A soil sample has the following properties: Dr $=47\%$ and Gs $=2\mathrm{.}65.$ The same soil has

maximum and minimum void ratios as follows: emax $=0\mathrm{.}95$ and emin $=0\mathrm{.}38.$

Find the dry and saturated $($S $=100\%)$ unit weights of the soil $($at Dr $=47\%)$ in pounds per

cubic feet. In addition, find the minimum and maximum dry unit weights for the soil.

Note: When finding the minimum and maximum dry unit weights do not use the void ratio

of the soil at Dr $=47\%.$