Each customer segment has a minimum requirement: at least $20$ rooms should be allocated

to business travelers, $30$ rooms to tourists, and $50$ rooms to event attendees to maintain

relationships and ensure future bookings.

$$ The hotel has agreements with event organizers that require it to reserve at least one$-$third

of available rooms for event attendees when there are events in the city.

$$ The hotel's market analysis suggests that having more than $60$ rooms for business travelers

can negatively impact the hotel's reputation among leisure travelers due to the busy and

crowded atmosphere.

$$ The hotel has a loyalty program that guarantees room availability for members. The

program dictates that $10\%$ of rooms must be available for loyalty program members.