Capitalism can never solve the problem of poverty, it is in fact going to exaggerate it.. In this system it is the capitalist class which keeps growing as it makes profit at the expense of the working class.. It is actually the workers who create wealth and the masters take away a lion's share..
Capitalism create more wealth than planned economy because the market always makes better decicions than political leaders. Survival of the fittest in work means only the most efficient at creating wealth survives. Without too many rules the wealth will also be better distributed as successful companies have to outbid each others when hiring workers on all levels. Governments are always corrupt, the only variation is to what degree. Power corrupts as we all know. Also companies in a planned ekonionomy are more corrupts because they have more ways to be corrupt, i.e. making the governments apply rules to their competitors that don't apply to themselves etc. There's really not that many ways to be corrupt in a free market with many players. Not sure what you mean when you say the workers create wealth? Capitalism means everybody get compensated according to the wealth they create. If not, the worker will go to a competitor that recognices that