A paper mill sells rolls of paper to newspapers, which usually place orders for rolls of different widths. They have just received a large order for 1 million feet of 4-foot-wide paper, 3 million feet of 9-foot-wide paper, and 2 million feet of 12- foot-wide paper. The mill produces rolls of the following two sizes: (1) 2,000 feet long and 12 feet wide, at a cost of $400 per roll, and (2) 2,000 feet long and 18 feet wide, at a cost of $900 per roll. Large cutting machines are used to cut these rolls to rolls of desired widths. What should the mill do to satisfy this order at minimum cost? (a) Define decision variables. (b) Write a suitable LP problem formulation.
A paper mill sells rolls of paper to newspapers, which usually place orders for rolls of different widths. They have just received a large order for 1 million feet of 4-foot-wide paper, 3 million feet of 9-foot-wide paper, and 2 million feet of 12- foot-wide paper. The mill produces rolls of the following two sizes: (1) 2,000 feet long and 12 feet wide, at a cost of $400 per roll, and (2) 2,000 feet long and 18 feet wide, at a cost of $900 per roll. Large cutting machines are used to cut these rolls to rolls of desired widths. What should the mill do to satisfy this order at minimum cost? (a) Define decision variables. (b) Write a suitable LP problem formulation.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 47P
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Question
A paper mill sells rolls of paper to newspapers, which usually place
orders for rolls of different widths. They have just received a large order for 1 million
feet of 4-foot-wide paper, 3 million feet of 9-foot-wide paper, and 2 million feet of 12-
foot-wide paper. The mill produces rolls of the following two sizes: (1) 2,000 feet long
and 12 feet wide, at a cost of $400 per roll, and (2) 2,000 feet long and 18 feet wide, at
a cost of $900 per roll. Large cutting machines are used to cut these rolls to rolls of
desired widths. What should the mill do to satisfy this order at minimum cost?
(a) Define decision variables.
(b) Write a suitable LP problem formulation.
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