B. A farmer has to transport 20 people and 32 sheep to a market. He can use either Fiats (x) which take 2 people and 1 sheep, or Rolls Royces (y) which take 2 people and 4 sheep. He must not use more than 15 cars altogether.

Write all possible mathematical constraints ( 3 marks)
On a graph paper, draw all constraints and shade the unwanted region (6 marks)
list all of the vertices (4 marks)
What is the lowest total numbers of cars he could use? (2 marks)

If it costs $10 to hire each Fiat and $30 for each Rolls Royce, what is the cheapest solution? (5 marks)



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