The correct option is B No Improvement
'For' indicates a period of time whereas 'since' refers to a specific time till the time now.
For example, 'He was detained for a day.'
'He has been detained since Tuesday.'
Option D: The given sentence mentions a period of time "a month". Hence the underlined word 'for' requires no improvement and option D is correct.
Option C is incorrect for the same reason. 'Since' is used to refer to a specific time in the past that continues till the present, but here it isn't the situation.
Option A: 'From' refers to a starting point (in space or time). For example, 'from 10 o'clock in the morning to 5 o'clock in the evening.' It isn't relevant here, hence A is incorrect.
Option B: 'Until' means 'up to a certain point in time'. For example, 'She did not leave until midnight.' It isn't the case here, hence B is also incorrect.