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September 20, 2014

September 20, 2014

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

(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.

- Calculus -
**Steve**, Thursday, August 29, 2013 at 1:48pmthis is just algebra, which you presumably know by now.

(a) q(p) = -15(p-9)+165 = -15p + 300

(b) R(p) = p*q = -15p^2 + 300p

(c) C(p) = 2q+1000 = 2(-15p+300)+1000 = 1600-30p

(d) P(p) = R(p)-C(p) = ...

- Calculus -
**Sydney**, Friday, August 30, 2013 at 2:19pmThanks!!

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