Results 1 to 1 of 1

Thread: # of tables needed in a restaurant...

  1. #1
    Nov 2012

    # of tables needed in a restaurant...


    Here is the problem statement:

    On an average 5 families visit a restaurant every hour and each family takes exactly an hour to finish eating. How many tables should the restaurant management make available, if the prob of a family waiting for a table is not to exceed 0.2. (Other info: total N families in city and the probability of each family visiting the restaurant at any given time is 'p')

    There is no mention of an exponential rate of arrival, so not sure how to tackle this problem.
    Mean = 5 = Np
    Let the no of tables be C. One approach would be to calculate the probability of more than C families arriving at the restaurant in one hour:

    $\displaystyle &P(x > C) = 1 - P(x \le C) = 0.2 \\ &P(x \le C) = binocdf(N,p,C) = 0.8 $

    Not sure where I am going with it and how to figure out C... any help is appreciated.

    Last edited by ronbeck; Feb 13th 2013 at 02:01 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Optimal rotation of diners at a restaurant table
    Posted in the Math Puzzles Forum
    Replies: 0
    Last Post: Feb 28th 2010, 03:16 PM
  2. Diner rotation on rectangular restaurant tables
    Posted in the Math Topics Forum
    Replies: 0
    Last Post: Feb 28th 2010, 01:47 PM
  3. integral tables
    Posted in the Calculus Forum
    Replies: 6
    Last Post: Dec 14th 2009, 01:47 AM
  4. Replies: 1
    Last Post: Oct 13th 2008, 05:14 PM
  5. Truth Tables
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: Feb 11th 2008, 01:30 PM

Search Tags

/mathhelpforum @mathhelpforum