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 100 profito or unit ond Modol D $6 000 por unit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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.
Transcribed Image Text: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.
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