Q2. An air force is experimenting with three types of bombs P, Q, and R in which three kinds of explosives, viz. A, B, and C will be used. Taking the various factors into account, it has been decided to use at the maximum 600 kg of explosive A, at least 480 kg of explosive B and exactly 540 kg of explosive C. Bomb P requires 3, 2, 2 kg, Bomb Q requires 1, 4, 3 kg and Bomb R requires 4, 2, 3 kg of explosives A, B, and C respectively. Bomb P is estimated to give the equivalent of 2-ton explosion, bomb Q, 3-ton explosion and bomb R, 4-ton explosion respectively. Under what production schedule can the Air Force make the biggest bang? Using the Big M method.
Q2. An air force is experimenting with three types of bombs P, Q, and R in which three kinds of explosives, viz. A, B, and C will be used. Taking the various factors into account, it has been decided to use at the maximum 600 kg of explosive A, at least 480 kg of explosive B and exactly 540 kg of explosive C. Bomb P requires 3, 2, 2 kg, Bomb Q requires 1, 4, 3 kg and Bomb R requires 4, 2, 3 kg of explosives A, B, and C respectively. Bomb P is estimated to give the equivalent of 2-ton explosion, bomb Q, 3-ton explosion and bomb R, 4-ton explosion respectively. Under what production schedule can the Air Force make the biggest bang? Using the Big M method.
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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Transcribed Image Text:Q2.
An air force is experimenting with three types of bombs P, Q, and R in which three kinds
of explosives, viz. A, B, and C will be used.
Taking the various factors into account, it has been decided to use at the maximum 600
kg of explosive A, at least 480 kg of explosive B and exactly 540 kg of explosive C.
Bomb P requires 3, 2, 2 kg, Bomb Q requires 1, 4, 3 kg and Bomb R requires 4, 2, 3 kg
of explosives A, B, and C respectively.
Bomb P is estimated to give the equivalent of 2-ton explosion, bomb Q, 3-ton explosion
and bomb R, 4-ton explosion respectively.
Under what production schedule can the Air Force make the biggest bang? Using the
Big M method.
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