Question

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?

Answer 1

Answer

The answer and procedures of the exercise are attached three images. The maximum profit is 262.500

Explanation  

Please consider the data provided by the exercise. If you have any question please write me back. All the exercises are solved in three images.