$(25$ points$)$ You work for a shower stall manufacturer that uses polyester resin in their

composite material to make the shower stall. The company has been plagued with shower stall

failures during installation. You attribute these failures to rough handling, and you find that the

polyester resin formulation used contains only unsaturated diacids $-$ making the material very

brittle. In order to obtain a tougher polyester resin, you decide to try replacing $25wt\%($weight

percent$)$ of the unsaturated diacids with adipic acid.

The current formulation has the following mix ratio:

$35wt\%$ PEST $($TP$)$

$60wt\%RD($styrene$)$

$4\mathrm{.}8wt\%$ initiator $($MEKP$)$

$0\mathrm{.}2wt\%$ inhibitor $($HQ$)$

The ingredients have the following equivalent weights:

Current PEST: $125\frac{g}{m}ol$

Adipic acid: $73\frac{g}{m}ol$

Styrene: $104\frac{g}{m}ol$

For the first trial you also decide to keep the PEST $($TP$)-$to$-$RD stoichiometric ratio consistent

and the weight percentages of MEKP and HQ the same $($at $4\mathrm{.}8wt\%$ and $0\mathrm{.}2wt\%,$ respectively$).$

What is the new mix ratio $($in $wt\%$ as shown above for the current formulation$)?$