anonymous
  • anonymous
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.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
@FoolForMath
anonymous
  • anonymous
Profit = Income - Costs, or P(x) = I(x) - C(x)
anonymous
  • anonymous
I'm guessing there's a typos somewhere b/c the numbers don't work out

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anonymous
  • anonymous
mmmm there's no typo... and not entirely sure how to apply this question to that formula.
anonymous
  • anonymous
@peachpi
anonymous
  • anonymous
P(x) = I(x) - C(x) = (150x−0.6x²) - (2600 + 0.4x^2)
anonymous
  • anonymous
oh and your numbers are right
anonymous
  • anonymous
dumb mental error on my part
anonymous
  • anonymous
thanks for all your help
anonymous
  • anonymous
profit=selling price-cost price so, selling price is 150x-0.6x^2 cost price is 2600 + 0.4x^2

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