Architectural Designs

Linear programming question? Please help!?

You are working for a builder who has 60 lots on which to build houses with one house on each lot. Your company would like to build two types of houses, colonial and ranch. Sales experiece has taught you that you should plan to build at least 3 times as many ranch style houses as colonail. If you make a profit of 5000 on each colonial and 4500 on each ranch, how many of each kind should you build to mazimize profit? Here is the objective function::::Profit=5000X + 4500Y I'm supposed to list the constraints Thanks!!!

Public Comments

1. Let X = Number Of Colonial Houses To Build Let Y = Number Of Ranch Houses To Build Maximize Z = 500X + 4500Y X + Y <= 60 3X - Y <= 0 X>=0, Y>=0