The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 40 + 0.008p3 and that its demand function is D(p) = 200 - 0.16p2, where p is the price. Determine the price for which the supply equals the demand.

$22.36

$21.86

$21.36

$22.86

Question

The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 40 + 0.008p3 and that its demand function is D(p) = 200 - 0.16p2, where p is the price. Determine the price for which the supply equals the demand.

 $22.36

 $21.86

 $21.36

 $22.86

anonymous · Answer

ahhhhh I think is is the the 3rd one but  I am not sure

shane_b · Answer

Set both equations equal to each other and solve for p:

$$40 + 0.008p^3=200 - 0.16p^2$$
You should get $21.86

anonymous · Answer

ohh okay thamks

shane_b · Answer

np :)

anonymous · Answer

@TNNG was the answer correct? i have to do the same thing...

shane_b · Answer

The hint here is in the line: "Determine the price for which the supply equals the demand."  So set both equations equal to each other and solve for p as shown above.

anonymous · Answer

thanks :) do you think you could help me with another problem from precal, @Shane_B ?