You are an engineer at SABIC working with amorphous, high molecular weight poly$(2,5-$

dimethyl phenylene oxide$)($PPO$)$ that has a $T_g=215C,$ which is too high for processing.

You suggest blending in polystyrene $($PS$,T_g=100C)$ as a plasticizer, what weight $\%$ is

necessary to achieve a target $T_g=150C?$ Is this reasonable? What might you do to lower

the amount of plasticizer needed?