# LP Example 3

- Author:
- NJT16

A farmer has

**20**hectares for growing**barley**and**swede**. The farmer has to decide how much of each to grow. The cost per hectare for barley is**£30**and for swede is**£20**. The farmer has budgeted a total amount to spend of**£480**. Barley needs**1 person day**per hectare and swede**2 person days**per hectare. There are**36 person days**available. The profit on barley is**£100**and on swede is**£120**per hectare. Find the number of hectares required of each to maximise profit.