A CAT $824$C with a straight blade is to be used to push a material that weighs $125$ pcf in the bank state. It is estimated that the material will swell $20\%,$ from the bank to loose state. This cohesive soil is to be moved an average distance of $100$ ft up a $12\%$ grade. The operator is a new hire who has poor skills. Job efficiency is estimated to be equivalent to a $45-$ min hour. Assume that the dozer will have a $0\mathrm{.}36$ coefficient of traction. Calculate the direct cost of the proposed earthmoving operation in dollars per bcy$.$ The $0$&$0$ cost for the dozer is $$47\mathrm{.}30$ per hour and the operator's wage is $$8\mathrm{.}76$ per hour plus $34\%$ for fringes.