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

- lynda.boyce

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- 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

I'll tag some users who may be able to help you :)
@pooja195 @Hayleymeyer @mathmate @Mr_Perfection_xD

- lynda.boyce

Thank you very much

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## More answers

- horsegirl27

@casdawson @butterflydreamer @mathstudent55

- anonymous

Math it up, bruh!

- lynda.boyce

I am not math smart. I so need help. I can sort of understand algebra but calculus is kicking my bum.

- anonymous

I love calc! Let me see what I can do, mate!

- lynda.boyce

thank you so much

- anonymous

So what exactly do you need?

- 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

thats some very cool latex @horsegirl27 !

- horsegirl27

Thank you @ganeshie8!! @Whitemonsterbunny17 helped with it!!!

- ganeshie8

very pretty :D
@lynda.boyce
is it like this
\[\large c(x)=\dfrac{mx}{50-0.5x} \]

- 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

could you please post the complete question
if psble take a screenshot and attach

- lynda.boyce

##### 1 Attachment

- ganeshie8

So you're fixing \(M=100\) for part \(b\) is it

- lynda.boyce

yes

- lynda.boyce

but b says to pick a number between 20 and 120

- ganeshie8

Oops sorry you're correct.

- ganeshie8

you're working part \(c\) now ?

- lynda.boyce

trying to understand it and work it, yes

- ganeshie8

Look at the graph of C(x) once
|dw:1434118083621:dw|

- ganeshie8

Do you know what \(\large \lim\limits_{x\to100^{\color{red}{-}}}C(x)\) means ?

- lynda.boyce

not really. I am very math stupid. it took me forever to understand algebra to pass it

- ganeshie8

Suppose you're walking on that red line from left hand side of x=100 :
|dw:1434118287009:dw|

- lynda.boyce

ok

- 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

yes

- ganeshie8

that means it is very Costly to seize all the illegal version

- lynda.boyce

Going up each percentage, means the cost goes up also

- ganeshie8

since the cost is increasing without any bounds, we say the cost approaches "infinity" as the percentage approaches 100

- ganeshie8

mathematically we express it as :
\[\large \lim\limits_{x\to100^{\color{red}{-}}}C(x) = \color{red}{\infty}\]

- lynda.boyce

so basically, with the infinity, the cost will continue to rise

- ganeshie8

what exactly do you mean by "with the infinity"

- 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

Notice that you can never get to seize 100% because it takes "infinite" cost

- lynda.boyce

so the 100% is always out of reach

- ganeshie8

Yes, from the graph it is clear that as you seize closer to 100%, the cost shoots up insanely

- lynda.boyce

I understand that now. thank you very much

- ganeshie8

np :)
btw you seem to be having very good knowledge in algebra

- 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

it might be the case that others are not seeing the things you're seeing ;p

- lynda.boyce

lol, very true

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