1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Multivariable Function

  1. May 7, 2010 #1
    A hall charges $30 per person for a sports banquet. For every group of over 50, the hall will decrease the price by $10 per person, in excess of 50 people.

    a. Write revenue as a multivariable function of the number of people, q, in excess of 50 and the price per person, p.

    b.Write a constraint equation for the price in terms of the number of people in excess of 50

    c.Maximize the revenue under the contstraint using the method of Lagrange Multipliers.

    I just cant figure out b and c.. can anyone lend some help? As far as #A I have found that Revenue = 1700-10q and that when q=85 revenue is maximized.
  2. jcsd
  3. May 7, 2010 #2


    Staff: Mentor

    Part a asks for the revenue as a function of q and p, R(q, p). What did you get as that function?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook