Please see Dilbert cartoon regarding government contract CO$2$ capture machine on Internet, which provides the context for this question. As I cannot attach a cartoon image or URL.

$1.$ In the third panel of the comic, Alice suggests capturing CO$2$ with a net. Explain in one sentence what is wrong with this idea.

$2.$ In the $6$th panel of the cartoon, Wally suggests attracting CO$2$ with some sort of food. Explain in one sentence why this won't work.

$3.$ In the second panel of the cartoon, Dilbert says there are no "bad ideas", but this is clearly false. What do the two bad ideas share that makes them bad ideas $($and the cartoon so funny$)?$

$4.$ Suppose you were assigned to formalize enough knowledge to enable an AI system to infer that one of these ideas will not work. List two concepts that you$$d need to formalize, among others, to do this.

$5.$ Using natural language that is increasingly more specific is a useful way to work out how to represent something more formally. Finish the sentence $$An idea is infeasible if $...$ in a way that would cover both of the bad ideas in the comic and many others.