Architectural Designs

Algebra 2 Linear Programming?

1) A builder has 60 lots on which she can build houses with one house on each lot. She builds two types of houses, colonial and ranch. Sales experience 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? 2) A farmer has 90 acres on which he may raise peanuts and corn. He has accepted orders requiring at least 10 acres of peanuts and 5 acres of corn. He also must follow a regulation that the acreage for corn must be at least twice the acreage for peanuts. If the profit is $100 per acre of corn and $200 per acre of peanuts, how many acres of each will give him the greatest profit?

Public Comments

1. 1) Max = 5000*C + 4500*R C+R <=60 C <= 3*R 2) Max = 100* C + 200 * P C+P <=90 P <=2*C P >=10 C >=5