A company has 2 mines: mine A produces 1 ton of coal daily of high quality anthracite, 2 tons of medium quality coal and 4 tons of low quality coal; Mine B produces 2 tons of each of the three classes. This company needs 70 tons of high quality coal, 130 of medium quality and 150 low quality. The daily expenses of mine A amount to CU500 and those of mine B at 750 u.m. How many days will they have to work in each mine so that the cost function is minimum? Formulate the Programming Model Linear and solve it with the Graphical Method and the Tabular Simplex Method. Has to show the step by step of its development and conclude with the context of the problem.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A company has 2 mines: mine A produces 1 ton of coal daily
of high quality anthracite, 2 tons of medium quality coal and 4 tons
of low quality coal; Mine B produces 2 tons of each of the three
classes. This company needs 70 tons of high quality coal, 130 of
medium quality and 150 low quality. The daily expenses of mine A amount to
CU500 and those of mine B at 750 u.m. How many days will they have to work in each
mine so that the cost function is minimum? Formulate the Programming Model
Linear and solve it with the Graphical Method and the Tabular Simplex Method. Has to
show the step by step of its development and conclude with the context of the problem.
You can do it manually and/or use any Software to resolve it.

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