A small construction firm specializes in building and selling single-family homes. The firm offers two basic types of houses, model A and model B. Model A houses require 4000 labor hours, 2 tons of stone and 2000 board feet of lumber. Model B houses require 10000 hours of labor, 3 tons of stone and 2000 board feet of lumber. The firm has currently 400000 hours of labor, 150 tons of stone and 200000 board feet of lumber. Model A yields $1000 profit and model B yields $2000 profit.Assume that the firm is able to sell all units it can build. What mix of Model A and Model B units should the firm construct to maximize the profit?
