$3$ Plots needed! Calculate the free energy of mixing $(\backslash$Delta $($F$\_($mix$))/($k$\_($B$)))$ for a polymer blend of SPB$/$dSPB where N$\_($A$)=$ N$\_($B$)=2,000$ at $305$K$,350$K $,$ and $400$K $.$ Assume A$=-9\mathrm{.}2\backslash$times $10^(-4),$B$=0\mathrm{.}722,$C$=0$ and these values apply in the range T$=30-130$C $.$ Include the $\backslash$chi vs$$and Tvs$$plots with the binodal line as a solid line while the spinodal as a dashed line Properly label the unstable spinodal, metastable, and stable regions regions. Also, find $\_($c$^(\text{'}))\backslash$chi $\_($C$^(\text{'}))$ and T$\_($c$).$ Pick the correct y $-$axis ranges to show the data properly; otherwise, points will be taken.