The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 30 + 0.006p3 and that its demand function is D(p) = 150 - 0.12p2, where p is the price. Determine the price for which the supply equals the demand.

Question

anonymous · Answer

like this? 
$$30 + 0.006p^3=150 - 0.12p^2$$

anonymous · Answer

@satellite73 Yeah i tried it but when i factored i got p=119980

anonymous · Answer

@satellite73 i think the number is too big..and it not the onthe the options

anonymous · Answer

yeah it is way too big

anonymous · Answer

i have no idea how to solve it because it is a cubic equation i think you need some technology http://www.wolframalpha.com/input/?i=30+%2B+0.006p^3%3D150+-+0.12p^2

anonymous · Answer

you could start with 
$$30000+6p^3=150,000-120p^2$$

anonymous · Answer

it doesn't factor easily though, so i am not sure what you tried