Posa Hotels, Inc., has a sixth$-$night$-$free policy. Every sixth night a guest stays at the hotel is free. Because not all guests stay enough nights to earn a free stay, on average the number of free nights redeemed is $70\%$ of the maximum possible number of free nights available one obtains by dividing the total number of paid nights the hotel has had by $5.$ Rooms at Posa Hotels cost $$300$ per night.

In $20$X$1,$ Posa had a total of $100,000$ paid room$-$nights and collected a total of $$30$ million from customers. Also in $20$X$1,$ customers redeemed a total of $10,000$ free room$-$nights. Some of the room$-$nights awarded were based on customers$$ paid nights from previous years and some were based on paid nights from the current year.

Required:

Prepare journal entries to record revenue for $20$X$1$ for Posa:

a$.$ Prepare the entry to record the revenue recognized for the nights paid by customers.

b$.$Prepare the entry to record the revenue recognized for the free nights redeemed by customers.

c$.$ Calculate sales revenue for $20$x$1$

d$.$ calculate liability for free rooms for $20$x$1$