Question

Your sister is getting married this summer and she asked you to help her select a D.J. for the big event. You called around and found that Dave the D.J. charges a $150.00 set-up fee, plus $10.50 per hour. You discover Marvin’s Mobile Music Machine has a $135.00 set-up fee, plus $15.00 per hour.
Which D.J. will you recommend to your sister? Be sure to clearly support your recommendation mathematically.

Answer 1

It depends on how long the wedding is. Marvin has a $15 lower flat fee but a $4.50 more expensive hourly fee. Therefore, if the wedding is longer than 15/4.50=3.33 hours, it would make more sense to go with Dave. If the wedding is shorter than 3.33 hours, it makes more sense to go with Marvin.