Problem

A factory generates air pollution each day according to the formula P(S, T) = 330S2...

A factory generates air pollution each day according to the formula

P(S, T) = 330S2/3T 4/5,

where S denotes the number of machine stations in operation and T denotes the average daily temperature. At the moment, 75 stations are in regular use and the average daily temperature is 15oC. If the average temperature is rising at the rate of 0.2oC/day and the number of stations being used is falling at a rate of 2 per month, at what rate is the amount of pollution changing? (Note: Assume that there are 24 workdays per month.)

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