Realllyyy need help with this question...
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

Realllyyy need help with this question... 
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.

anonymous · Answer

$$S_{p}=30 + 0.006p^{3}$$
$$D_p=150 - 0.12p^2$$

to find p when Supply equals demand, set Supply equal to demand:
$$S_p=D_p$$
$$30 + 0.006p^{3}=150 - 0.12p^2$$

now you have one equation with one variable, solve p for the solution