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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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
Transcribed Image Text: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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