Question: The owners of a large farm have decided to begin converting the land to soybean production. The yearly soybean harvest, H, in bushels, is a product of Y, the yield per acre (bushels per acre), times A, the number of acres of soybeans planted. If Y & A as functions of t, the time in years from the beginning of the conversion are described by the equations:
Y = 100 + 10 sqrt t, A = 200+100t
Compute the rate at which H is changing when (a) t = 1 & (b) t = 4