the gulf coast foundry is developing a long range strategic plan for buying scarp metal for its foundry oprations the foundry can buy scrap metal in unlimited quantities from two sources, Atlanta(A) and Birmingham (B), and it receives the scrap daily in railroad cars. the scrap is melted down, and lead lead and copper are extracted for use in the foundry processes each railroad car of scrap from source A yields 1 ton of copper and 1 ton of lead and cost $10,000. each railroad car of scrap from source B yields 1 ton of copper and 2 tons of lead and costs $15,000, if the foundry needs at least 2 and a half tons of copper and at least 4 tons of lead per day for the foreseeable future, how many railroad cars of scrap should be ( purchased per day from source A and source B to minimize the long range scrap metal cost?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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the gulf coast foundry is developing a long range strategic plan for buying scarp metal for its foundry oprations the foundry can buy scrap metal in unlimited quantities from two sources, Atlanta(A) and Birmingham (B), and it receives the scrap daily in railroad cars. the scrap is melted down, and lead lead and copper are extracted for use in the foundry processes each railroad car of scrap from source A yields 1 ton of copper and 1 ton of lead and cost $10,000.

each railroad car of scrap from source B yields 1 ton of copper and 2 tons of lead and costs $15,000, if the foundry needs at least 2 and a half tons of copper and at least 4 tons of lead per day for the foreseeable future, how many railroad cars of scrap should be ( purchased per day from source A and source B to minimize the long range scrap metal cost?

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