The productivity of a labourer depends on his daily wage. In some range of wage, the more he is paid, the better his health and the more work he is able to do in a given day. Suppose that the relationship between productivity and daily wage is as follows. No work is done for wage below Rs. 20 per day. Each rupee earned above 20 increases productivity by 5 units until the daily wage is Rs. 140 per day. Beyond this level of wage, productivity is constant. If a farmer needs to hire labour for a total of 6000 units of work per day, how many labourers is he likely to hire?
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