Nightclub Management You have just opened a new nightclub Russ Techno Pitstop but are unsure of how high to set the cover charge entrance fee One week you charged 5 per guest and averaged 300 guests per night The next week you charged 6 per guest and averaged 290 guests per night a Find a Jinear demand equation showing the number of guests q per night as a function of the cover charge p q p b Find the nightly revenue R as a function of the cover charge p R P c The club will provide two free non alcoholic drinks for each guest costing the club 3 per head In addition the nightly overheads rent salaries dancers DJ etc amount to 1 000 Find the cost C as a function of the cover charge p C p d Now find the profit in terms of the cover charge p TICE ANOTHER P p Determine the entrance fee you should charge for a maximum profit in dollars p per guest