Solve the Problem $S ( p ) = 10 + 0.002 p ^ { 3 }$

question 256

Multiple Choice

Solve the problem.
-The Cool Company determines that the supply function for its basic air conditioning unit is $S ( p ) = 10 + 0.002 p ^ { 3 }$ and that its demand function is $D ( p ) = 50 - 0.04 p ^ { 2 }$ , where $p$ is the price. Determine the price for which the supply equals the demand.

• A) \(\$ 21.36\)
• B) \(\$ 22.36\)
• C) \(\$ 21.86\)
• D) \(\$ 22.86\)