Architectural Designs

LINEAR PROGRAMMING HELP??? PLEASE!!?

CAN ANYONE GIVE ME THE CONSTRAINTS FOR THIS PROBLEM? A builder has 60 lots on which he can build houses with one house on each lot. He builds two types of houses, colonial and ranch. Sales experience has taught him that he should plan to build at least 3 times as many ranch-style houses as colonial. If he makes a profit of $5000 on each colonial and $4500 on each ranch, how many of each kind should he build to maximize his profit? PLEASE HELP ME!!! THANKS! GIVE ME THE CONSTRAINTS NOT THE ANSWER TO THE PROBLEM! THANK YOU.

Public Comments

1. He wants to make as few ranch houses as possible since they are less profitable. That would be 45 ranch and 15 colonial since they must add to be 60.