Can someone help me set up this problem so I can work it?
Researchers have discovered that by controlling both the temperature and the relative humidity in a building, the growth of a certain fungus can be limited. The relationship between temperature and relative humidity, which limits growth, can be described by R(T) = -.00004T^3 + .307T^2 - 1.5572T + 97.086,
0 ≤ T ≤ 46, where R(T) is the relative humidity (in %) and T is the temperature (in °C). Find the temperature at which the relative humidity is minimized.
Researchers have discovered that by controlling both the temperature and the relative humidity in a building, the growth of a certain fungus can be limited. The relationship between temperature and relative humidity, which limits growth, can be described by R(T) = -.00004T^3 + .307T^2 - 1.5572T + 97.086,
0 ≤ T ≤ 46, where R(T) is the relative humidity (in %) and T is the temperature (in °C). Find the temperature at which the relative humidity is minimized.