Not necessarily, cost reductions can increase, decrease or have no effect the total expenditure on goods. The total effect is quite ambiguous depending on the income and substitution effects.
>>aesh2X+A7
Because for most products brand fidelity isn't keeping competition away. Higher than necessary margin does not last long in a competitive market.
>>hirako+ly1
Good point. That can be true if two competitors are competing on price as a primary factor. Price might not be the biggest factor, however, and improving the margin would be attainable in that gap.