If the price of a commodity is directly proportional to \(m^3\) and inversely proportional to \(q^2,\) which of the

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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