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.

Answer 1

To obtain a fast solution for this problem

I will graph both functions and find the points of intersection.

Looking at both graphs, we can see that the point of intersection is
(21.859,92.664)

The price for which the supply equals the demand is 21.859