An agriculturist has a 125-acre farm. He produces radish, muttarand potato. Whatever he raises is sold fully in the market. He gets Rs 5 per kg for radish, Rs 4 per kg for muttar and Rs 5 per kg for potato. The average per acre yield is 1500 kg of radish, 1800 kg of muttar and 1200 kg of potato. To produce each 100 kg of radish and muttar and 80 kg of potato, a sum of Rs 12.50 has to be used for manure. Labour required for each acre to raise the crop is 6 man-days for radish and potato each and 5 man-days for muttar.

A total of 500 man-days of labour at a rate of Rs 40 per man-day is available.

Formulate this as a linear programming model to maximise the agriculturist's total profit.