$($Modified from Das $8^{th}$ Ed$.$ P$6\mathrm{.}5)$ The results of a standard Proctor test are given in the following table.

$($i$)$ Plot the compaction curve $($dry unit weight against moisture content$)$ based on the above standard

Proctor test results. Given the mold volume $=943\mathrm{.}3c{m}^3.$

$($ii$)$ Plot the zero$-$air$-$void curve on the same graph of $($i$).$ Given: $G_s=2\mathrm{.}70.$

Recall: ${}_d=G_s\frac{{}_w}{1+(G_s\frac{}{S})}$

$($iii$)$ Determine the maximum dry unit weight of compaction and the optimum moisture content.

$($iv$)$ If the specification calls for $95\%$ relative compaction in the field, what would be the field dry

density and the range of acceptable moisture content?