I have to solve this optimization problem max x ( A B − x C D ( E + F ) ) subject to A B x − C D ( E + F ) ≤ Gand 0 &lt; x ≤ A B D C ( E + F ) .How can I solve it?

Question

I have to solve this optimization problem      max    x        (    A    B    −                  x        C            D        (    E    +    F    )    )  subject to            A      B        x    −      C    D    (  E  +  F  )  ≤  Gand  0  &amp;lt;  x  ≤            A      B      D              C      (      E      +      F      )        .How can I solve it?

Danika Rojas · Accepted Answer

The first constraint implies   A  B  −  x  C  (  E  +  F  )      /    D  ≤  G  x. If   G  &amp;gt;  0 then the maximum value of   x achieves the maximum.

Joel French · Accepted Answer

Provided   A  ,  B  ,  C  ,  D  ,  E  ,  F  ,  G are constant, then:  A  B  −            x      C        D    (  E  +  F  )  ≤  G  x  ≤            A      B      D      G              C      (      E      +      F      )        .

I have to solve this optimization problem <munder> <mo form="prefix">max x </mund

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Answer & Explanation

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