Posted by **Sydney** on Thursday, August 29, 2013 at 1:29pm.

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 $9 per guest and averaged 165 guests per night. The next week you charged $10 per guest and averaged 150 guests per night.

(a) Find a linear 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 $2 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.

P(p) =

Determine the entrance fee you should charge for a maximum profit.

p = $ per guest.

## Answer This Question

## Related Questions

- math - You have just opened a new nightclub, Russ' Techno Pitstop, but are ...
- Calculus - You have just opened a new nightclub, Russ' Techno Pitstop, but are ...
- Algebra - You have just opened a new nightclub, Russ' Techno Pitstop, but are ...
- Pre Algebra - Suppose you have an after school baby sitting service. You charge ...
- Economics - Two-Part Tariff Problem Suppose that each of a firm’s customers has ...
- Honors Algebra - Hi, I need some help with my Algebra. This is how it goes: Yet ...
- rental charges - A rent-a-car charged a fixed daily rate plus a fixed amount per...
- Math - John has two part time jobs. He works no more than 40 hours per week. He ...
- math - We are planning a reception for our daughter. The hall that we are ...
- math - Mack’s hourly wage is raised from $12.10 per hour to $13.35 per hour. He ...

More Related Questions