8.- A small construction company specializes in the construction and sale of family homes. The firm...

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8.- A small construction company specializes in the construction and sale of family homes. The firm offers two basic types of houses, model A and model B. Model A houses require 4,000-man hours, 2 tons of stone, and 2,000 board feet of lumber. Model B houses require 10,000 hours of work, 3 tons of stone, and 2,000 board feet of lumber. Due to long lead times for ordering supplies and a shortage of skilled and semi- skilled workers in the area, the company will be forced to rely on its own resources on the next construction season. It has 400,000 hours of work, 150 tons of stone and 200,000 boards of lumber. What is the combination of Model A and Model B, that the firm should build if Model A has profits of $3,000 per unit and Model B $6,000 per unit? a) Formulate the objective function and the restrictions. 8.- A small construction company specializes in the construction and sale of family homes. The firm offers two basic types of houses, model A and model B. Model A houses require 4,000-man hours, 2 tons of stone, and 2,000 board feet of lumber. Model B houses require 10,000 hours of work, 3 tons of stone, and 2,000 board feet of lumber. Due to long lead times for ordering supplies and a shortage of skilled and semi- skilled workers in the area, the company will be forced to rely on its own resources on the next construction season. It has 400,000 hours of work, 150 tons of stone and 200,000 boards of lumber. What is the combination of Model A and Model B, that the firm should build if Model A has profits of $3,000 per unit and Model B $6,000 per unit? a) Formulate the objective function and the restrictions.