my bum.
anonymous
  • anonymous
I love calc! Let me see what I can do, mate!
lynda.boyce
  • lynda.boyce
thank you so much
anonymous
  • anonymous
So what exactly do you need?
lynda.boyce
  • lynda.boyce
I'm trying to understand what this limit means in terms of the given scenario that I had asked about. The cost, C (in millions.... I found the answers to the percentage. but I just don't understand how the answer was reached
ganeshie8
  • ganeshie8
thats some very cool latex @horsegirl27 !
horsegirl27
  • horsegirl27
Thank you @ganeshie8!! @Whitemonsterbunny17 helped with it!!!
ganeshie8
  • ganeshie8
very pretty :D @lynda.boyce is it like this \[\large c(x)=\dfrac{mx}{50-0.5x} \]
lynda.boyce
  • lynda.boyce
yes. and then I had to find the cost of seizing 50%. 60%, 70%, 80% and 90% of the illegal software. I found the answers to those. they are200, 300, 466.67, 800, 1800, with M being 100
ganeshie8
  • ganeshie8
could you please post the complete question if psble take a screenshot and attach
lynda.boyce
  • lynda.boyce
1 Attachment
ganeshie8
  • ganeshie8
So you're fixing \(M=100\) for part \(b\) is it
lynda.boyce
  • lynda.boyce
yes
lynda.boyce
  • lynda.boyce
but b says to pick a number between 20 and 120
ganeshie8
  • ganeshie8
Oops sorry you're correct.
ganeshie8
  • ganeshie8
you're working part \(c\) now ?
lynda.boyce
  • lynda.boyce
trying to understand it and work it, yes
ganeshie8
  • ganeshie8
Look at the graph of C(x) once |dw:1434118083621:dw|
ganeshie8
  • ganeshie8
Do you know what \(\large \lim\limits_{x\to100^{\color{red}{-}}}C(x)\) means ?
lynda.boyce
  • lynda.boyce
not really. I am very math stupid. it took me forever to understand algebra to pass it
ganeshie8
  • ganeshie8
Suppose you're walking on that red line from left hand side of x=100 : |dw:1434118287009:dw|
lynda.boyce
  • lynda.boyce
ok
ganeshie8
  • ganeshie8
As x approaches 100 from left hand side, the graph is shooting up insanely so you will be climbing up higher and higher, yes ? |dw:1434118466475:dw|
lynda.boyce
  • lynda.boyce
yes
ganeshie8
  • ganeshie8
that means it is very Costly to seize all the illegal version
lynda.boyce
  • lynda.boyce
Going up each percentage, means the cost goes up also
ganeshie8
  • ganeshie8
since the cost is increasing without any bounds, we say the cost approaches "infinity" as the percentage approaches 100
ganeshie8
  • ganeshie8
mathematically we express it as : \[\large \lim\limits_{x\to100^{\color{red}{-}}}C(x) = \color{red}{\infty}\]
lynda.boyce
  • lynda.boyce
so basically, with the infinity, the cost will continue to rise
ganeshie8
  • ganeshie8
what exactly do you mean by "with the infinity"
lynda.boyce
  • lynda.boyce
well infinity is continuous, so no matter what the price increases as the percentage does or even if you get to 100%
ganeshie8
  • ganeshie8
Notice that you can never get to seize 100% because it takes "infinite" cost
lynda.boyce
  • lynda.boyce
so the 100% is always out of reach
ganeshie8
  • ganeshie8
Yes, from the graph it is clear that as you seize closer to 100%, the cost shoots up insanely
lynda.boyce
  • lynda.boyce
I understand that now. thank you very much
ganeshie8
  • ganeshie8
np :) btw you seem to be having very good knowledge in algebra
lynda.boyce
  • lynda.boyce
thank you. sometimes I don't see things as others do, so it's hard to exchange ideas. If that makes any sense....lol
ganeshie8
  • ganeshie8
it might be the case that others are not seeing the things you're seeing ;p
lynda.boyce
  • lynda.boyce
lol, very true

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