A CAT D$8$R track type dozer with universal blade $($with tilt cylinder$)$ is to be used to push a material that weighs $1500k\frac{g}{m}3$ in the bank state using a slot dozing technique. It is estimated that the material will swell $20\%,$ from the bank to loose state. This hard to cut cohesive soil is to be moved an average distance of $30\mathrm{.}5m(100$ft$)$ up a $10\%$ grade under normal visibility condition. The operator is a new hire who has poor skills. Job efficiency is estimated to be equivalent to $45mi\frac{n}{h}r.$ If the total amount of earth to be moved is $21,732Lm3,$ determine the number of dozers required to complete the work in five working days.

Note: The graph gives a maximum uncorrected production for a soil density of $1370K\frac{g}{L}m3.$