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
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.