a lsat problem: need help!

littlebluesk

LSAT Section7 number 8
8  Coherent solution for the problem of reducing health-care costs cannot be found within the current piecemeal system of paying these costs. The reason is that system gives health-care providers and insurers every incentive to shift, wherever possible,the costs of treating illness onto each other or any other party,incluing the patient. That clearly is the lesson of the various reforms of the 1980s; push in on one part of this pliable spending balloon and an equally expensive bulge pops up elsewhere. For example, when the government health-care insurance program for the poor cut costs by disallowing pqyments for some visits to physicians, patients with advanced illness later presented themselves at hospital emergancy rooms in invreased numbers.

The argument provides the most suppout for which one of the following?
a: Under the conditions in which the current system operates, the overall volume of health-care costs could be shrunk, if at all, only by a comprehensive approach.
b:Relative to the resources availble for health-care funding, the income of the higher-paid health-care professionals is too high.
c:Heath-care costs are expanding to meet addtional funds that have been made availble for them.
d:Advances in medical technology have raised the expected standards of medical care but have proved expensive.
e:Since unfilled hospital beds contribute to overhead charges on each patient's bill. it would be unwise to hold unused hospital capacity in reserve for large-scale emergencies.

The correct anwer is "a", but i chose "e".

12:No mathematician today would flatly refuse to accept the results of an enormous computation as an adequate demonstration of the truth of a theorem. In 1976, however, this was not the case.Some mathematicians at that time refused to accept the results of a complex computer demonstration of a very simple mapping theorem.
Although some mathematicians still hold a strong belief that a simple theorem ought to have a short, simple proof, in fact, some simple theorems have required enormous proofs.
If all of the statements in the passage are true, which one of the following must also be true?
a: Today, some mathematicians who believe that a simple theorem ought th have a simple proof would consider accepting the results of an enormous computation as a demonstration of the truth of a theorem.
b:Some individuals who believe that a simple theorem ought to have a simple proof are not mathematicians.
c:Today,some individuals who refuse to accept the results of an enormous computation as demostration of the truth of a theorem believe that a simple theorem ought to have a simple proof.
d:Some individuals who do not believe that a simple theorem ought to have a simple proof would not be willing to accept the results of an enormous computation as proof of a complex theorem.
e:Some nonmathematicians do not believe that a simple theorem ought to have a simple proof.

the corret anwer  is "A"
could some nns explain the two problems for me?
thank you veryvery much!