A book publisher initially prices both hardback books and paperback books at $$50$ a book and sells $9)$ the same number of haribacks and paperbacks $(180$ each$).$ The hardback book comes out first, followed by the Paperback Bach book costs $59$ to produce.

When the publisher fincreases the price for hardbacks to $$55\mathrm{.}00,$ quantity sold decreases to $171$ and when the pubitisher decreases the price for paperbacks to $$45\mathrm{.}00,$ quantity sold increases to $216.$

Prica discimination $q,($increases$/$decreases$)$ the publisher's profit by $q,$ Please round your final answer to two decimal places.

A$)$ increases, $$38200$

C$)$ decerases, $5326200$