If the price of a commodity is directly proportional to \(m^3\) and inversely proportional to \(q^2,\) which of the following values of \(m\) and \(q\) will result in the highest price for the commodity?
A. \(m=3, q=2\)
B. \(m=12, q=12\)
C. \(m=20, q=20\)
D. \(m=30, q=36\)
E. \(m=36, q=72\)
Answer: D
Source: Manhattan GMAT