Sentence Correction

Outlining his strategy for nursing the troubled conglomerate back to health, the chief executive's plans were announced on Wednesday for cutting the company's huge debt by selling nearlv 512 billion in assets over the next 18 months.

A executive's plans were announced on Wednesday for cutting the company's huge debt by selling nearly $12billion in assets over the next 18 months
B executive's plans, which are to cut the company's huge debt by selling nearly $12 billion in assets over the next 18 months were announced on Wednesday.
C executive's plans for cutting the company's huge debt by selling nearly $12 billion in assets over the next 18 months were announced on Wednesday.
D executive announced plans Wednesday to cut the company's huge debt by selling nearly $12billion in assets over the next 18 months
E executive announced plans Wednesday that are to cut the company's huge debt by selling nearly $12billion in assets over the next 18 months

Okay i understand that in US without preposition on we can write the sentence as in option D
, my question is why explanations say that Outlining his strategy is a dangling modifier . i feel Outlining HIS can modify Executive's plan. I think plan can also outline his strategy .. and these plans could also be announced by some one else.As in "Results were announced on Wednesday" .The idea of plan outlining strategy perfectly makes sense to me. In c the only flaw i see is for cutting is not preferable when to cut is present but other wise it is correct.

I will also provide an example to make my point , veterans must have seen this questions :
Q)So dogged were Frances Perkins'investigations of the garment industry, and her lobbying for wage and hour reform was persistent, Alfred E. Smith and Franklin D. Roosevelt recruited Perkins to work within the government, rather than as a social worker.
OA : so persistent her lobbying for wage and hour reform, that

A crystal clear explanation would be much appreciated from an expert.