Architectural Designs

Linear programming problem...?

There are a total of 60 acres available for building houses. I know from experience that I should plan on building atleast three times as many ranch-style as colonial. I can make a profit of $5000.00 on each colonial and $4500.00 on each ranch. I need your help in deciding exactly how many of each I should build to maximize my profit. What would the constraints be? The Vertices? How would i scale my graph?

Public Comments

1. Constraints: r + c ≤ 60 r ≥ 3c r ≥ 0 c ≥ 0 Objective: f(c, r) = 5000c + 4500r Vertices: (0,0), (0,60), (15,45) Maximum f = f(15, 45) = $277,500 ---------- You only need the first quadrant to graph. Scale c(0 : 70), r(0 : 70) should be OK.