You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week you charged $4 per guest and averaged 76 guests per night. The next week you charged 59 per guest and averaged 41 guests per night.
(a) Find a linear demand equation showing the number of guests a per night as a function of the cover charge p.
900) =
(b) Find the nightly revenue R as a function of the cover charge p.
RCD)
(c) When you set the admission to p dollars, the club's nightly costs, including rent salaries, and two free non-alcoholic drinks for each guest, amounts to
CCP) = -26 +507
Find the profit in terms of the cover charge p.
Pp) =
(d) Determine entrance fees that allow Swing Haven to break even. Enter the lower fee first, and round your answer to two decimal places
When the entrance fee is pa
or
dollars per guest, then Swing Haven breaks even
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