oJo Jeans makes two kinds of jeans, designer and straight$-$leg. The demand for designer jeans $($x$1)$ and straight$-$leg jeans $($x$2)$ are defined by the demand relations:

x$1=150024\mathrm{.}6$p$1$ and x$2=270063\mathrm{.}8$p$2,$ where p$1$ and p$2$ represent the price of each jean type.

The cost of producing designer jeans is $$12$ per pair, and the cost of producing straight$-$leg is $$9$ per pair.