the original utilize 2.5% of the available materials ,For this problem ,the objective function is:

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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Q-1)A glass melting furnaces feed auto plumping machines for producing
the electric lamp casing (balloon),there are two main kinds can be
produced, the original and the big one, they must produce at least 25
million of the original but not accede over 35 million ,and they must
produce 3 million of the big one, however the ratio of the original must be
at least 5 times to the big one which make a profit double the original,
producing million of the big one utilize 5% Of the available materials but
the original utilize 2.5% of the available materials ,For this problem ,the
objective function is:
Max Z =0.5X1+2X2
O MIN Z =2X1+X2
O Max Z =2X1+2X2
O Max Z =2X1+X2
Transcribed Image Text:Q-1)A glass melting furnaces feed auto plumping machines for producing the electric lamp casing (balloon),there are two main kinds can be produced, the original and the big one, they must produce at least 25 million of the original but not accede over 35 million ,and they must produce 3 million of the big one, however the ratio of the original must be at least 5 times to the big one which make a profit double the original, producing million of the big one utilize 5% Of the available materials but the original utilize 2.5% of the available materials ,For this problem ,the objective function is: Max Z =0.5X1+2X2 O MIN Z =2X1+X2 O Max Z =2X1+2X2 O Max Z =2X1+X2
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