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order

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.

  • one year ago
  • one year ago

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  1. order
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    @FoolForMath

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

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

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

    • one year ago
  5. order
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    @peachpi

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

    • one year ago
  7. peachpi
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    oh and your numbers are right

    • one year ago
  8. peachpi
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    dumb mental error on my part

    • one year ago
  9. order
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    thanks for all your help

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

    • one year ago
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