The Milton Lumber Company sells boards of various lengths (3-foot, 8-foot, and 10-foot wood boards). This company's customers demand 50 3-foot boards, 15 8-foot boards, and 70 10-foot boards per week. Milton Lumber cuts up boards 14 feet in length to meet this demand and wants to determine how to satisfy its customers' demands with a minimal amount of waste. Assume that all boards share the same width and thickness. Formulate and solve an IP model. a) Define the decision variables. b) Define the objective function. c) Define the constraints.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 17P
icon
Related questions
Question
The Milton Lumber Company sells boards of various lengths (3-foot, 8-foot, and 10-foot wood boards).
This company's customers demand 50 3-foot boards, 15 8-foot boards, and 70 10-foot boards per week.
Milton Lumber cuts up boards 14 feet in length to meet this demand and wants to determine how to satisfy
its customers' demands with a minimal amount of waste. Assume that all boards share the same width and
thickness. Formulate and solve an IP model.
a) Define the decision variables.
b) Define the objective function.
c) Define the constraints.
Transcribed Image Text:The Milton Lumber Company sells boards of various lengths (3-foot, 8-foot, and 10-foot wood boards). This company's customers demand 50 3-foot boards, 15 8-foot boards, and 70 10-foot boards per week. Milton Lumber cuts up boards 14 feet in length to meet this demand and wants to determine how to satisfy its customers' demands with a minimal amount of waste. Assume that all boards share the same width and thickness. Formulate and solve an IP model. a) Define the decision variables. b) Define the objective function. c) Define the constraints.
Expert Solution
steps

Step by step

Solved in 4 steps with 10 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,