An Air force is experimenting with three types of bombs P, Q and R in which three kinds of explosives, A, B and C will be used. Taking the various factors in to accounts, it has been decided to use the maximum 600 Kgs of explosive A, 490 Kgs of explosive B and 560 Kgs of explosive C. Bomb P requires 3, 2, 2 Kg, Bomb Q requires 1,4,3 Kg and bomb R requires 4,2,3 Kgs of explosives A, B and C respectively. Bomb P is estimated to give the equivalent of a 3 ton explosion, Bomb Q a 3 ton explosion and Bomb Ra 4 ton explosion respectively. Under what production schedule the air force can make the biggest bang. (a). Write the Key decision, Objective function and LP for the given problem (b). Apply Simplex method to find the solution.
An Air force is experimenting with three types of bombs P, Q and R in which three kinds of explosives, A, B and C will be used. Taking the various factors in to accounts, it has been decided to use the maximum 600 Kgs of explosive A, 490 Kgs of explosive B and 560 Kgs of explosive C. Bomb P requires 3, 2, 2 Kg, Bomb Q requires 1,4,3 Kg and bomb R requires 4,2,3 Kgs of explosives A, B and C respectively. Bomb P is estimated to give the equivalent of a 3 ton explosion, Bomb Q a 3 ton explosion and Bomb Ra 4 ton explosion respectively. Under what production schedule the air force can make the biggest bang. (a). Write the Key decision, Objective function and LP for the given problem (b). Apply Simplex method to find the solution.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 50P
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Transcribed Image Text:An Air force is experimenting with three types
of bombs P, Q and R in which three kinds of
explosives, A, B and C will be used. Taking the
various factors in to accounts, it has been
decided to use the maximum 600 Kgs of
explosive A, 490 Kgs of explosive B and 560
Kgs of explosive C. Bomb P requires 3, 2, 2
Kg, Bomb Q requires 1,4,3 Kg and bomb R
requires 4,2,3 Kgs of explosives A, B and C
respectively. Bomb P is estimated to give the
equivalent of a 3 ton explosion, Bomb Q a 3
ton explosion and Bomb Ra 4 ton explosion
respectively. Under what production schedule
the air force can make the biggest bang.
(a). Write the Key decision, Objective function
and LP for the given problem
(b). Apply Simplex method to find the
solution.
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