How does the capitalist and socialist systems produce/distribute goods? And how does it maximize freedom justice+general interest (look below)What...

Under the capitalist system, producers produce the goods
that they think consumers want, then if consumers buy those goods, they make more of
them.  Under a free market, each producer is free to produce what he thinks is needed,
and each consumer is free to buy what he thinks he needs.  Producers receive signals
about what to produce from the buying habits of the consumers.  The market is not always
free; sometimes capitalists get government to creat a captive market, such as the
California wine makers got government to place a 100% tariff on French wine, so that
Americans have to buy the high-priced California wines instead of the lower-priced
French wines.  [They claim we are still free since we can still buy the French wine if
we are willing to pay a lot more for it than the French wine-maker is asking for it. 
This is just a sophism (smoke and mirrors).]

Under the
communist system, producers produce what ever a central, governmental planning board
tells them to produce.  The few people on a planning board can never know nor sift
through all of the information that the free market produces and sifts for the
capitalist producer.  The communist consumers have to buy or reject whatever is put
before them, because the producers are not responding to whether or not the consumers
actually need their products; the producers are only responding to the central planning
board, which cannot know and may not care what the consumers need.  The planning board's
decisions may be driven by factors such as a member of the governing body has a lot of
rubber plantations and wants automobile tires made from natural rubber instead of better
petroleum based rubber.  (This kind of decision can be made under capitalism
too.) 

Guideance for the producer under capitalism comes
from politically powerful individuals and from the market.  Guideance for the producer
under communism comes from the politically powerful and from communist party
ideology.

Ideology is a political doctrine that promises
salvation in the here and now if everybody will just do everything that the ideologist
wants them to do, and if everybody does not want to do these things, then everybody must
be forced to do them, or eliminated (starved, executed, worked to death).  Ideology is
really just the excuse of a power-hungry, and evil person or party of persons to sieze
and hold all political power.

The principle of communism is
to have everything, including production, serve the siezing and holding of
power.