Let's consider the following linear inequalities: a − 10 ≤ b ≤ a − 7...

antennense

antennense

Answered

2022-07-15

Let's consider the following linear inequalities:
a 10 b a 7 b + 3 c b + 6 c + 3 d c + 6 d + 3 e d + 6
Is there a way to find a solution to this system where max ( | a | , | b | , | c | , | d | , | e | ) is minimized?

Answer & Explanation

lywiau63

lywiau63

Expert

2022-07-16Added 13 answers

With the changed question, the minimised maximum absolute value is 4.5
You have e d + 3 c + 6 b + 9 so e b 9 and max ( | b | , | e | ) 4.5
An optimal solution is ( 2.5 , 4.5 , 1.5 , 1.5 , 4.5 ) and others are similar with a [ 2.5 , 4.5 ]
dream13rxs

dream13rxs

Expert

2022-07-17Added 4 answers

No such restriction, all variables are positive/negative reals

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?