Question
Wheat production W, in megabushels, in a given year t depends on the average temperature T,...
Wheat production W, in megabushels, in a given year t depends on the average temperature T, in Celsius, and annual rainfall R, in cm. Scientists estimate that the average temperature is rising at a rate of 0.15oC per year, and rainfall is decreasing at a rate of 0.1 cm per year. Scientist also estimate that ∂ W / ∂ T = − 2 megabushels per oC and ∂ W / ∂ R = 8 megabushels per cm. Estimate the rate of change of wheat production, d W / d t in megabushels per year.
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