Answered: Producing a Ton of Steel Steel 1 Steel…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter3: Introduction To Linear Programming

Section3.9: Production Process Models

Problem 2P

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Question

Steelco manufactures two types of steel at three different steel mills. During a given month, each steel mill has 200 hours of blast furnace time available. Because of differences in the furnaces at each mill, the time and cost to produce a ton of steel differs for each mill. The time and cost for each mill are shown in the table below. Each month, Steelco must manufacture at least 500 tons of steel 1 and 600 tons of steel 2. Formulate an LP to minimize the cost of manufacturing the desired steel.

Producing a Ton of Steel
Steel 1
Steel 2
Time
Time
Mill
Cost
(Minutes)
Cost
(Minutes)
1
$10
20
$11
22
2
$12
24
$ 9
18
3
$14
28
$10
30

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