Let us consider a linear programming problem shown below: <mtable columnalign="right left rig

poklanima5lqp3

poklanima5lqp3

Answered question

2022-04-06

Let us consider a linear programming problem shown below:
min x f ( x ) c
where, f ( x ) is a linear function of x. Now, can be following maximization problem be considered as an equivalent to the above minimization problem?
max x ( 1 f ( x ) c )

Answer & Explanation

ele5ph1a7jl1

ele5ph1a7jl1

Beginner2022-04-07Added 21 answers

It seems to work only if
f ( x ) c > 0 f ( x ) c < 0
Indeed if f ( x ) is increasing, that is f ( x ) > 0, we have that 1 f ( x ) c is decreasing, since
( 1 f ( x ) c ) = f ( x ) ( f ( x ) c ) 2 < 0
and if f ( x ) is decreasing that is f ( x ) > 0 we have that 1 f ( x ) c is increasing.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school geometry

Ask your question.
Get an expert answer.

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

Didn't find what you were looking for?