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lynda.boyce

  • one year ago

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

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  1. horsegirl27
    • one year ago
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    \(~~~~~~~~~~\LARGE\color{hotpink}{✧}\color{limegreen}{^✯}\color{blue}{_\heartsuit}\color{hotpink}{\diamondsuit}\color{limegreen}{^✧}\color{blue}{\heartsuit}\color{hotpink}{_\star}\color{limegreen}{✧}\color{blue}{^\heartsuit}\color{hotpink}{✯}\color{limegreen}{_\diamondsuit}\color{blue}{^\star}\color{hotpink}{✧}\) \(~\LARGE\cal\color{hotpink}{W}\color{limegreen}{e}\color{blue}{l}\color{hotpink}{c}\color{limegreen}{o}\color{blue}{m}\color{hotpink}{e}\color{limegreen}{~t}\color{blue}{o}\color{hotpink}{~O}\color{limegreen}{p}\color{blue}{e}\color{hotpink}{n}\color{limegreen}{S}\color{blue}{t}\color{hotpink}{u}\color{limegreen}{d}\color{blue}{y}\color{hotpink}{!}\) \(~~~~~~~~~~\LARGE\color{hotpink}{✧}\color{limegreen}{^✯}\color{blue}{_\heartsuit}\color{hotpink}{\diamondsuit}\color{limegreen}{^✧}\color{blue}{\heartsuit}\color{hotpink}{_\star}\color{limegreen}{✧}\color{blue}{^\heartsuit}\color{hotpink}{✯}\color{limegreen}{_\diamondsuit}\color{blue}{^\star}\color{hotpink}{✧}\) \(~~~~~~~~~~~~~~~~~~\Large\cal\color{hotpink}{P}\color{limegreen}{l}\color{blue}{e}\color{hotpink}{a}\color{limegreen}{s}\color{blue}{e}\color{hotpink}{~R}\color{limegreen}{e}\color{blue}{a}\color{hotpink}{d~}\color{limegreen}{t}\color{blue}{h}\color{hotpink}{e}\) \(~~~~~~~~~~~\href{https:///openstudy.com/code-of-conduct}{\Large\cal{\color{hotpink}{\bigstar~C}}\color{limegreen}{o}\color{blue}{d}\color{hotpink}{e~}\color{limegreen}{o}\color{blue}{f~}\color{hotpink}{C}\color{limegreen}{o}\color{blue}{n}\color{hotpink}{d}\color{limegreen}{u}\color{blue}{c}\color{hotpink}{t}\color{hotpink}{~\bigstar}}\) \(~~~~~~~~~~~~~~~~~~~~~~~~~~\Large\cal\color{hotpink}{A}\color{limegreen}{n}\color{blue}{d~}\color{hotpink}{t}\color{limegreen}{h}\color{blue}{e}\) \(~~\href{https:///openstudy.com/terms-and-conditions}{\Large\cal{\color{hotpink}{\bigstar~T}}\color{limegreen}{e}\color{blue}{r}\color{hotpink}{m}\color{limegreen}{s}\color{blue}{~a}\color{hotpink}{n}\color{limegreen}{d}\color{blue}{~C}\color{hotpink}{o}\color{limegreen}{n}\color{blue}{d}\color{hotpink}{i}\color{limegreen}{t}\color{blue}{i}\color{hotpink}{o}\color{limegreen}{n}\color{blue}{s}\color{hotpink}{~\bigstar}}\)

  2. horsegirl27
    • one year ago
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    I'll tag some users who may be able to help you :) @pooja195 @Hayleymeyer @mathmate @Mr_Perfection_xD

  3. lynda.boyce
    • one year ago
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    Thank you very much

  4. horsegirl27
    • one year ago
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    @casdawson @butterflydreamer @mathstudent55

  5. anonymous
    • one year ago
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    Math it up, bruh!

  6. lynda.boyce
    • one year ago
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    I am not math smart. I so need help. I can sort of understand algebra but calculus is kicking my bum.

  7. anonymous
    • one year ago
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    I love calc! Let me see what I can do, mate!

  8. lynda.boyce
    • one year ago
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    thank you so much

  9. anonymous
    • one year ago
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    So what exactly do you need?

  10. lynda.boyce
    • one year ago
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    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

  11. ganeshie8
    • one year ago
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    thats some very cool latex @horsegirl27 !

  12. horsegirl27
    • one year ago
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    Thank you @ganeshie8!! @Whitemonsterbunny17 helped with it!!!

  13. ganeshie8
    • one year ago
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    very pretty :D @lynda.boyce is it like this \[\large c(x)=\dfrac{mx}{50-0.5x} \]

  14. lynda.boyce
    • one year ago
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    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

  15. ganeshie8
    • one year ago
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    could you please post the complete question if psble take a screenshot and attach

  16. lynda.boyce
    • one year ago
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  17. ganeshie8
    • one year ago
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    So you're fixing \(M=100\) for part \(b\) is it

  18. lynda.boyce
    • one year ago
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    yes

  19. lynda.boyce
    • one year ago
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    but b says to pick a number between 20 and 120

  20. ganeshie8
    • one year ago
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    Oops sorry you're correct.

  21. ganeshie8
    • one year ago
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    you're working part \(c\) now ?

  22. lynda.boyce
    • one year ago
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    trying to understand it and work it, yes

  23. ganeshie8
    • one year ago
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    Look at the graph of C(x) once |dw:1434118083621:dw|

  24. ganeshie8
    • one year ago
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    Do you know what \(\large \lim\limits_{x\to100^{\color{red}{-}}}C(x)\) means ?

  25. lynda.boyce
    • one year ago
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    not really. I am very math stupid. it took me forever to understand algebra to pass it

  26. ganeshie8
    • one year ago
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    Suppose you're walking on that red line from left hand side of x=100 : |dw:1434118287009:dw|

  27. lynda.boyce
    • one year ago
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    ok

  28. ganeshie8
    • one year ago
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    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|

  29. lynda.boyce
    • one year ago
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    yes

  30. ganeshie8
    • one year ago
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    that means it is very Costly to seize all the illegal version

  31. lynda.boyce
    • one year ago
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    Going up each percentage, means the cost goes up also

  32. ganeshie8
    • one year ago
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    since the cost is increasing without any bounds, we say the cost approaches "infinity" as the percentage approaches 100

  33. ganeshie8
    • one year ago
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    mathematically we express it as : \[\large \lim\limits_{x\to100^{\color{red}{-}}}C(x) = \color{red}{\infty}\]

  34. lynda.boyce
    • one year ago
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    so basically, with the infinity, the cost will continue to rise

  35. ganeshie8
    • one year ago
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    what exactly do you mean by "with the infinity"

  36. lynda.boyce
    • one year ago
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    well infinity is continuous, so no matter what the price increases as the percentage does or even if you get to 100%

  37. ganeshie8
    • one year ago
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    Notice that you can never get to seize 100% because it takes "infinite" cost

  38. lynda.boyce
    • one year ago
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    so the 100% is always out of reach

  39. ganeshie8
    • one year ago
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    Yes, from the graph it is clear that as you seize closer to 100%, the cost shoots up insanely

  40. lynda.boyce
    • one year ago
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    I understand that now. thank you very much

  41. ganeshie8
    • one year ago
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    np :) btw you seem to be having very good knowledge in algebra

  42. lynda.boyce
    • one year ago
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    thank you. sometimes I don't see things as others do, so it's hard to exchange ideas. If that makes any sense....lol

  43. ganeshie8
    • one year ago
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    it might be the case that others are not seeing the things you're seeing ;p

  44. lynda.boyce
    • one year ago
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    lol, very true

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