A farm consists of 600 hectares of land of which 500 hectares will be planted with corn, barley and wheat,

A farm consists of 600 hectares of land of which 500 hectares will be planted with corn, barley and wheat, according to these conditions.

(1) At least half of the planted hectare should be in corn.

(2) No more than 200 hectares should be barley.

(3) The ratio of corn to wheat planted should be 2:1

It costs Birr 20 per hectare to plant corn, Birr 15 per hectare to plant barley and Birr 12 per hectare to plant wheat.

a. Formulate this problem as an LP model that will minimize planting cost while achieving the specified conditions.