Question #$4(4$ pts$.)$:

A Modified Proctor compaction test was conducted on the soil, with the results shown below. The weight and volume of the mold used in the test were $4\mathrm{.}40lb$ and $\frac{1}{30}f{t}^3,$ respectively, and the mass of the can was $45$ grams. Based on the results:

a$)$ Plot the Proctor curve for the borrow soil. $(2$ pts$.)$

b$)$ Determine the optimum water content and maximum dry unit weight for the borrow soil. $(1$ pt$.)$

c$)$ If we can compact to $95\%$ of maximum, determine what moisture content the soil would need in order to match the unit weight required for the soil in Question #$3,$ and if it is in the optimum range based on the Proctor test. $(1$ pt$.)$

$\backslash$table$[[$weight of wet soil and mold $($lb$),$mass of can and wet soil $($g$),$mass of can and dry soil $($g$)],[9\mathrm{.}19,129\mathrm{.}17,120\mathrm{.}22],[9\mathrm{.}08,109\mathrm{.}66,101\mathrm{.}31],[8\mathrm{.}99,119\mathrm{.}55,114\mathrm{.}30],[8\mathrm{.}85,109\mathrm{.}03,104\mathrm{.}90],[9\mathrm{.}15,126\mathrm{.}92,119\mathrm{.}44]]$