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order

  • 2 years ago

A small manufacturing company makes and sells x machines each month. The monthly cost C, in dollars, of making x machines is given by C (x) = 2600 + 0.4x^2 . The monthly income I, in dollars, obtained by selling x machines is given by I(x)=150x−0.6x^2 . (a) Show that the companyís monthly profit can be calculated using the quadratic function P(x)=−x^2 +150x−2600.

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  1. order
    • 2 years ago
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    @FoolForMath

  2. peachpi
    • 2 years ago
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    Profit = Income - Costs, or P(x) = I(x) - C(x)

  3. peachpi
    • 2 years ago
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    I'm guessing there's a typos somewhere b/c the numbers don't work out

  4. order
    • 2 years ago
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    mmmm there's no typo... and not entirely sure how to apply this question to that formula.

  5. order
    • 2 years ago
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    @peachpi

  6. peachpi
    • 2 years ago
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    P(x) = I(x) - C(x) = (150x−0.6x²) - (2600 + 0.4x^2)

  7. peachpi
    • 2 years ago
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    oh and your numbers are right

  8. peachpi
    • 2 years ago
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    dumb mental error on my part

  9. order
    • 2 years ago
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    thanks for all your help

  10. arch1
    • 2 years ago
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    profit=selling price-cost price so, selling price is 150x-0.6x^2 cost price is 2600 + 0.4x^2

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