A coal slurry that is characterized as a power law fluid has a flow index of 0.4 and an apparent viscosity of $200 \mathrm{cP}$ at a shear rate of $1 \mathrm{~s}^{-1}$. If the coal has a specific gravity of 2.5 and the slurry is $50 %$ coal by weight in water, what pump horsepower will be required to transport 25 million tons of coal per year through a 36 in. ID, 1000 miles long pipeline? Assume that the entrance and exit of the pipeline are at the same pressure and elevation and that the pumps are $60 %$ efficient.