A factory consisting of $6$ areas and the raw processing time of every area. Area $1$ receives $3$ lots$/$hour$.$ After being processed in Area $1,40\%$ of all lots are processed in Area $2$ and $3,$ and $60\%$ of all lots are processed in Area $4$ and $5.$ Finally all lots are processed in Area $6.$ Consider the factory in steady state and calculate the throughput of Area $2$ and $4$ and the utilisation for all $6$ areas. The throughput rates for Areas $2$ and $4$ follow directly from the given probability data: $02=0\mathrm{.}4-11=0\mathrm{.}43=1\mathrm{.}2$ lots$/$hour $01=0\mathrm{.}611=0\mathrm{.}6-3=1\mathrm{.}8$ lots$/$hour Area to $[$hrs$]10\mathrm{.}220\mathrm{.}630\mathrm{.}4450\mathrm{.}30\mathrm{.}460\mathrm{.}3$