A vendor buys x kg of peanuts and y kg of cashew nuts. (a) (i) To get a good bargain, she must buy a minimum of 10 kg of peanuts and a minimum of 5 kg of cashew nuts. Write TWO inequalities which satisfy these conditions. (ii) She buys no more than 60 kg of nuts. Peanuts cost $4.00 per kg and cashew nuts cost $8.00 per kg and she spends at least $200. Write TWO inequalities which satisfy these conditions. (S marks) (b) Using a scale of 2 cm to represent 10 kg on each axis, draw the graph of the FOUR inequalities in (a) (i) and (a) (ii). On your graph, shade ONLY the region which satisfies all four inequalities. (6 marks) (c) The profit on the sale of 1 kg of peanuts is $2.00 and on 1 kg of cashew nuts is $5.00. (i) Using your graph, determine the number of kilograms of each type of nut the vendor must sell in order to make the maximum profit. (ii) Calculate the maximum profit.