Problem $25(5$ points$)$

CATS want to improve Blue Line light rail system by increasing the peak$-$hour seating by $21\%$ and also by changing the fare to achieve full utilization of capacity. The existing capacity is $2,100$ seats$/$hour at $$\frac{1\mathrm{.}00}{?}$ seat, and the price elasticity is $-0\mathrm{.}21.$ What would be the new fare? Would the transit authority gain from this action? $(3$ points$)$