A continuous deodorizing system, involving a counter flow steam stripping operation, is under consideration for the removal of taints from cream. The taint component is present in the cream to the extent of $13$ parts per million $(ppm)$ and is supposed to be reduced down to $0\mathrm{.}2ppm$ in the leaving cream. If the relative flow rates of cream and steam are given in the ratio $1$:$0\mathrm{.}8,$ calculate the concentration of the taint in the leaving cream. The equilibrium concentration distribution of the taint has been found experimentally to be in the ratio of $1$ in the cream to $10$ in the steam and it is assumed that equilibrium is reached in each stage. Calculate how many contact stages would be required assuming a$)100\%$ stage efficiency, and b$)70\%$ stage efficiency using both the graphial approach and the analytical equations? $($please don't forget graphical drawing $***)$