i know how to solve these problems but i dont know how to set up the inequalities

please help me in this problem

A builder has 60 lots on which she can build houses with one house on each lot. She builds 2 types of houses, colonial and ranch. Sales experiencing has taught her that she should plan to build at least 3 times as many ranch style houses as colonial. If she makes a profit of $5000 on each colonial and $4500 on each ranch, how many of each kind should she build to maximize profit?

## How To Solve Linear Programming Word Problems?

February 5th, 2013 admin

Let y= number of ranch and x= number of colonial:

X>=0 and y>=0

A builder has 60 lots on which she can build houses with one house on each lot.

X+ y< =60 she should plan to build at least 3 times as many ranch style houses as colonial. Y>= 3x

If she makes a profit of $5000 on each colonial and $4500 on each ranch, how many of each kind should she build to maximize profit?

P= 5000X+ 4500y

——-

The vertices are (0,0) , (0, 60) ,(15,45)

Plug these in to find the largest P:

I hope this helps!