a small construction firm specialises in building and selling single-detached homes. The firm offers two basic types of houses, model A and model B. Model A houses require 4000 labor hours, 2 tons of gravel and sand and cement, and 2000 board feet of lumber. Model B houses require 10,000 labor hours, 3 tons of gravel & sand & cement and 2000 board feet of lumber. Due to long lead times for ordering supplies and the scarcity of skilled and semiskilled workers in the area, the firm will be forced to rely on its present resources for the upcoming building project. It has 400,000 hours labor, 150 tons of gravel and sand & cement, and 200,000 board feet of lumber. Formulate the objective function and constraints if per unit model A yields a profit of 55,000 and model B yields 90,000.
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