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toxicsugar22

  • 5 years ago

A computer store sells approximately 300 of its most popular model per year. The manager would like to minimize her annual inventory cost by ordering the optimal numbers of computers, x, at regular intervals. If she orders x computers in each shipment, the cost of storage willl be 6x dollers, and the cost of reording will be 300/x (15x+10) dollers. The inventory cost is the sum of the storage cost and the reording cost. use the distributive law to simplfy the expression for the rerding cost. Then express the inventory cost C as a function of x

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  1. toxicsugar22
    • 5 years ago
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    hi dumbcow

  2. dumbcow
    • 5 years ago
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    hi

  3. toxicsugar22
    • 5 years ago
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    do any of u guys underand this question

  4. dumbcow
    • 5 years ago
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    working on it give me a minute

  5. dumbcow
    • 5 years ago
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    is x(x+15) all on denominator or just the x ?

  6. anonymous
    • 5 years ago
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    the simplified version of ur question is 30x^3 + 20x^2 = 300 correct me if am wrong

  7. anonymous
    • 5 years ago
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    is the cost of reording: ???

  8. anonymous
    • 5 years ago
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    \[{ 300 \over x} (15x+10)\]

  9. toxicsugar22
    • 5 years ago
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    yes math mind got it rightd

  10. anonymous
    • 5 years ago
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    isn't it equal to 6? [300/x(15x + 10) = 6\]

  11. anonymous
    • 5 years ago
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    6x that is

  12. dumbcow
    • 5 years ago
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    \[C = \frac{6(x ^{2}+50x+750)}{x}\]

  13. anonymous
    • 5 years ago
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    Then express the inventory cost C as a function of x:\[C(x) = 6x+{300 \over x}(15x+10) = 6x+{3000 \over x} + 45000\] is that right?

  14. anonymous
    • 5 years ago
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    oh

  15. dumbcow
    • 5 years ago
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    wow i misread the question, i am wrong sorry time for me to leave...haha

  16. anonymous
    • 5 years ago
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    haha. it happens .

  17. toxicsugar22
    • 5 years ago
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    yes math mind got it right

  18. toxicsugar22
    • 5 years ago
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    so it says complete this of valuses for the inventory cost for various reorder size so if x is 10 what isC how would i set that up can u show me

  19. anonymous
    • 5 years ago
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    all yu do i plug 10 for x: \[C(10)=6(10)+{3000 \over 10}+45000 = ?\]

  20. dumbcow
    • 5 years ago
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    \[C=\frac{6(x^2+750x+500)}{x} \]

  21. toxicsugar22
    • 5 years ago
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    ok i got it

  22. toxicsugar22
    • 5 years ago
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    thanks

  23. toxicsugar22
    • 5 years ago
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    How many computers should the manager order in each shipment so as to minimize the inventury cost

  24. dumbcow
    • 5 years ago
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    optimal number of computers to minimize cost is 10sqrt(5)

  25. dumbcow
    • 5 years ago
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    took derivative of C and set equal to zero and solve for x

  26. anonymous
    • 5 years ago
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    what formula are yu using cow?

  27. toxicsugar22
    • 5 years ago
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    math mind what do u think

  28. dumbcow
    • 5 years ago
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    use the quotient rule since it's a fraction

  29. toxicsugar22
    • 5 years ago
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    How many computers should the manager order in each shipment so as to minimize the inventury cost

  30. toxicsugar22
    • 5 years ago
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    well does anyone know

  31. anonymous
    • 5 years ago
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    sorry.. tv distracted me haha.. i got the same thing as cow 10sqrt{5}

  32. anonymous
    • 5 years ago
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    which is 22.36 computers

  33. toxicsugar22
    • 5 years ago
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    ok thanks and how many orders will she make during the year?

  34. toxicsugar22
    • 5 years ago
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    does anyone know this

  35. anonymous
    • 5 years ago
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    if the stores sell aprox. 300 a year and it orders 22.36 a shipment: 300/22.36 = 13.41 i think that's the answer

  36. toxicsugar22
    • 5 years ago
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    ok thanks

  37. toxicsugar22
    • 5 years ago
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    graph this equation and estimate the possible values for can u do that I graphed it and tried various nubers but it is not ight

  38. toxicsugar22
    • 5 years ago
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    can u try

  39. toxicsugar22
    • 5 years ago
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    like if u have a graphing calculator

  40. anonymous
    • 5 years ago
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    oh sorry, that i can't do :/

  41. toxicsugar22
    • 5 years ago
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    ok

  42. toxicsugar22
    • 5 years ago
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    its okay

  43. toxicsugar22
    • 5 years ago
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    do u know a website tgraph it for me

  44. toxicsugar22
    • 5 years ago
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    do u know any website that will graph it for me

  45. toxicsugar22
    • 5 years ago
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    ok thanks

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