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.

Question

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.

anonymous · Answer

@FoolForMath

anonymous · Answer

Profit = Income - Costs, or P(x) = I(x) - C(x)

anonymous · Answer

I'm guessing there's a typos somewhere b/c the numbers don't work out

anonymous · Answer

mmmm there's no typo... and not entirely sure how to apply this question to that formula.

anonymous · Answer

@peachpi

anonymous · Answer

P(x) = I(x) - C(x)
= (150x−0.6x²) - (2600 + 0.4x^2)

anonymous · Answer

oh and your numbers are right

anonymous · Answer

dumb mental error on my part

anonymous · Answer

thanks for all your help

anonymous · Answer

profit=selling price-cost price
so,
selling price is 150x-0.6x^2
cost price is 2600 + 0.4x^2